PSEUDO DIFF OPERATOR & MARKOV PROC..(V1)

Fourier Analysis And Semigroups

By: JACOB N

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Hardcover | 29 November 2001

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Hardcover
518 Pages

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22.86 x 15.24 x 2.87

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After recalling essentials of analysis — including functional analysis, convexity, distribution theory and interpolation theory — this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups. In addition, Dirichlet forms are treated. The book is self-contained and offers new material originated by the author and his students.

Industry Reviews

"The book is carefully written and each chapter is concluded with interesting historical, contemporary, and bibliographical comments with indications for further reading." Mathematical Reviews, 2003

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Preface
Notation
Introduction: Pseudo Differential Operators and Markov Processes
Fourier Analysis and Semigroups	p. 1
Introduction	p. 3
Essentials from Analysis	p. 11
Calculus Results	p. 11
Some Topology	p. 20
Measure Theory and Integration	p. 23
Convexity	p. 37
Analytic Functions	p. 40
Functions and Distributions	p. 43
Some Functional Analysis	p. 52
Some Interpolation Theory	p. 69
Fourier Analysis and Convolution Semigroups	p. 75
The Fourier Transform in S(R[superscript n])	p. 75
The Fourier Transform in L[superscript p](R[superscript n]), 1 [is less than or equal to] p [is less than or equal to] 2	p. 83
The Fourier Transform in S[superscript l](R[superscript n])	p. 92
The Paley - Wiener - Schwartz Theorem	p. 98
Bounded Borel Measures and Positive Definite Functions	p. 103
Convolution Semigroups and Negative Definite Functions	p. 120
The Levy - Khinchin Formula for Continuous Negative Definite Functions	p. 138
Laplace and Stieltjes Transform, and Completely Monotone Functions	p. 155
Bernstein Functions and Subordination of Convolution Semigroups	p. 172
Some Function Spaces related to Continuous Negative Definite Functions	p. 207
Besov Spaces and Triebel - Lizorkin Spaces	p. 222
Fourier Multiplier Theorems	p. 233
One Parameter Semigroups	p. 247
Strongly Continuous Operator Semigroups	p. 247
Analytic Semigroups	p. 282
Subordination in the Sense of Bochner for Operator Semigroups	p. 295
Perturbations and Approximations	p. 319
Generators of Feller Semigroups	p. 332
Sub-Markovian Semigroups and their Generators	p. 364
Dirichlet Forms and Generators of Sub-Markovian Semigroups	p. 383
Extending Feller Semigroups, Resolvents and their Generators	p. 422
Bibliography	p. 451
Author Index	p. 479
Subject Index	p. 483
Table of Contents provided by Blackwell. All Rights Reserved.

PSEUDO DIFF OPERATOR & MARKOV PROC..(V1)

Fourier Analysis And Semigroups

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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