Bochner-Riesz means on Euclidean spaces

著者

• Lu, Shanzhen
• Yan, Dunyan

書誌事項

Bochner-Riesz means on Euclidean spaces

Shanzhen Lu, Dunyan Yan

World Scientific, c2013

注記

Includes bibliographical references (p. 367-374) and index

内容説明・目次

内容説明

This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner-Riesz means and important achievements attained in the last 50 years. For the Bochner-Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the Disc multiplier conjecture, the famous Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's work on almost everywhere convergence of the Bochner-Riesz means below the critical index. For the Bochner-Riesz means of multiple Fourier series, it includes the theory and application of a class of function space generated by blocks, which is closely related to almost everywhere convergence of the Bochner-Riesz means. In addition, the book also introduce some research results on approximation of functions by the Bochner-Riesz means.

目次

• An Introduction to Multiple Fourier Series
• Bochner - Riesz Means of Multiple Fourier Integral
• Bochner - Riesz Means of Multiple Fourier Series
• The Conjugate Fourier Integral and Series.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB13412883
• ISBN:
  • 9789814458764
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New Jersey
• ページ数/冊数: viii, 376 p.
• 大きさ: 26 cm
• 分類:
  • DC23 : 515.2433
• 件名:
  • LCSH : Fourier series
  • LCSH : Riesz spaces