Groups and analysis: the legacy of Hermann Weyl
Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, le...
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| Format: | Electronic eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2008
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| Series: | London Mathematical Society lecture note series
354 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, 326 pages) |
| ISBN: | 9780511721410 |
| DOI: | 10.1017/CBO9780511721410 |
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| 505 | 8 | |a Harmonic analysis on compact symmetric spaces / Roe Goodman -- Weyl, eigenfunction expansions, symmetric spaces / Erik van den Ban -- Weyl's work on singular Sturm-Liouville operators / W.N. Everitt and H. Kalf -- From Weyl quantization to modern algebraic index theory / Markus J. Pflaum -- Sharp spectral inequalities for the Heisenberg Laplacian / A.M. Hansson and A. Laptev -- Equidistribution for quadratic differentials / Ursula Hamenstädt -- Weyl's law in the theory of automorphic forms / Werner Müller -- Weyl's Lemma, one of many / Daniel W. Stroock -- Analysis on foliated spaces and arithmetic geometry / Christopher Deninger -- Reciprocity algebras and branching / R.E. Howe, E.-C. Tan, and J.F. Willenbring -- Character formulae from Hermann Weyl tothe present / Jens Carsten Jantzen -- The classification of affine buildings / Richard M. Weiss -- Emmy Noether and Hermann Weyl / Peter Roquette | |
| 520 | |a Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work | ||
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| contents | Harmonic analysis on compact symmetric spaces / Roe Goodman -- Weyl, eigenfunction expansions, symmetric spaces / Erik van den Ban -- Weyl's work on singular Sturm-Liouville operators / W.N. Everitt and H. Kalf -- From Weyl quantization to modern algebraic index theory / Markus J. Pflaum -- Sharp spectral inequalities for the Heisenberg Laplacian / A.M. Hansson and A. Laptev -- Equidistribution for quadratic differentials / Ursula Hamenstädt -- Weyl's law in the theory of automorphic forms / Werner Müller -- Weyl's Lemma, one of many / Daniel W. Stroock -- Analysis on foliated spaces and arithmetic geometry / Christopher Deninger -- Reciprocity algebras and branching / R.E. Howe, E.-C. Tan, and J.F. Willenbring -- Character formulae from Hermann Weyl tothe present / Jens Carsten Jantzen -- The classification of affine buildings / Richard M. Weiss -- Emmy Noether and Hermann Weyl / Peter Roquette |
| ctrlnum | (ZDB-20-CBO)CR9780511721410 (OCoLC)847017831 (DE-599)BVBBV043946022 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512.2 |
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| discipline | Mathematik |
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| spelling | Hermann Weyl Conference <2006, Bielefeld, Germany> Verfasser aut Groups and analysis the legacy of Hermann Weyl edited by Katrin Tent Groups & Analysis Cambridge Cambridge University Press 2008 1 online resource (x, 326 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 354 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Harmonic analysis on compact symmetric spaces / Roe Goodman -- Weyl, eigenfunction expansions, symmetric spaces / Erik van den Ban -- Weyl's work on singular Sturm-Liouville operators / W.N. Everitt and H. Kalf -- From Weyl quantization to modern algebraic index theory / Markus J. Pflaum -- Sharp spectral inequalities for the Heisenberg Laplacian / A.M. Hansson and A. Laptev -- Equidistribution for quadratic differentials / Ursula Hamenstädt -- Weyl's law in the theory of automorphic forms / Werner Müller -- Weyl's Lemma, one of many / Daniel W. Stroock -- Analysis on foliated spaces and arithmetic geometry / Christopher Deninger -- Reciprocity algebras and branching / R.E. Howe, E.-C. Tan, and J.F. Willenbring -- Character formulae from Hermann Weyl tothe present / Jens Carsten Jantzen -- The classification of affine buildings / Richard M. Weiss -- Emmy Noether and Hermann Weyl / Peter Roquette Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work Weyl, Hermann / 1885-1955 / Congresses Weyl, Hermann 1885-1955 (DE-588)118816624 gnd rswk-swf Group theory / Congresses Numerical analysis / Congresses Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Weyl, Hermann 1885-1955 (DE-588)118816624 p Gruppentheorie (DE-588)4072157-7 s Analysis (DE-588)4001865-9 s 1\p DE-604 Tent, Katrin 1963- edt Erscheint auch als Druckausgabe 978-0-521-71788-5 https://doi.org/10.1017/CBO9780511721410 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Groups and analysis the legacy of Hermann Weyl Harmonic analysis on compact symmetric spaces / Roe Goodman -- Weyl, eigenfunction expansions, symmetric spaces / Erik van den Ban -- Weyl's work on singular Sturm-Liouville operators / W.N. Everitt and H. Kalf -- From Weyl quantization to modern algebraic index theory / Markus J. Pflaum -- Sharp spectral inequalities for the Heisenberg Laplacian / A.M. Hansson and A. Laptev -- Equidistribution for quadratic differentials / Ursula Hamenstädt -- Weyl's law in the theory of automorphic forms / Werner Müller -- Weyl's Lemma, one of many / Daniel W. Stroock -- Analysis on foliated spaces and arithmetic geometry / Christopher Deninger -- Reciprocity algebras and branching / R.E. Howe, E.-C. Tan, and J.F. Willenbring -- Character formulae from Hermann Weyl tothe present / Jens Carsten Jantzen -- The classification of affine buildings / Richard M. Weiss -- Emmy Noether and Hermann Weyl / Peter Roquette Weyl, Hermann / 1885-1955 / Congresses Weyl, Hermann 1885-1955 (DE-588)118816624 gnd Group theory / Congresses Numerical analysis / Congresses Gruppentheorie (DE-588)4072157-7 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)118816624 (DE-588)4072157-7 (DE-588)4001865-9 (DE-588)1071861417 |
| title | Groups and analysis the legacy of Hermann Weyl |
| title_alt | Groups & Analysis |
| title_auth | Groups and analysis the legacy of Hermann Weyl |
| title_exact_search | Groups and analysis the legacy of Hermann Weyl |
| title_full | Groups and analysis the legacy of Hermann Weyl edited by Katrin Tent |
| title_fullStr | Groups and analysis the legacy of Hermann Weyl edited by Katrin Tent |
| title_full_unstemmed | Groups and analysis the legacy of Hermann Weyl edited by Katrin Tent |
| title_short | Groups and analysis |
| title_sort | groups and analysis the legacy of hermann weyl |
| title_sub | the legacy of Hermann Weyl |
| topic | Weyl, Hermann / 1885-1955 / Congresses Weyl, Hermann 1885-1955 (DE-588)118816624 gnd Group theory / Congresses Numerical analysis / Congresses Gruppentheorie (DE-588)4072157-7 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Weyl, Hermann / 1885-1955 / Congresses Weyl, Hermann 1885-1955 Group theory / Congresses Numerical analysis / Congresses Gruppentheorie Analysis Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511721410 |
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