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

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biography of Harold Widom, personal notes written by his former students or colleagues, and also his last, previously unpublished paper on domain walls in a Heisenberg–Ising chain.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

Pseudo Differential Operators On Manifolds With Singularities

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Author : B.-W. Schulze
language : en
Publisher: Elsevier
Release Date : 1991-10-17

Pseudo Differential Operators On Manifolds With Singularities written by B.-W. Schulze and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-17 with Mathematics categories.

The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics.The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.

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.

Partial Differential Equations

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Author : Günter Lumer
language : en
Publisher: De Gruyter Akademie Forschung
Release Date : 1994

Partial Differential Equations written by Günter Lumer and has been published by De Gruyter Akademie Forschung this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This volume contains the contributions of the conference "Partial Differential Equations" in Han-sur-Lesse, Belgium, December 1993. The originally intended Belgian-French meeting developed into a truely international conference, including specialists from Argentina, Germany, Puerto Rico, Russia, Spain, and the USA. The authors was to discuss a variety of important questions in applied sciences, engineering and mathematical physics which lead to deep structures and new challenges to the analysis of partial differential equations. The articles show the complexity of phenomena for a broader readership in non-linear analysis, free boundary value problems, effects from singularities, asymptotics, and stability of solutions.

Asymptotics For Elliptic Mixed Boundary Problems

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Author : Stephan Rempel
language : en
Publisher:
Release Date : 1989

Asymptotics For Elliptic Mixed Boundary Problems written by Stephan Rempel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Boundary value problems categories.

Encyclopaedia Of Mathematics Supplement Iii

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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-23

Encyclopaedia Of Mathematics Supplement Iii written by Michiel Hazewinkel 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 2007-11-23 with Mathematics categories.

This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

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.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2003

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Elliptic Operators Topology And Asymptotic Methods

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Author : John Roe
language : en
Publisher: Longman Scientific and Technical
Release Date : 1988

Elliptic Operators Topology And Asymptotic Methods written by John Roe and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.