Zelditch, Steven 1953
Overview
Works:  6 works in 29 publications in 1 language and 518 library holdings 

Roles:  Author, Contributor 
Publication Timeline
.
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
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 rescaling to a unit ball, the eigenfunctions resemble almostharmonic 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 interrelated themes and results and offers an uptodate comprehensive treatment of this important active area of research"Back cover
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 rescaling to a unit ball, the eigenfunctions resemble almostharmonic 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 interrelated themes and results and offers an uptodate 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 nonlinear PDEs in geometry; by János Kollár, concerning links of complex analytic singularities; by Claude LeBrun, on Calabi energies of extremal toric surfaces; by MuTao Wang, concerning mean curvature flows and isotopy problems; and by Steve Zelditch, on eigenfunctions and nodal sets
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 nonlinear PDEs in geometry; by János Kollár, concerning links of complex analytic singularities; by Claude LeBrun, on Calabi energies of extremal toric surfaces; by MuTao 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
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
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
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 National Science Foundation (U.S.)
 American Mathematical Society
 Brendle, Simon 1981 Contributor
 LeBrun, Claude 1956 Contributor
 Harvey, F. Reese Contributor
 Vafa, Cumrun Contributor
 Yau, ShingTung 1949 Editor
 Kollár, János Contributor
 Cao, HuaiDong Editor
 Cecottie, Sergio Contributor
Useful Links
Alternative Names
Steven Zelditch American mathematician
Steven Zelditch Amerikaans wiskundige
Steven Zelditch USamerikanischer Mathematiker
Zelditch, Steve.
Zelditch, Steve 1953
Languages