Geometry of the Laplace operator / [electronic resource] [edited by Robert Osserman, Alan Weinstein].

By: AMS Symposium on the Geometry of the Laplace Operator (1979 : University of Hawaii at Manoa)Contributor(s): Osserman, Robert | Weinstein, Alan, 1943- | American Mathematical Society | Symposium in Pure Mathematics University of Hawaii, 1979Material type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 36Publication details: Providence, R.I. : American Mathematical Society, 1980Description: 1 online resource (vii, 323 p.)ISBN: 9780821893258 (online)Subject(s): Global analysis (Mathematics) -- Congresses | Manifolds (Mathematics) -- Congresses | Geometry, Differential -- Congresses | Laplacian operator -- CongressesAdditional physical formats: Geometry of the Laplace operator /DDC classification: 514/.74 LOC classification: QA614 | .A18 1979Online resources: Contents | Contents
Contents:
Riesz means of Riemannian manifolds / Pierre H. B�erard -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573426 Some geometric aspects of wave motion: wavefront dislocations, diffraction catastrophes, diffractals / M. V. Berry -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573427 On Cheeger's inequality $\lambda _{1}\geq h^{2}/4$ / Peter Buser -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573428 Lowest-eigenvalue inequalities / Isaac Chavel -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573429 On the Hodge theory of Riemannian pseudomanifolds / Jeff Cheeger -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573430 Liouville theorem for harmonic maps / Shiu Yuen Cheng -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573431 Some inverse spectral results for negatively curved $n$-manifolds / Victor Guillemin and David Kazhdan -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573432 On the spectrum of the Laplace operator on compact Riemann surfaces / Heinz Huber -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573433 Schubert varieties and Poincar�e duality / David Kazhdan and George Lusztig -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573434 Estimates of eigenvalues of a compact Riemannian manifold / Peter Li and Shing Tung Yau -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573435 The number of bound states of one-body Schroedinger operators and the Weyl problem / Elliott H. Lieb -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573436 Geometry in the scattering phase / A. Majda and J. Ralston -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573437 Weyl's conjecture for manifolds with concave boundary / R. B. Melrose -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573438 Extrinsic estimates for $\lambda _{1}$ / Robert C. Reilly -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573439 Geometric bounds on the low eigenvalues of a compact surface / R. Schoen, S. Wolpert and S. T. Yau -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573440 Combinatorial Hodge theory and signature theorem / Nicolae Teleman -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573441 Spectral distribution of Laplacians and Kato's inequality / D. A. Uhlenbrock -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573442 Nonlinear stabilization of quasimodes / Alan Weinstein -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573443 Asymptotics of compressions to spectral subspaces of the Laplacian / Harold Widom -- http://www.ams.org/pspum/036 http://dx.doi.org/10.1090/pspum/036/573444
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"Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at the University of Hawaii, Honolulu, Hawaii, March 27-30, 1979."

Includes bibliographies.

Riesz means of Riemannian manifolds / Pierre H. B�erard -- Some geometric aspects of wave motion: wavefront dislocations, diffraction catastrophes, diffractals / M. V. Berry -- On Cheeger's inequality $\lambda _{1}\geq h^{2}/4$ / Peter Buser -- Lowest-eigenvalue inequalities / Isaac Chavel -- On the Hodge theory of Riemannian pseudomanifolds / Jeff Cheeger -- Liouville theorem for harmonic maps / Shiu Yuen Cheng -- Some inverse spectral results for negatively curved $n$-manifolds / Victor Guillemin and David Kazhdan -- On the spectrum of the Laplace operator on compact Riemann surfaces / Heinz Huber -- Schubert varieties and Poincar�e duality / David Kazhdan and George Lusztig -- Estimates of eigenvalues of a compact Riemannian manifold / Peter Li and Shing Tung Yau -- The number of bound states of one-body Schroedinger operators and the Weyl problem / Elliott H. Lieb -- Geometry in the scattering phase / A. Majda and J. Ralston -- Weyl's conjecture for manifolds with concave boundary / R. B. Melrose -- Extrinsic estimates for $\lambda _{1}$ / Robert C. Reilly -- Geometric bounds on the low eigenvalues of a compact surface / R. Schoen, S. Wolpert and S. T. Yau -- Combinatorial Hodge theory and signature theorem / Nicolae Teleman -- Spectral distribution of Laplacians and Kato's inequality / D. A. Uhlenbrock -- Nonlinear stabilization of quasimodes / Alan Weinstein -- Asymptotics of compressions to spectral subspaces of the Laplacian / Harold Widom --

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573426

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573427

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573428

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573429

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573430

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573431

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573432

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573433

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573434

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573435

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573436

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573437

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573438

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573439

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573440

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573441

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573442

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573443

http://www.ams.org/pspum/036

http://dx.doi.org/10.1090/pspum/036/573444

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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