BochnerRiesz Means on Euclidean Spaces

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Geometry
Cover of the book BochnerRiesz Means on Euclidean Spaces by Shanzhen Lu, Dunyan Yan, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Shanzhen Lu, Dunyan Yan ISBN: 9789814458788
Publisher: World Scientific Publishing Company Publication: August 28, 2013
Imprint: WSPC Language: English
Author: Shanzhen Lu, Dunyan Yan
ISBN: 9789814458788
Publisher: World Scientific Publishing Company
Publication: August 28, 2013
Imprint: WSPC
Language: English

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.

Contents:

  • 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

Readership: Graduate students and researchers in mathematics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Graduate students and researchers in mathematics.

More books from World Scientific Publishing Company

Cover of the book Practical Strategic Management by Shanzhen Lu, Dunyan Yan
Cover of the book Classical Theory of Electromagnetism by Shanzhen Lu, Dunyan Yan
Cover of the book Construction Technology for Tall Buildings by Shanzhen Lu, Dunyan Yan
Cover of the book Nature-Inspired Mobile Robotics by Shanzhen Lu, Dunyan Yan
Cover of the book Uncertainty Modeling in Knowledge Engineering and Decision Making by Shanzhen Lu, Dunyan Yan
Cover of the book Kernel-based Approximation Methods using MATLAB by Shanzhen Lu, Dunyan Yan
Cover of the book Let There Be Light by Shanzhen Lu, Dunyan Yan
Cover of the book The Future of High Energy Physics — Some Aspects by Shanzhen Lu, Dunyan Yan
Cover of the book Noncommutative Geometry and Physics 3 by Shanzhen Lu, Dunyan Yan
Cover of the book Plasmon Resonances in Nanoparticles by Shanzhen Lu, Dunyan Yan
Cover of the book Sports Medicine for the Orthopedic Resident by Shanzhen Lu, Dunyan Yan
Cover of the book Liquid Crystals with Nano and Microparticles by Shanzhen Lu, Dunyan Yan
Cover of the book Emergent Information by Shanzhen Lu, Dunyan Yan
Cover of the book Linear Algebra as an Introduction to Abstract Mathematics by Shanzhen Lu, Dunyan Yan
Cover of the book Stochastic Drawdowns by Shanzhen Lu, Dunyan Yan
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy