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Book synopsis

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-Sjolin 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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Bochner-riesz Means On Euclidean Spaces
• Author: Shanzhen Lu
• Language: English
• Binding: Hardback
• Number of pages: 388
• EAN: 9789814458764
• ISBN: 9814458767
• ID: 01367930
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 822 g
• Dimensions: 171 × 248 × 25 mm
• Date of publishing: 01. November 2013

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