A Panorama of Harmonic Analysis (Carus Mathematical Monographs, Series Number 27) by Steven Krantz (PDF)

Description

Tracing a path from the earliest beginnings of Fourier series through to the latest research A Panorama of Harmonic Analysis discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax is a consideration of ideas from the point of view of spaces of homogeneous type, which culminates in a discussion of wavelets. This book is intended for graduate students and advanced undergraduates, and mathematicians of whatever background who want a clear and concise overview of the subject of commutative harmonic analysis.

User’s Reviews

Editorial Reviews: Review Steven Krantz has written a remarkable book that leads the reader on a tour of Euclidean harmonic analysis from its genesis to the frontiers of recent research. It can be warmly recommended to professionals, graduate students, and adventurous undergraduates who want to know what this beautiful subject is about. — Gerald Folland, University of Washington, Seattle Book Description A clear and concise overview of the subject of commutative harmonic analysis. Book Description This book is intended for graduate students and advanced undergraduates, and mathematicians of whatever background who want a clear and concise overview of the subject of commutative harmonic analysis. About the Author Steven G. Krantz, currently Professor at Washington University in St. Louis, earned his PhD at Princeton University and has taught at UCLA, Princeton University, and Pennsylvania State University. He is the recipient of the UCLA Alumni Foundation Distinguished Teaching Award, the MAA’s Chauvenet Prize, the MAA Beckenbach Book Awards, the Kemper Award, and the Outstanding Academic Book Award of the Current Review of Academic Libraries. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐S. Krantz is a good writer, as the title indicates and the stated purpose of the Carus series, the book offers a reasonable overview that helps tne non specialist to know what he is getting into. I should mention that the older book of the sister series at MAA, “studies in H.A.” Covers some of the topics not addressed in this one. There are many more topics that are not addressed unfortunately!

⭐Outside of regurgitating timeworn examplesthe author does not appear to have any directionfor the text. Save your money.

⭐This book is not a textbook on harmonic analysis; it is an essay on how this important discipline has evolved and what are its main results and applications.I find this book to be an excellent companion text because it includes a lot of subtle explanations that the usual textbooks lack. It is suitable also for non-mathematicians willing to get a fast introductory survey of the theory.Its contents are: Overview of Measure Theory and Functional Analysis; Fourier Series Basics; The Fourier Transform; Multiple Fourier Series; Spherical Harmonics; Fractional Integrals, Singular Integrals, and Hardy Spaces; Modern Theories of Integral Operators; Wavelets; A Retrospective; 9 appendices.Full of interesting comments and historical anecdotes. Extensive Bibliography.Please take a look at the rest of my reviews.

Keywords

Free Download A Panorama of Harmonic Analysis (Carus Mathematical Monographs, Series Number 27) in PDF format
A Panorama of Harmonic Analysis (Carus Mathematical Monographs, Series Number 27) PDF Free Download
Download A Panorama of Harmonic Analysis (Carus Mathematical Monographs, Series Number 27) 1999 PDF Free
A Panorama of Harmonic Analysis (Carus Mathematical Monographs, Series Number 27) 1999 PDF Free Download
Download A Panorama of Harmonic Analysis (Carus Mathematical Monographs, Series Number 27) PDF
Free Download Ebook A Panorama of Harmonic Analysis (Carus Mathematical Monographs, Series Number 27)