The hypoelliptic Laplacian and Ray-Singer metrics /:
This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2008.
|
| Schriftenreihe: | Annals of mathematics studies ;
no. 167. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give th. |
| Beschreibung: | 1 online resource (viii, 367 pages :) |
| Bibliographie: | Includes bibliographical references (pages 353-357) and indexes. |
| ISBN: | 9781400829064 1400829062 9786612458378 6612458372 |
Internformat
MARC
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| 049 | |a MAIN | ||
| 100 | 1 | |a Bismut, Jean-Michel. |0 http://id.loc.gov/authorities/names/n82207855 | |
| 245 | 1 | 4 | |a The hypoelliptic Laplacian and Ray-Singer metrics / |c Jean-Michel Bismut, Gilles Lebeau. |
| 260 | |a Princeton : |b Princeton University Press, |c 2008. | ||
| 300 | |a 1 online resource (viii, 367 pages :) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 490 | 1 | |a Annals of mathematics studies ; |v no. 167 | |
| 504 | |a Includes bibliographical references (pages 353-357) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give th. | ||
| 505 | 0 | |a Contents; Introduction; Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles; Chapter 2. The hypoelliptic Laplacian on the cotangent bundle; Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel; Chapter 4. Hypoelliptic Laplacians and odd Chern forms; Chapter 5. The limit as t? +8 and b? 0 of the superconnection forms; Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics; Chapter 7. The hypoelliptic torsion forms of a vector bundle; Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula. | |
| 505 | 8 | |a Chapter 9. A comparison formula for the Ray-Singer metricsChapter 10. The harmonic forms for b? 0 and the formal Hodge theorem; Chapter 11. A proof of equation (8.4.6); Chapter 12. A proof of equation (8.4.8); Chapter 13. A proof of equation (8.4.7); Chapter 14. The integration by parts formula; Chapter 15. The hypoelliptic estimates; Chapter 16. Harmonic oscillator and the J[sub(0)] function; Chapter 17. The limit of [omitt. | |
| 546 | |a In English. | ||
| 650 | 0 | |a Differential equations, Hypoelliptic. |0 http://id.loc.gov/authorities/subjects/sh85037901 | |
| 650 | 0 | |a Laplacian operator. |0 http://id.loc.gov/authorities/subjects/sh85074667 | |
| 650 | 0 | |a Metric spaces. |0 http://id.loc.gov/authorities/subjects/sh85084441 | |
| 650 | 6 | |a Équations différentielles hypo-elliptiques. | |
| 650 | 6 | |a Laplacien. | |
| 650 | 6 | |a Espaces métriques. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Hypoelliptic |2 fast | |
| 650 | 7 | |a Laplacian operator |2 fast | |
| 650 | 7 | |a Metric spaces |2 fast | |
| 650 | 7 | |a Hodge-Theorie |2 gnd |0 http://d-nb.info/gnd/4135967-7 | |
| 650 | 7 | |a Hypoelliptischer Operator |2 gnd |0 http://d-nb.info/gnd/4138891-4 | |
| 650 | 7 | |a Laplace-Operator |2 gnd |0 http://d-nb.info/gnd/4166772-4 | |
| 650 | 1 | 7 | |a Elliptische differentiaalvergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Laplace-operatoren. |2 gtt |
| 650 | 1 | 7 | |a Metrische ruimten. |0 (NL-LeOCL)078589746 |2 gtt |
| 650 | 1 | 7 | |a Partiële differentiaalvergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Tweede orde. |0 (NL-LeOCL)078696275 |2 gtt |
| 653 | |a Alexander Grothendieck. | ||
| 653 | |a Analytic function. | ||
| 653 | |a Asymptote. | ||
| 653 | |a Asymptotic expansion. | ||
| 653 | |a Berezin integral. | ||
| 653 | |a Bijection. | ||
| 653 | |a Brownian dynamics. | ||
| 653 | |a Brownian motion. | ||
| 653 | |a Chaos theory. | ||
| 653 | |a Chern class. | ||
| 653 | |a Classical Wiener space. | ||
| 653 | |a Clifford algebra. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Combination. | ||
| 653 | |a Commutator. | ||
| 653 | |a Computation. | ||
| 653 | |a Connection form. | ||
| 653 | |a Coordinate system. | ||
| 653 | |a Cotangent bundle. | ||
| 653 | |a Covariance matrix. | ||
| 653 | |a Curvature tensor. | ||
| 653 | |a Curvature. | ||
| 653 | |a De Rham cohomology. | ||
| 653 | |a Derivative. | ||
| 653 | |a Determinant. | ||
| 653 | |a Differentiable manifold. | ||
| 653 | |a Differential operator. | ||
| 653 | |a Dirac operator. | ||
| 653 | |a Direct proof. | ||
| 653 | |a Eigenform. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Ellipse. | ||
| 653 | |a Embedding. | ||
| 653 | |a Equation. | ||
| 653 | |a Estimation. | ||
| 653 | |a Euclidean space. | ||
| 653 | |a Explicit formula. | ||
| 653 | |a Explicit formulae (L-function). | ||
| 653 | |a Feynman-Kac formula. | ||
| 653 | |a Fiber bundle. | ||
| 653 | |a Fokker-Planck equation. | ||
| 653 | |a Formal power series. | ||
| 653 | |a Fourier series. | ||
| 653 | |a Fourier transform. | ||
| 653 | |a Fredholm determinant. | ||
| 653 | |a Function space. | ||
| 653 | |a Girsanov theorem. | ||
| 653 | |a Ground state. | ||
| 653 | |a Heat kernel. | ||
| 653 | |a Hilbert space. | ||
| 653 | |a Hodge theory. | ||
| 653 | |a Holomorphic function. | ||
| 653 | |a Holomorphic vector bundle. | ||
| 653 | |a Hypoelliptic operator. | ||
| 653 | |a Integration by parts. | ||
| 653 | |a Invertible matrix. | ||
| 653 | |a Logarithm. | ||
| 653 | |a Malliavin calculus. | ||
| 653 | |a Martingale (probability theory). | ||
| 653 | |a Matrix calculus. | ||
| 653 | |a Mellin transform. | ||
| 653 | |a Morse theory. | ||
| 653 | |a Notation. | ||
| 653 | |a Parameter. | ||
| 653 | |a Parametrix. | ||
| 653 | |a Parity (mathematics). | ||
| 653 | |a Polynomial. | ||
| 653 | |a Principal bundle. | ||
| 653 | |a Probabilistic method. | ||
| 653 | |a Projection (linear algebra). | ||
| 653 | |a Rectangle. | ||
| 653 | |a Resolvent set. | ||
| 653 | |a Ricci curvature. | ||
| 653 | |a Riemann-Roch theorem. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Self-adjoint operator. | ||
| 653 | |a Self-adjoint. | ||
| 653 | |a Sign convention. | ||
| 653 | |a Smoothness. | ||
| 653 | |a Sobolev space. | ||
| 653 | |a Spectral theory. | ||
| 653 | |a Square root. | ||
| 653 | |a Stochastic calculus. | ||
| 653 | |a Stochastic process. | ||
| 653 | |a Summation. | ||
| 653 | |a Supertrace. | ||
| 653 | |a Symmetric space. | ||
| 653 | |a Tangent space. | ||
| 653 | |a Taylor series. | ||
| 653 | |a Theorem. | ||
| 653 | |a Theory. | ||
| 653 | |a Torus. | ||
| 653 | |a Trace class. | ||
| 653 | |a Translational symmetry. | ||
| 653 | |a Transversality (mathematics). | ||
| 653 | |a Uniform convergence. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Vector bundle. | ||
| 653 | |a Vector space. | ||
| 653 | |a Wave equation. | ||
| 700 | 1 | |a Lebeau, Gilles. |0 http://id.loc.gov/authorities/names/no95029279 | |
| 758 | |i has work: |a The hypoelliptic Laplacian and Ray-Singer metrics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG4q3fCTBPGwKG3RKvvbkC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Bismut, Jean-Michel. |t Hypoelliptic Laplacian and Ray-Singer metrics. |d Princeton : Princeton University Press, 2008 |z 9780691137322 |w (DLC) 2008062103 |w (OCoLC)213133468 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 167. |0 http://id.loc.gov/authorities/names/n42002129 | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn593214464 |
|---|---|
| _version_ | 1813903356682305536 |
| adam_text | |
| any_adam_object | |
| author | Bismut, Jean-Michel |
| author2 | Lebeau, Gilles |
| author2_role | |
| author2_variant | g l gl |
| author_GND | http://id.loc.gov/authorities/names/n82207855 http://id.loc.gov/authorities/names/no95029279 |
| author_facet | Bismut, Jean-Michel Lebeau, Gilles |
| author_role | |
| author_sort | Bismut, Jean-Michel |
| author_variant | j m b jmb |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 .B674 2008eb |
| callnumber-search | QA377 .B674 2008eb |
| callnumber-sort | QA 3377 B674 42008EB |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| collection | ZDB-4-EBA |
| contents | Contents; Introduction; Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles; Chapter 2. The hypoelliptic Laplacian on the cotangent bundle; Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel; Chapter 4. Hypoelliptic Laplacians and odd Chern forms; Chapter 5. The limit as t? +8 and b? 0 of the superconnection forms; Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics; Chapter 7. The hypoelliptic torsion forms of a vector bundle; Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula. Chapter 9. A comparison formula for the Ray-Singer metricsChapter 10. The harmonic forms for b? 0 and the formal Hodge theorem; Chapter 11. A proof of equation (8.4.6); Chapter 12. A proof of equation (8.4.8); Chapter 13. A proof of equation (8.4.7); Chapter 14. The integration by parts formula; Chapter 15. The hypoelliptic estimates; Chapter 16. Harmonic oscillator and the J[sub(0)] function; Chapter 17. The limit of [omitt. |
| ctrlnum | (OCoLC)593214464 |
| dewey-full | 515/.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7242 |
| dewey-search | 515/.7242 |
| dewey-sort | 3515 47242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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620</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bismut, Jean-Michel.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n82207855</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The hypoelliptic Laplacian and Ray-Singer metrics /</subfield><subfield code="c">Jean-Michel Bismut, Gilles Lebeau.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Princeton :</subfield><subfield code="b">Princeton University Press,</subfield><subfield code="c">2008.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (viii, 367 pages :)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">data file</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Annals of mathematics studies ;</subfield><subfield code="v">no. 167</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 353-357) and indexes.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give th.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Contents; Introduction; Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles; Chapter 2. The hypoelliptic Laplacian on the cotangent bundle; Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel; Chapter 4. Hypoelliptic Laplacians and odd Chern forms; Chapter 5. The limit as t? +8 and b? 0 of the superconnection forms; Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics; Chapter 7. The hypoelliptic torsion forms of a vector bundle; Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Chapter 9. A comparison formula for the Ray-Singer metricsChapter 10. The harmonic forms for b? 0 and the formal Hodge theorem; Chapter 11. A proof of equation (8.4.6); Chapter 12. A proof of equation (8.4.8); Chapter 13. A proof of equation (8.4.7); Chapter 14. The integration by parts formula; Chapter 15. The hypoelliptic estimates; Chapter 16. Harmonic oscillator and the J[sub(0)] function; Chapter 17. 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| id | ZDB-4-EBA-ocn593214464 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:17:23Z |
| institution | BVB |
| isbn | 9781400829064 1400829062 9786612458378 6612458372 |
| language | English |
| lccn | 2008062103 |
| oclc_num | 593214464 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (viii, 367 pages :) |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Annals of mathematics studies ; |
| series2 | Annals of mathematics studies ; |
| spelling | Bismut, Jean-Michel. http://id.loc.gov/authorities/names/n82207855 The hypoelliptic Laplacian and Ray-Singer metrics / Jean-Michel Bismut, Gilles Lebeau. Princeton : Princeton University Press, 2008. 1 online resource (viii, 367 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Annals of mathematics studies ; no. 167 Includes bibliographical references (pages 353-357) and indexes. Print version record. This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give th. Contents; Introduction; Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles; Chapter 2. The hypoelliptic Laplacian on the cotangent bundle; Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel; Chapter 4. Hypoelliptic Laplacians and odd Chern forms; Chapter 5. The limit as t? +8 and b? 0 of the superconnection forms; Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics; Chapter 7. The hypoelliptic torsion forms of a vector bundle; Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula. Chapter 9. A comparison formula for the Ray-Singer metricsChapter 10. The harmonic forms for b? 0 and the formal Hodge theorem; Chapter 11. A proof of equation (8.4.6); Chapter 12. A proof of equation (8.4.8); Chapter 13. A proof of equation (8.4.7); Chapter 14. The integration by parts formula; Chapter 15. The hypoelliptic estimates; Chapter 16. Harmonic oscillator and the J[sub(0)] function; Chapter 17. The limit of [omitt. In English. Differential equations, Hypoelliptic. http://id.loc.gov/authorities/subjects/sh85037901 Laplacian operator. http://id.loc.gov/authorities/subjects/sh85074667 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Équations différentielles hypo-elliptiques. Laplacien. Espaces métriques. MATHEMATICS Functional Analysis. bisacsh MATHEMATICS Geometry General. bisacsh Differential equations, Hypoelliptic fast Laplacian operator fast Metric spaces fast Hodge-Theorie gnd http://d-nb.info/gnd/4135967-7 Hypoelliptischer Operator gnd http://d-nb.info/gnd/4138891-4 Laplace-Operator gnd http://d-nb.info/gnd/4166772-4 Elliptische differentiaalvergelijkingen. gtt Laplace-operatoren. gtt Metrische ruimten. (NL-LeOCL)078589746 gtt Partiële differentiaalvergelijkingen. gtt Tweede orde. (NL-LeOCL)078696275 gtt Alexander Grothendieck. Analytic function. Asymptote. Asymptotic expansion. Berezin integral. Bijection. Brownian dynamics. Brownian motion. Chaos theory. Chern class. Classical Wiener space. Clifford algebra. Cohomology. Combination. Commutator. Computation. Connection form. Coordinate system. Cotangent bundle. Covariance matrix. Curvature tensor. Curvature. De Rham cohomology. Derivative. Determinant. Differentiable manifold. Differential operator. Dirac operator. Direct proof. Eigenform. Eigenvalues and eigenvectors. Ellipse. Embedding. Equation. Estimation. Euclidean space. Explicit formula. Explicit formulae (L-function). Feynman-Kac formula. Fiber bundle. Fokker-Planck equation. Formal power series. Fourier series. Fourier transform. Fredholm determinant. Function space. Girsanov theorem. Ground state. Heat kernel. Hilbert space. Hodge theory. Holomorphic function. Holomorphic vector bundle. Hypoelliptic operator. Integration by parts. Invertible matrix. Logarithm. Malliavin calculus. Martingale (probability theory). Matrix calculus. Mellin transform. Morse theory. Notation. Parameter. Parametrix. Parity (mathematics). Polynomial. Principal bundle. Probabilistic method. Projection (linear algebra). Rectangle. Resolvent set. Ricci curvature. Riemann-Roch theorem. Scientific notation. Self-adjoint operator. Self-adjoint. Sign convention. Smoothness. Sobolev space. Spectral theory. Square root. Stochastic calculus. Stochastic process. Summation. Supertrace. Symmetric space. Tangent space. Taylor series. Theorem. Theory. Torus. Trace class. Translational symmetry. Transversality (mathematics). Uniform convergence. Variable (mathematics). Vector bundle. Vector space. Wave equation. Lebeau, Gilles. http://id.loc.gov/authorities/names/no95029279 has work: The hypoelliptic Laplacian and Ray-Singer metrics (Text) https://id.oclc.org/worldcat/entity/E39PCG4q3fCTBPGwKG3RKvvbkC https://id.oclc.org/worldcat/ontology/hasWork Print version: Bismut, Jean-Michel. Hypoelliptic Laplacian and Ray-Singer metrics. Princeton : Princeton University Press, 2008 9780691137322 (DLC) 2008062103 (OCoLC)213133468 Annals of mathematics studies ; no. 167. http://id.loc.gov/authorities/names/n42002129 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305771 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305771 Volltext |
| spellingShingle | Bismut, Jean-Michel The hypoelliptic Laplacian and Ray-Singer metrics / Annals of mathematics studies ; Contents; Introduction; Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles; Chapter 2. The hypoelliptic Laplacian on the cotangent bundle; Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel; Chapter 4. Hypoelliptic Laplacians and odd Chern forms; Chapter 5. The limit as t? +8 and b? 0 of the superconnection forms; Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics; Chapter 7. The hypoelliptic torsion forms of a vector bundle; Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula. Chapter 9. A comparison formula for the Ray-Singer metricsChapter 10. The harmonic forms for b? 0 and the formal Hodge theorem; Chapter 11. A proof of equation (8.4.6); Chapter 12. A proof of equation (8.4.8); Chapter 13. A proof of equation (8.4.7); Chapter 14. The integration by parts formula; Chapter 15. The hypoelliptic estimates; Chapter 16. Harmonic oscillator and the J[sub(0)] function; Chapter 17. The limit of [omitt. Differential equations, Hypoelliptic. http://id.loc.gov/authorities/subjects/sh85037901 Laplacian operator. http://id.loc.gov/authorities/subjects/sh85074667 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Équations différentielles hypo-elliptiques. Laplacien. Espaces métriques. MATHEMATICS Functional Analysis. bisacsh MATHEMATICS Geometry General. bisacsh Differential equations, Hypoelliptic fast Laplacian operator fast Metric spaces fast Hodge-Theorie gnd http://d-nb.info/gnd/4135967-7 Hypoelliptischer Operator gnd http://d-nb.info/gnd/4138891-4 Laplace-Operator gnd http://d-nb.info/gnd/4166772-4 Elliptische differentiaalvergelijkingen. gtt Laplace-operatoren. gtt Metrische ruimten. (NL-LeOCL)078589746 gtt Partiële differentiaalvergelijkingen. gtt Tweede orde. (NL-LeOCL)078696275 gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037901 http://id.loc.gov/authorities/subjects/sh85074667 http://id.loc.gov/authorities/subjects/sh85084441 http://d-nb.info/gnd/4135967-7 http://d-nb.info/gnd/4138891-4 http://d-nb.info/gnd/4166772-4 (NL-LeOCL)078589746 (NL-LeOCL)078696275 |
| title | The hypoelliptic Laplacian and Ray-Singer metrics / |
| title_auth | The hypoelliptic Laplacian and Ray-Singer metrics / |
| title_exact_search | The hypoelliptic Laplacian and Ray-Singer metrics / |
| title_full | The hypoelliptic Laplacian and Ray-Singer metrics / Jean-Michel Bismut, Gilles Lebeau. |
| title_fullStr | The hypoelliptic Laplacian and Ray-Singer metrics / Jean-Michel Bismut, Gilles Lebeau. |
| title_full_unstemmed | The hypoelliptic Laplacian and Ray-Singer metrics / Jean-Michel Bismut, Gilles Lebeau. |
| title_short | The hypoelliptic Laplacian and Ray-Singer metrics / |
| title_sort | hypoelliptic laplacian and ray singer metrics |
| topic | Differential equations, Hypoelliptic. http://id.loc.gov/authorities/subjects/sh85037901 Laplacian operator. http://id.loc.gov/authorities/subjects/sh85074667 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Équations différentielles hypo-elliptiques. Laplacien. Espaces métriques. MATHEMATICS Functional Analysis. bisacsh MATHEMATICS Geometry General. bisacsh Differential equations, Hypoelliptic fast Laplacian operator fast Metric spaces fast Hodge-Theorie gnd http://d-nb.info/gnd/4135967-7 Hypoelliptischer Operator gnd http://d-nb.info/gnd/4138891-4 Laplace-Operator gnd http://d-nb.info/gnd/4166772-4 Elliptische differentiaalvergelijkingen. gtt Laplace-operatoren. gtt Metrische ruimten. (NL-LeOCL)078589746 gtt Partiële differentiaalvergelijkingen. gtt Tweede orde. (NL-LeOCL)078696275 gtt |
| topic_facet | Differential equations, Hypoelliptic. Laplacian operator. Metric spaces. Équations différentielles hypo-elliptiques. Laplacien. Espaces métriques. MATHEMATICS Functional Analysis. MATHEMATICS Geometry General. Differential equations, Hypoelliptic Laplacian operator Metric spaces Hodge-Theorie Hypoelliptischer Operator Laplace-Operator Elliptische differentiaalvergelijkingen. Laplace-operatoren. Metrische ruimten. Partiële differentiaalvergelijkingen. Tweede orde. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305771 |
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