Harmonic analysis on the real line : a path in the theory
著者
書誌事項
Harmonic analysis on the real line : a path in the theory
(Pathways in mathematics)
Birkhäuser , Springer, c2021
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注記
Includes bibliographical references (p. 187-194) and index
内容説明・目次
内容説明
This book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic. Many of these results are also a necessary basis for multivariate extensions. An extensive bibliography, as well as hints to open problems are included. The book can be used as a skeleton for designing certain special courses, but it is also suitable for self-study.
目次
- Introduction. - Classes of Functions. - Fourier Series. - Fourier Transform. - Hilbert Transform. - Hardy Spaces and their Subspaces. - Hardy Inequalities. - Certain Applications.
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