Authors:
- Provides an introduction to a particular direction in modern harmonic analysis
- Self-contained text on analysis of integral operators
- Presents both fundamentals and applications of harmonic analysis, especially to important concepts about the Heisenberg group
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (11 chapters)
-
Front Matter
-
Back Matter
About this book
Reviews
From the reviews:
“This is an ambitious introduction to a particular direction in modern harmonic analysis. It presents harmonic analysis in vitro – in a context in which it is actually applied complex variables and partial differential equations. This will make the learning experience more meaningful for graduate students who are just beginning to forge a path of research.” (Vasily A. Chernecky, Zentralblatt MATH, Vol. 1171, 2009)
“Writing a 350 page account on harmonic analysis … is no easy task and making the presentation suitable for graduate students even less so. … it is indeed the purpose of the book under review … . Krantz has done an admirable job in condensing the ideas of Stein’s tract into a highly readily text suitable for a wide variety of readers. … It is done with such an enthusiasm … that even seasoned mathematicians should be able to enjoy the book.” (Troels Roussau Johansen, Mathematical Reviews, Issue 2011 a)
“The text is very well organized: each chapter begins with an introductory Prologue, each section with a Capsule giving a quick preview of the material, and each key theorem is preceded by a Prelude providing motivation and putting the result in an adequate context. … The book will be useful for advanced courses on harmonic analysis, singular integrals, as well as reference text for researchers in various domains of analysis, both pure and applied.” (Gabriela Kohr, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010)
Authors and Affiliations
-
Dept. Mathematics, Washington University, St.Louis, USA
Steven G. Krantz
Bibliographic Information
Book Title: Explorations in Harmonic Analysis
Book Subtitle: With Applications to Complex Function Theory and the Heisenberg Group
Authors: Steven G. Krantz
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-4669-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2009
Hardcover ISBN: 978-0-8176-4668-4
eBook ISBN: 978-0-8176-4669-1
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XIV, 362
Topics: Abstract Harmonic Analysis, Fourier Analysis, Mathematical Modeling and Industrial Mathematics, Approximations and Expansions, Several Complex Variables and Analytic Spaces, Group Theory and Generalizations