WorldCat Identities

Zelditch, Steven 1953-

Overview
Works: 9 works in 34 publications in 1 language and 710 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Contributor
Classifications: QA3, 516.362
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 277 WorldCat member libraries worldwide

This memoir extends the author's earlier work and gives a generalization of the Selberg trace formula and applications to generalizations of the eigenvalue counting problem and the prime geodesic theorem. As a consequence of these results, he obtains both a proof of the equidistribution theorem for closed geodesics and sharp error estimates. His previous work derived the relevant trace formulae in the compact quotient case, and this paper is concerned largely with the additional complications that occur in the noncompact case, both in terms of deriving the relevant formulae and in estimating various terms
Eigenfunctions of the Laplacian on a Riemannian manifold by Steven Zelditch( Book )

10 editions published between 2017 and 2018 in English and held by 185 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
Algebraic and analytic microlocal analysis : AAMA, Evanston, Illinois, USA, 2012 And 2013( )

3 editions published in 2018 in English and held by 145 WorldCat member libraries worldwide

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 60 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 25 WorldCat member libraries worldwide

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

1 edition published in 1992 in English and held by 14 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

Memoirs of the American Mathematical Society( Book )

1 edition published in 1992 in English and held by 1 WorldCat member library 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: 0.66 (from 0.50 for Algebraic ... to 0.98 for Selberg tr ...)

Alternative Names
Steven Zelditch American mathematician

Steven Zelditch Amerikaans wiskundige

Steven Zelditch matemàtic estatunidenc

Steven Zelditch matemático estadounidense

Steven Zelditch US-amerikanischer Mathematiker

Zelditch, S.

Zelditch, Steve.

Zelditch, Steve 1953-

Languages
English (34)