Multilinear Operator Integrals

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Multilinear Operator Integrals
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Author : Anna Skripka
language : en
Publisher: Springer Nature
Release Date : 2019-12-01
Multilinear Operator Integrals written by Anna Skripka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-01 with Mathematics categories.
This book provides a comprehensive treatment of multilinear operator integral techniques. The exposition is structured to be suitable for a course on methods and applications of multilinear operator integrals and also as a research aid. The ideas and contributions to the field are surveyed and up-to-date results and methods are presented. Most practical constructions of multiple operator integrals are included along with fundamental technical results and major applications to smoothness properties of operator functions (Lipschitz and Hölder continuity, differentiability), approximation of operator functions, spectral shift functions, spectral flow in the setting of noncommutative geometry, quantum differentiability, and differentiability of noncommutative L^p-norms. Main ideas are demonstrated in simpler cases, while more involved, technical proofs are outlined and supplemented with references. Selected open problems in the field are also presented.
Harmonic Analysis Partial Differential Equations And Applications
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Author : Sagun Chanillo
language : en
Publisher: Birkhäuser
Release Date : 2017-02-20
Harmonic Analysis Partial Differential Equations And Applications written by Sagun Chanillo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-20 with Mathematics categories.
This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L. Wheeden made profound contributions. The papers deal with Weighted Norm inequalities for classical operators like Singular integrals, fractional integrals and maximal functions that arise in Harmonic Analysis. Other papers deal with applications of Harmonic Analysis to Degenerate Elliptic equations, variational problems, Several Complex variables, Potential theory, free boundaries and boundary behavior of functions.
Harmonic Analysis And Operator Theory
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Author : Stefania A. M. Marcantognini
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Harmonic Analysis And Operator Theory written by Stefania A. M. Marcantognini 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 1995 with Mathematics categories.
The collection covers a broad spectrum of topics, including: wavelet analysis, Haenkel operators, multimeasure theory, the boundary behavior of the Bergman kernel, interpolation theory, and Cotlar's Lemma on almost orthogonality in the context of L[superscript p] spaces and more...
Morrey Spaces
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Author : Yoshihiro Sawano
language : en
Publisher: CRC Press
Release Date : 2020-09-16
Morrey Spaces written by Yoshihiro Sawano and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-16 with Mathematics categories.
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
Classical And Multilinear Harmonic Analysis
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Author : Camil Muscalu
language : en
Publisher: Cambridge University Press
Release Date : 2013-01-31
Classical And Multilinear Harmonic Analysis written by Camil Muscalu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-31 with Mathematics categories.
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Wavelets
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Author : Yves Meyer
language : en
Publisher: Cambridge University Press
Release Date : 1997
Wavelets written by Yves Meyer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
A classic exposition of the theory of wavelets from two of the subject's leading experts.
Absolutely Summing Operators
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Author : Joe Diestel
language : en
Publisher: Cambridge University Press
Release Date : 1995-04-27
Absolutely Summing Operators written by Joe Diestel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-27 with Mathematics categories.
This text provides the beginning graduate student with an account of p-summing and related operators.
Analysis Of Pseudo Differential Operators
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Author : Shahla Molahajloo
language : en
Publisher: Springer
Release Date : 2019-05-08
Analysis Of Pseudo Differential Operators written by Shahla Molahajloo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-08 with Mathematics categories.
This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators. The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rn to compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.
Nonlinear Integral Operators And Applications
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Author : Carlo Bardaro
language : en
Publisher: Walter de Gruyter
Release Date : 2003
Nonlinear Integral Operators And Applications written by Carlo Bardaro and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This volume presents a comprehensive treatment of approximation theory by means of nonlinear integral operator in function spaces. In particular, the fundamental notions of approximate identity for kernels of nonlinear operators and a general concept of modulus of continuity are developed.
The Hardy Space H1 With Non Doubling Measures And Their Applications
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Author : Dachun Yang
language : en
Publisher: Springer
Release Date : 2014-01-04
The Hardy Space H1 With Non Doubling Measures And Their Applications written by Dachun Yang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-04 with Mathematics categories.
The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems. The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.