Introduction to harmonic analysis and generalized Gelfand pairs

著者

• Dijk, Gerrit van

書誌事項

Introduction to harmonic analysis and generalized Gelfand pairs

Gerrit van Dijk

（De Gruyter studies in mathematics, 36）

Walter de Gruyter, c2009

注記

Includes bibliography and index

内容説明・目次

内容説明

This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space. From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB00313798
• ISBN:
  • 9783110220193
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin ; New York
• ページ数/冊数: ix, 223 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BA00079423