Hangzhou lectures on eigenfunctions of the Laplacian:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton
Princeton University Press
2014
|
| Series: | Annals of mathematics studies
no. 188 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (x, 193 pages) |
| ISBN: | 0691160759 0691160783 1306375061 1400850541 9780691160757 9780691160788 9781306375061 9781400850549 |
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| 100 | 1 | |a Sogge, Christopher D., (Christopher Donald) |d 1960- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hangzhou lectures on eigenfunctions of the Laplacian |c Christopher D. Sogge |
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| 505 | 8 | |a Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on the geodesic flow. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Sogge begins with a treatment of the Hadamard parametrix before proving the first .. | |
| 505 | 8 | |a A review : the Laplacian and the d'Alembertian -- Geodesics and the Hadamard paramatrix -- The sharp Weyl formula -- Stationary phase and microlocal analysis -- Improved spectral asymptotics and periodic geodesics -- Classical and quantum ergodicity -- Appendix | |
| 650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / Partial |2 bisacsh | |
| 650 | 4 | |a Laplacian operator | |
| 650 | 4 | |a Eigenfunctions | |
| 650 | 0 | 7 | |a Laplace-Differentialgleichung |0 (DE-588)4228351-6 |2 gnd |9 rswk-swf |
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| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Sogge, Christopher D |t (Christopher Donald), 1960-. Hangzhou lectures on eigenfunctions of the Laplacian |
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Record in the Search Index
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| any_adam_object | |
| author | Sogge, Christopher D., (Christopher Donald) 1960- |
| author_facet | Sogge, Christopher D., (Christopher Donald) 1960- |
| author_role | aut |
| author_sort | Sogge, Christopher D., (Christopher Donald) 1960- |
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| bvnumber | BV043038789 |
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| contents | Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on the geodesic flow. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Sogge begins with a treatment of the Hadamard parametrix before proving the first .. A review : the Laplacian and the d'Alembertian -- Geodesics and the Hadamard paramatrix -- The sharp Weyl formula -- Stationary phase and microlocal analysis -- Improved spectral asymptotics and periodic geodesics -- Classical and quantum ergodicity -- Appendix |
| ctrlnum | (OCoLC)869281847 (DE-599)BVBBV043038789 |
| dewey-full | 515/.3533 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.3533 |
| dewey-search | 515/.3533 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043038789 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:42Z |
| institution | BVB |
| isbn | 0691160759 0691160783 1306375061 1400850541 9780691160757 9780691160788 9781306375061 9781400850549 |
| language | English |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 online resource (x, 193 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2014 |
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| publisher | Princeton University Press |
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| spelling | Sogge, Christopher D., (Christopher Donald) 1960- Verfasser aut Hangzhou lectures on eigenfunctions of the Laplacian Christopher D. Sogge Princeton Princeton University Press 2014 1 online resource (x, 193 pages) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies no. 188 Print version record Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on the geodesic flow. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Sogge begins with a treatment of the Hadamard parametrix before proving the first .. A review : the Laplacian and the d'Alembertian -- Geodesics and the Hadamard paramatrix -- The sharp Weyl formula -- Stationary phase and microlocal analysis -- Improved spectral asymptotics and periodic geodesics -- Classical and quantum ergodicity -- Appendix MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Differential Equations / Partial bisacsh Laplacian operator Eigenfunctions Laplace-Differentialgleichung (DE-588)4228351-6 gnd rswk-swf Eigenfunktion (DE-588)4151167-0 gnd rswk-swf Laplace-Differentialgleichung (DE-588)4228351-6 s 1\p DE-604 Eigenfunktion (DE-588)4151167-0 s 2\p DE-604 Erscheint auch als Druck-Ausgabe Sogge, Christopher D (Christopher Donald), 1960-. Hangzhou lectures on eigenfunctions of the Laplacian http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=663526 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sogge, Christopher D., (Christopher Donald) 1960- Hangzhou lectures on eigenfunctions of the Laplacian Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on the geodesic flow. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Sogge begins with a treatment of the Hadamard parametrix before proving the first .. A review : the Laplacian and the d'Alembertian -- Geodesics and the Hadamard paramatrix -- The sharp Weyl formula -- Stationary phase and microlocal analysis -- Improved spectral asymptotics and periodic geodesics -- Classical and quantum ergodicity -- Appendix MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Differential Equations / Partial bisacsh Laplacian operator Eigenfunctions Laplace-Differentialgleichung (DE-588)4228351-6 gnd Eigenfunktion (DE-588)4151167-0 gnd |
| subject_GND | (DE-588)4228351-6 (DE-588)4151167-0 |
| title | Hangzhou lectures on eigenfunctions of the Laplacian |
| title_auth | Hangzhou lectures on eigenfunctions of the Laplacian |
| title_exact_search | Hangzhou lectures on eigenfunctions of the Laplacian |
| title_full | Hangzhou lectures on eigenfunctions of the Laplacian Christopher D. Sogge |
| title_fullStr | Hangzhou lectures on eigenfunctions of the Laplacian Christopher D. Sogge |
| title_full_unstemmed | Hangzhou lectures on eigenfunctions of the Laplacian Christopher D. Sogge |
| title_short | Hangzhou lectures on eigenfunctions of the Laplacian |
| title_sort | hangzhou lectures on eigenfunctions of the laplacian |
| topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Differential Equations / Partial bisacsh Laplacian operator Eigenfunctions Laplace-Differentialgleichung (DE-588)4228351-6 gnd Eigenfunktion (DE-588)4151167-0 gnd |
| topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis MATHEMATICS / Differential Equations / Partial Laplacian operator Eigenfunctions Laplace-Differentialgleichung Eigenfunktion |
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