The Functional Calculus For Sectorial Operators

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The Functional Calculus For Sectorial Operators

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Author : Markus Haase
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-18

The Functional Calculus For Sectorial Operators written by Markus Haase 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 2006-08-18 with Mathematics categories.

This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.

The Functional Calculus For Sectorial Operators

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Author : Markus Haase
language : en
Publisher: Birkhäuser
Release Date : 2009-09-03

The Functional Calculus For Sectorial Operators written by Markus Haase and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-03 with Mathematics categories.

This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.

The Functional Calculus For Sectorial Operators And Similarity Methods

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Author : Markus Haase
language : en
Publisher:
Release Date : 2003

The Functional Calculus For Sectorial Operators And Similarity Methods written by Markus Haase and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.

A Note On The Functional Calculus For Sectorial Operators

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Author : Marcus Franciscus Uiterdijk
language : en
Publisher:
Release Date : 1996

A Note On The Functional Calculus For Sectorial Operators written by Marcus Franciscus Uiterdijk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

The Absolute Functional Calculus For Sectorial Operators

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Author : Tamara Kucherenko
language : en
Publisher:
Release Date : 2005

The Absolute Functional Calculus For Sectorial Operators written by Tamara Kucherenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Calculus categories.

We introduce the absolute functional calculus for sectorial operators. This notion is stronger than the common holomorphic functional calculus. We are able to improve a key theorem related to the maximal regularity problem and hence demonstrate the power and usefulness of our new concept. In trying to characterize spaces where sectorial operators have absolute calculus, we find that certain real interpolation spaces play a central role. We are then extending various known results in this setting. The idea of unifying theorems about sectorial operators on real interpolation spaces permeates our work and opens paths for future research on this subject.

Partial Differential Equations And Functional Analysis

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Author : Erik Koelink
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-18

Partial Differential Equations And Functional Analysis written by Erik Koelink 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 2006-08-18 with Mathematics categories.

Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clément. It will be of interest to researchers in PDEs and functional analysis.

Gaussian Harmonic Analysis

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Author : Wilfredo Urbina-Romero
language : en
Publisher: Springer
Release Date : 2019-06-21

Gaussian Harmonic Analysis written by Wilfredo Urbina-Romero and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-21 with Mathematics categories.

Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory; also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books; also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful.

Functional Analytic Methods For Evolution Equations

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Author : Giuseppe Da Prato
language : en
Publisher: Springer
Release Date : 2004-08-30

Functional Analytic Methods For Evolution Equations written by Giuseppe Da Prato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-30 with Mathematics categories.

This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.

Applied Functional Analysis And Partial Differential Equations

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Author : Milan Miklavčič
language : en
Publisher: Allied Publishers
Release Date : 1998

Applied Functional Analysis And Partial Differential Equations written by Milan Miklavčič and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

Quaternionic Closed Operators Fractional Powers And Fractional Diffusion Processes

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Author : Fabrizio Colombo
language : en
Publisher: Springer
Release Date : 2019-07-10

Quaternionic Closed Operators Fractional Powers And Fractional Diffusion Processes written by Fabrizio Colombo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-10 with Mathematics categories.

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields. This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and Applications, Vol. 270).