Convolution operators on groups

著者

• Derighetti, Antoine

書誌事項

Convolution operators on groups

Antoine Derighetti

（Lecture notes of the Unione matematica italiana, 11）

Springer, c2011

注記

Includes bibliographical references (p. 167-171)

"UMI"

内容説明・目次

内容説明

This volume is devoted to a systematic study of the Banach algebra of the convolution operators of a locally compact group. Inspired by classical Fourier analysis we consider operators on Lp spaces, arriving at a description of these operators and Lp versions of the theorems of Wiener and Kaplansky-Helson.

目次

1 Elementary Results.- 2 An Approximation Theorem for CV2(G).- 3 The Figa-Talamanca Herz Algebra.- 4 The Dual of Ap(G).- 5 CVp(G) as a Module on Ap(G).- 6 The Support of a Convolution Operator.- 7 Convolution Operators Supported by Subgroups.- 8 CVp(G) as a Subspace of CV2(G).

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB06331588
• ISBN:
  • 9783642206559
• LCCN: 2011932164
• 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
• ページ数/冊数: xii, 171 p.
• 大きさ: 24 cm
• 分類:
  • SG : 510
• 親書誌ID:
  • BA78039391