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Fourier Series

A Modern Introduction Volume 2

  • Textbook
  • © 1982

Overview

Authors:
  1. R. E. Edwards

    1. Department of Mathematics (Institute for Advanced Studies), The Australian National University, Canberra, Australia

Part of the book series: Graduate Texts in Mathematics (GTM, volume 85)

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About this book

appear in Volume 1, a Roman numeral "I" has been prefixed as a reminder to the reader; thus, for example, "I,B.2.1 " refers to Appendix B.2.1 in Volume 1. An understanding of the main topics discussed in this book does not, I hope, hinge upon repeated consultation of the items listed in the bibli­ ography. Readers with a limited aim should find strictly necessary only an occasional reference to a few of the book listed. The remaining items, and especially the numerous research papers mentioned, are listed as an aid to those readers who wish to pursue the subject beyond the limits reached in this book; such readers must be prepared to make the very considerable effort called for in making an acquaintance with current research literature. A few of the research papers listed cover devel­ opments that came to my notice too late for mention in the main text. For this reason, any attempted summary in the main text of the current standing of a research problem should be supplemented by an examin­ ation of the bibliography and by scrutiny of the usual review literature.

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Spans of Translates. Closed Ideals. Closed Subalgebras. Banach Algebras

    • R. E. Edwards
    Pages 1-47

  3. Distributions and Measures

    • R. E. Edwards
    Pages 48-139

  4. Interpolation Theorems

    • R. E. Edwards
    Pages 140-204

  5. Changing Signs of Fourier Coefficients

    • R. E. Edwards
    Pages 205-233

  6. Lacunary Fourier Series

    • R. E. Edwards
    Pages 234-276

  7. Multipliers

    • R. E. Edwards
    Pages 277-332

  8. Back Matter

    Pages 333-372
    Download chapter PDF
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Authors and Affiliations

  • Department of Mathematics (Institute for Advanced Studies), The Australian National University, Canberra, Australia

    R. E. Edwards

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Bibliographic Information

  • Book Title: Fourier Series

  • Book Subtitle: A Modern Introduction Volume 2

  • Authors: R. E. Edwards

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-8156-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag, New York, Inc. 1982

  • Softcover ISBN: 978-1-4613-8158-7Published: 18 October 2011

  • eBook ISBN: 978-1-4613-8156-3Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: 369

  • Additional Information: Originally published by Holt, Rinehart and Winston

  • Topics: Topological Groups, Lie Groups

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