WorldCat Identities

Zelditch, Steven 1953-

Overview
Works: 6 works in 29 publications in 1 language and 518 library holdings
Roles: Author, Contributor
Publication Timeline
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Most widely held works by Steven Zelditch
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces by Steven Zelditch( Book )

14 editions published in 1992 in English and held by 284 WorldCat member libraries worldwide

Eigenfunctions of the Laplacian on a Riemannian manifold by Steven Zelditch( Book )

10 editions published between 2017 and 2018 in English and held by 169 WorldCat member libraries worldwide

"Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After re-scaling to a unit ball, the eigenfunctions resemble almost-harmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain. The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys inter-related themes and results and offers an up-to-date comprehensive treatment of this important active area of research"--Back cover
Geometry and topology : lectures given at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012( Book )

1 edition published in 2013 in English and held by 59 WorldCat member libraries worldwide

This volume includes papers presented by several speakers at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012. Included are works by Simon Brendle, on the Lagrangian minimal surface equation and related problems; by Sergio Cecotti and Cumrun Vafa, concerning classification of complete N=2 supersymmetric theories in four dimensions; by F. Reese Harvey and H. Blaine Lawson Jr., on existence, uniqueness, and removable singularities for non-linear PDEs in geometry; by János Kollár, concerning links of complex analytic singularities; by Claude LeBrun, on Calabi energies of extremal toric surfaces; by Mu-Tao Wang, concerning mean curvature flows and isotopy problems; and by Steve Zelditch, on eigenfunctions and nodal sets
Algebraic and Analytic Microlocal Analysis AAMA, Evanston, Illinois, USA, 2012 And 2013( )

1 edition published in 2018 in English and held by 3 WorldCat member libraries worldwide

Determinants of Laplacians in exterior domains by Andrew Hassell( Book )

2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide

Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfuntions: finite area surfaces by Steven Zelditch( Book )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.68 (from 0.66 for Eigenfunct ... to 0.98 for Selberg tr ...)

Alternative Names
Steven Zelditch American mathematician

Steven Zelditch Amerikaans wiskundige

Steven Zelditch US-amerikanischer Mathematiker

Zelditch, Steve.

Zelditch, Steve 1953-

Languages
English (29)