The Second Order Asymptotics of a Class of Integral Operators with Discontinuous Symbols
Author : Shuxian Lou
Publisher :
Page : 212 pages
File Size : 33,79 MB
Release : 1992
Category : Integral operators
ISBN :
Second Order Asymptotics for the Discrete Analogue of a Class of Pseudodifferential Operators
Author : Bin Shao
Publisher :
Page : 210 pages
File Size : 24,74 MB
Release : 1994
Category : Operator equations
ISBN :
Book Description
Toeplitz Operators and Random Matrices
Author : Estelle Basor
Publisher : Springer Nature
Page : 606 pages
File Size : 21,61 MB
Release : 2023-01-01
Category : Mathematics
ISBN : 3031138511
Book Description
This volume is dedicated to the memory of Harold Widom (1932–2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time. It contains a biography of Harold Widom, personal notes written by his former students or colleagues, and also his last, previously unpublished paper on domain walls in a Heisenberg–Ising chain. Widom's most famous contributions were made to Toeplitz operators and random matrices. While his work on random matrices is part of almost all the present-day research activities in this field, his work in Toeplitz operators and matrices was done mainly before 2000 and is therefore described in a contribution devoted to his achievements in just this area. The volume contains 18 invited and refereed research and expository papers on Toeplitz operators and random matrices. These present new results or new perspectives on topics related to Widom's work.
Toeplitz Operators and Related Topics
Author : Estelle L. Basor
Publisher : Birkhäuser
Page : 208 pages
File Size : 43,62 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3034885431
Book Description
This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szegö-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.
Pseudo-Differential Operators with Discontinuous Symbols: Widom's Conjecture
Author : Aleksandr Vladimirovich Sobolev
Publisher : American Mathematical Soc.
Page : 116 pages
File Size : 30,70 MB
Release : 2013-02-26
Category : Mathematics
ISBN : 0821884875
Book Description
Relying on the known two-term quasiclassical asymptotic formula for the trace of the function $f(A)$ of a Wiener-Hopf type operator $A$ in dimension one, in 1982 H. Widom conjectured a multi-dimensional generalization of that formula for a pseudo-differential operator $A$ with a symbol $a(\mathbf{x}, \boldsymbol{\xi})$ having jump discontinuities in both variables. In 1990 he proved the conjecture for the special case when the jump in any of the two variables occurs on a hyperplane. The present paper provides a proof of Widom's Conjecture under the assumption that the symbol has jumps in both variables on arbitrary smooth bounded surfaces.
Dissertation Abstracts International
Author :
Publisher :
Page : 860 pages
File Size : 35,55 MB
Release : 1993
Category : Dissertations, Academic
ISBN :
Book Description
Essays in Mathematics and its Applications
Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 38,73 MB
Release : 2012-08-07
Category : Mathematics
ISBN : 3642288219
Book Description
The volume is dedicated to Stephen Smale on the occasion of his 80th birthday.Besides his startling 1960 result of the proof of the Poincar ́e conjecture for all dimensionsgreater than or equal to five, Smale’s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century andbeyond. Stephen Smale has done pioneering work in differential topology, globalanalysis, dynamical systems, nonlinear functional analysis, numerical analysis, theoryof computation and machine learning as well as applications in the physical andbiological sciences and economics. In sum, Stephen Smale has manifestly brokenthe barriers among the different fields of mathematics and dispelled some remainingprejudices. He is indeed a universal mathematician. Smale has been honoredwith several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolfPrize (2006/2007).
Reviews in Operator Theory, 1980-86
Author :
Publisher :
Page : 676 pages
File Size : 17,80 MB
Release : 1989
Category : Operator theory
ISBN :
Book Description
Advances in Harmonic Analysis and Operator Theory
Author : Alexandre Almeida
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 32,14 MB
Release : 2013-01-31
Category : Mathematics
ISBN : 3034805160
Book Description
This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.
Mathematical Reviews
Author :
Publisher :
Page : 1596 pages
File Size : 26,12 MB
Release : 2003
Category : Mathematics
ISBN :
