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Gaussian Harmonic Analysis Wilfredo Urbina-Romero

Gaussian Harmonic Analysis By Wilfredo Urbina-Romero

Gaussian Harmonic Analysis by Wilfredo Urbina-Romero


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Condition - Very Good
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Summary

Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entree at the intersection of two important fields of research: harmonic analysis and probability.

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Gaussian Harmonic Analysis Summary

Gaussian Harmonic Analysis by Wilfredo Urbina-Romero

Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entree 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 Calderon-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.


Gaussian Harmonic Analysis Reviews

This book is the first comprehensive account of Gaussian harmonic analysis, and as such is a most welcome addition to the literature suitable for experts in the field and advanced graduate students who want to learn the subject. (Jan van Neerven, Mathematical Reviews, September, 2020)
This well-written and organized (mainly self-contained) book is a reader-friendly manual in the field of Gaussian harmonic analysis. It can be recommended for experts and for graduate, postgraduate and doctoral students. (Michael Perelmuter, zbMATH 1421.42001, 2019)

Table of Contents

Chapter 1- Preliminary Results.- Chapter 2- The Ornstein-Uhlenbeck Operator and the Ornstein-Uhlenbeck Semigroup.- Chapter 3- The Poisson-Hermite Semigroup.- Chapter 4- Covering Lemmas, Gaussian Maximal Functions, and Calderon-Zygmund Operators.- Chapter 5- Littlewood-Paley-Stein Theory with respect to d.- Chapter 6- Spectral Multiplier Operators with respect to d.- Chapter 7- Function Spaces with respect to d.- Chapter 8- Gaussian Fractional Integrals and Fractional Derivatives.- Chapter 9- Singular Integrals with respect to d.- Appendix.- References.- Index.


Additional information

CIN3030055965VG
9783030055967
3030055965
Gaussian Harmonic Analysis by Wilfredo Urbina-Romero
Used - Very Good
Hardback
Springer Nature Switzerland AG
20190704
477
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - Gaussian Harmonic Analysis