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Classical Fourier Analysis: Second Edition by Loukas Grafakos (auth.) is a nonfiction available to read on EtoBox.

What is Classical Fourier Analysis: Second Edition about?

Main subject categories: • Fourier Analysis • Harmonic Analysis • AnalysisMathematics Subject Classification (2010): • 42Axx Harmonic analysis in one variable • 42Bxx Harmonic analysis in several variablesThe primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables.While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a resu

Who reads Classical Fourier Analysis: Second Edition?

It is typically read by self-directed learners exploring a subject in depth.

Common subject areas: history, science, philosophy, social sciences.

Author
Loukas Grafakos (auth.)
Publisher
Springer, Springer Science+Business Media
Published
2008
Language
EN
ISBN
9780078772627
Category
nonfiction
Subjects
Mathematics, Economics, Science

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