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Classical Fourier Analysis / Grafakos, Loukas

Tác giả : Grafakos, Loukas

Nhà xuất bản : Springer

Năm xuất bản : 2009

Mô tả vật lý : 494p.

Số phân loại : 515.2433

Chủ đề : 1. Mathematics. 2. Statistics. 3. Book.

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Tóm tắt :

The 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.

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