Introduction to Fourier Analysis on Euclidean Spaces (PMS-32).:
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more g...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton University Press,
2016.
|
| Schriftenreihe: | Princeton mathematical series ;
32. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces. |
| Beschreibung: | 1 online resource |
| ISBN: | 140088389X 9781400883899 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn950698790 | ||
| 003 | OCoLC | ||
| 005 | 20240705115654.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 160527s2016 xx o 000 0 eng d | ||
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| 019 | |a 951032146 |a 959032275 |a 979579224 | ||
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| 024 | 7 | |a 10.1515/9781400883899 |2 doi | |
| 035 | |a (OCoLC)950698790 |z (OCoLC)951032146 |z (OCoLC)959032275 |z (OCoLC)979579224 | ||
| 037 | |a 923938 |b MIL | ||
| 050 | 4 | |a QA403 | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 7 | |a 515 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Stein, Elias M. | |
| 245 | 1 | 0 | |a Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| 260 | |b Princeton University Press, |c 2016. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 347 | |b PDF | ||
| 490 | 1 | |a Princeton mathematical series ; |v 32 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t I. The Fourier Transform -- |t II. Boundary Values of Harmonic Functions -- |t III. The Theory of H -- |t IV. Symmetry Properties o f the Fourier Transform -- |t V. Interpolation of Operators -- |t VI. Singular Integrals and Systems of Conjugate Harmonic Functions -- |t VII. Multiple Fourier Series -- |t Bibliography -- |t Index |
| 520 | |a The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces. | ||
| 546 | |a In English. | ||
| 650 | 0 | |a Harmonic analysis. |0 http://id.loc.gov/authorities/subjects/sh85058939 | |
| 650 | 0 | |a Fourier analysis. |0 http://id.loc.gov/authorities/subjects/sh85051088 | |
| 650 | 0 | |a Harmonic functions. |0 http://id.loc.gov/authorities/subjects/sh85058943 | |
| 650 | 2 | |a Fourier Analysis |0 https://id.nlm.nih.gov/mesh/D005583 | |
| 650 | 6 | |a Analyse harmonique. | |
| 650 | 6 | |a Analyse de Fourier. | |
| 650 | 6 | |a Fonctions harmoniques. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Fourier analysis |2 fast | |
| 650 | 7 | |a Harmonic analysis |2 fast | |
| 650 | 7 | |a Harmonic functions |2 fast | |
| 653 | |a Analytic continuation. | ||
| 653 | |a Analytic function. | ||
| 653 | |a Banach algebra. | ||
| 653 | |a Banach space. | ||
| 653 | |a Bessel function. | ||
| 653 | |a Borel measure. | ||
| 653 | |a Boundary value problem. | ||
| 653 | |a Bounded operator. | ||
| 653 | |a Bounded set (topological vector space). | ||
| 653 | |a Cartesian coordinate system. | ||
| 653 | |a Cauchy-Riemann equations. | ||
| 653 | |a Change of variables. | ||
| 653 | |a Characteristic function (probability theory). | ||
| 653 | |a Characterization (mathematics). | ||
| 653 | |a Complex plane. | ||
| 653 | |a Conformal map. | ||
| 653 | |a Conjugate transpose. | ||
| 653 | |a Continuous function (set theory). | ||
| 653 | |a Continuous function. | ||
| 653 | |a Convolution. | ||
| 653 | |a Differentiation of integrals. | ||
| 653 | |a Dimensional analysis. | ||
| 653 | |a Dirichlet problem. | ||
| 653 | |a Disk (mathematics). | ||
| 653 | |a Distribution (mathematics). | ||
| 653 | |a Equation. | ||
| 653 | |a Euclidean space. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Fourier analysis. | ||
| 653 | |a Fourier inversion theorem. | ||
| 653 | |a Fourier series. | ||
| 653 | |a Fourier transform. | ||
| 653 | |a Fubini's theorem. | ||
| 653 | |a Function (mathematics). | ||
| 653 | |a Function space. | ||
| 653 | |a Green's theorem. | ||
| 653 | |a Hardy's inequality. | ||
| 653 | |a Hardy-Littlewood maximal function. | ||
| 653 | |a Harmonic analysis. | ||
| 653 | |a Harmonic function. | ||
| 653 | |a Hermitian matrix. | ||
| 653 | |a Hilbert transform. | ||
| 653 | |a Holomorphic function. | ||
| 653 | |a Homogeneous function. | ||
| 653 | |a Inequality (mathematics). | ||
| 653 | |a Infimum and supremum. | ||
| 653 | |a Interpolation theorem. | ||
| 653 | |a Interval (mathematics). | ||
| 653 | |a Lebesgue integration. | ||
| 653 | |a Lebesgue measure. | ||
| 653 | |a Linear interpolation. | ||
| 653 | |a Linear map. | ||
| 653 | |a Linear space (geometry). | ||
| 653 | |a Line-line intersection. | ||
| 653 | |a Liouville's theorem (Hamiltonian). | ||
| 653 | |a Lipschitz continuity. | ||
| 653 | |a Locally integrable function. | ||
| 653 | |a Lp space. | ||
| 653 | |a Majorization. | ||
| 653 | |a Marcinkiewicz interpolation theorem. | ||
| 653 | |a Mean value theorem. | ||
| 653 | |a Measure (mathematics). | ||
| 653 | |a Mellin transform. | ||
| 653 | |a Monotonic function. | ||
| 653 | |a Multiplication operator. | ||
| 653 | |a Norm (mathematics). | ||
| 653 | |a Operator norm. | ||
| 653 | |a Orthogonal group. | ||
| 653 | |a Paley-Wiener theorem. | ||
| 653 | |a Partial derivative. | ||
| 653 | |a Partial differential equation. | ||
| 653 | |a Plancherel theorem. | ||
| 653 | |a Pointwise convergence. | ||
| 653 | |a Poisson kernel. | ||
| 653 | |a Poisson summation formula. | ||
| 653 | |a Polynomial. | ||
| 653 | |a Principal value. | ||
| 653 | |a Quadratic form. | ||
| 653 | |a Radial function. | ||
| 653 | |a Radon-Nikodym theorem. | ||
| 653 | |a Representation theorem. | ||
| 653 | |a Riesz transform. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Series expansion. | ||
| 653 | |a Singular integral. | ||
| 653 | |a Special case. | ||
| 653 | |a Subharmonic function. | ||
| 653 | |a Support (mathematics). | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology. | ||
| 653 | |a Total variation. | ||
| 653 | |a Trigonometric polynomial. | ||
| 653 | |a Trigonometric series. | ||
| 653 | |a Two-dimensional space. | ||
| 653 | |a Union (set theory). | ||
| 653 | |a Unit disk. | ||
| 653 | |a Unit sphere. | ||
| 653 | |a Upper half-plane. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Vector space. | ||
| 758 | |i has work: |a Introduction to fourier analysis on euclidean spaces (Work) |1 https://id.oclc.org/worldcat/entity/E39PCFJtdR3y9rW3mHCb98Hf7b |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 069108078X |z 9780691080789 |w (DLC) 73106394 |w (OCoLC)213295 |
| 830 | 0 | |a Princeton mathematical series ; |v 32. |0 http://id.loc.gov/authorities/names/n42019693 | |
| 856 | 1 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1232567 |3 Volltext | |
| 856 | 1 | |l CBO01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1232567 |3 Volltext | |
| 936 | |a BATCHLOAD | ||
| 938 | |a De Gruyter |b DEGR |n 9781400883899 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4510790 | ||
| 938 | |a EBSCOhost |b EBSC |n 1232567 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis34537676 | ||
| 938 | |a YBP Library Services |b YANK |n 13000882 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn950698790 |
|---|---|
| _version_ | 1813903721562636288 |
| adam_text | |
| any_adam_object | |
| author | Stein, Elias M. |
| author_facet | Stein, Elias M. |
| author_role | |
| author_sort | Stein, Elias M. |
| author_variant | e m s em ems |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA403 |
| callnumber-raw | QA403 |
| callnumber-search | QA403 |
| callnumber-sort | QA 3403 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Frontmatter -- Preface -- Contents -- I. The Fourier Transform -- II. Boundary Values of Harmonic Functions -- III. The Theory of H -- IV. Symmetry Properties o f the Fourier Transform -- V. Interpolation of Operators -- VI. Singular Integrals and Systems of Conjugate Harmonic Functions -- VII. Multiple Fourier Series -- Bibliography -- Index |
| ctrlnum | (OCoLC)950698790 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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"><subfield code="a">Principal value.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quadratic form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Radial function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Radon-Nikodym theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Representation theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riesz transform.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scientific notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Series expansion.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Singular integral.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield 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| id | ZDB-4-EBA-ocn950698790 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-25T16:23:11Z |
| institution | BVB |
| isbn | 140088389X 9781400883899 |
| language | English |
| oclc_num | 950698790 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource |
| psigel | ZDB-4-EBA |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Princeton mathematical series ; |
| series2 | Princeton mathematical series ; |
| spelling | Stein, Elias M. Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). Princeton University Press, 2016. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier text file Princeton mathematical series ; 32 Print version record. Frontmatter -- Preface -- Contents -- I. The Fourier Transform -- II. Boundary Values of Harmonic Functions -- III. The Theory of H -- IV. Symmetry Properties o f the Fourier Transform -- V. Interpolation of Operators -- VI. Singular Integrals and Systems of Conjugate Harmonic Functions -- VII. Multiple Fourier Series -- Bibliography -- Index The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces. In English. Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Fourier analysis. http://id.loc.gov/authorities/subjects/sh85051088 Harmonic functions. http://id.loc.gov/authorities/subjects/sh85058943 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse harmonique. Analyse de Fourier. Fonctions harmoniques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fourier analysis fast Harmonic analysis fast Harmonic functions fast Analytic continuation. Analytic function. Banach algebra. Banach space. Bessel function. Borel measure. Boundary value problem. Bounded operator. Bounded set (topological vector space). Cartesian coordinate system. Cauchy-Riemann equations. Change of variables. Characteristic function (probability theory). Characterization (mathematics). Complex plane. Conformal map. Conjugate transpose. Continuous function (set theory). Continuous function. Convolution. Differentiation of integrals. Dimensional analysis. Dirichlet problem. Disk (mathematics). Distribution (mathematics). Equation. Euclidean space. Existential quantification. Fourier analysis. Fourier inversion theorem. Fourier series. Fourier transform. Fubini's theorem. Function (mathematics). Function space. Green's theorem. Hardy's inequality. Hardy-Littlewood maximal function. Harmonic analysis. Harmonic function. Hermitian matrix. Hilbert transform. Holomorphic function. Homogeneous function. Inequality (mathematics). Infimum and supremum. Interpolation theorem. Interval (mathematics). Lebesgue integration. Lebesgue measure. Linear interpolation. Linear map. Linear space (geometry). Line-line intersection. Liouville's theorem (Hamiltonian). Lipschitz continuity. Locally integrable function. Lp space. Majorization. Marcinkiewicz interpolation theorem. Mean value theorem. Measure (mathematics). Mellin transform. Monotonic function. Multiplication operator. Norm (mathematics). Operator norm. Orthogonal group. Paley-Wiener theorem. Partial derivative. Partial differential equation. Plancherel theorem. Pointwise convergence. Poisson kernel. Poisson summation formula. Polynomial. Principal value. Quadratic form. Radial function. Radon-Nikodym theorem. Representation theorem. Riesz transform. Scientific notation. Series expansion. Singular integral. Special case. Subharmonic function. Support (mathematics). Theorem. Topology. Total variation. Trigonometric polynomial. Trigonometric series. Two-dimensional space. Union (set theory). Unit disk. Unit sphere. Upper half-plane. Variable (mathematics). Vector space. has work: Introduction to fourier analysis on euclidean spaces (Work) https://id.oclc.org/worldcat/entity/E39PCFJtdR3y9rW3mHCb98Hf7b https://id.oclc.org/worldcat/ontology/hasWork Print version: 069108078X 9780691080789 (DLC) 73106394 (OCoLC)213295 Princeton mathematical series ; 32. http://id.loc.gov/authorities/names/n42019693 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1232567 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1232567 Volltext |
| spellingShingle | Stein, Elias M. Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). Princeton mathematical series ; Frontmatter -- Preface -- Contents -- I. The Fourier Transform -- II. Boundary Values of Harmonic Functions -- III. The Theory of H -- IV. Symmetry Properties o f the Fourier Transform -- V. Interpolation of Operators -- VI. Singular Integrals and Systems of Conjugate Harmonic Functions -- VII. Multiple Fourier Series -- Bibliography -- Index Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Fourier analysis. http://id.loc.gov/authorities/subjects/sh85051088 Harmonic functions. http://id.loc.gov/authorities/subjects/sh85058943 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse harmonique. Analyse de Fourier. Fonctions harmoniques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fourier analysis fast Harmonic analysis fast Harmonic functions fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85058939 http://id.loc.gov/authorities/subjects/sh85051088 http://id.loc.gov/authorities/subjects/sh85058943 https://id.nlm.nih.gov/mesh/D005583 |
| title | Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| title_alt | Frontmatter -- Preface -- Contents -- I. The Fourier Transform -- II. Boundary Values of Harmonic Functions -- III. The Theory of H -- IV. Symmetry Properties o f the Fourier Transform -- V. Interpolation of Operators -- VI. Singular Integrals and Systems of Conjugate Harmonic Functions -- VII. Multiple Fourier Series -- Bibliography -- Index |
| title_auth | Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| title_exact_search | Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| title_full | Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| title_fullStr | Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| title_full_unstemmed | Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| title_short | Introduction to Fourier Analysis on Euclidean Spaces (PMS-32). |
| title_sort | introduction to fourier analysis on euclidean spaces pms 32 |
| topic | Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Fourier analysis. http://id.loc.gov/authorities/subjects/sh85051088 Harmonic functions. http://id.loc.gov/authorities/subjects/sh85058943 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse harmonique. Analyse de Fourier. Fonctions harmoniques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fourier analysis fast Harmonic analysis fast Harmonic functions fast |
| topic_facet | Harmonic analysis. Fourier analysis. Harmonic functions. Fourier Analysis Analyse harmonique. Analyse de Fourier. Fonctions harmoniques. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Fourier analysis Harmonic analysis Harmonic functions |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1232567 |
| work_keys_str_mv | AT steineliasm introductiontofourieranalysisoneuclideanspacespms32 |