The Second Order Asymptotics Of A Class Of Integral Operators With Discontinuous Symbols

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The Second Order Asymptotics Of A Class Of Integral Operators With Discontinuous Symbols

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Author : Shuxian Lou
language : en
Publisher:
Release Date : 1992

The Second Order Asymptotics Of A Class Of Integral Operators With Discontinuous Symbols written by Shuxian Lou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Integral operators categories.

Toeplitz Operators And Random Matrices

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Author : Estelle Basor
language : en
Publisher: Springer Nature
Release Date : 2023-01-01

Toeplitz Operators And Random Matrices written by Estelle Basor and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.

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a biography of Harold Widom, personal notes written by his former students or colleagues, and also his last, previously unpublished paper on domain walls in a Heisenberg–Ising chain.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.

Second Order Asymptotics For The Discrete Analogue Of A Class Of Pseudodifferential Operators

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Author : Bin Shao
language : en
Publisher:
Release Date : 1994

Second Order Asymptotics For The Discrete Analogue Of A Class Of Pseudodifferential Operators written by Bin Shao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Operator equations categories.

Toeplitz Operators And Related Topics

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Author : Estelle L. Basor
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Toeplitz Operators And Related Topics written by Estelle L. Basor and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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

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Author : Aleksandr Vladimirovich Sobolev
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-02-26

Pseudo Differential Operators With Discontinuous Symbols Widom S Conjecture written by Aleksandr Vladimirovich Sobolev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-26 with Mathematics categories.

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

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Author :
language : en
Publisher:
Release Date : 1993

Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Dissertations, Academic categories.

Essays In Mathematics And Its Applications

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Author : Panos M. Pardalos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-07

Essays In Mathematics And Its Applications written by Panos M. Pardalos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-07 with Mathematics categories.

​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).

Advances In Harmonic Analysis And Operator Theory

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Author : Alexandre Almeida
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-31

Advances In Harmonic Analysis And Operator Theory written by Alexandre Almeida and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-31 with Mathematics categories.

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.

Reviews In Operator Theory 1980 86

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Author :
language : en
Publisher:
Release Date : 1989

Reviews In Operator Theory 1980 86 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Operator theory categories.

Toeplitz Centennial

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Author : Israel Gohberg
language : en
Publisher:
Release Date : 1982

Toeplitz Centennial written by Israel Gohberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Operator theory categories.