Lectures on Bochner-Riesz Means

Lectures on Bochner-Riesz Means
Author: Katherine Michelle Davis
Publisher: Cambridge University Press
Total Pages: 168
Release: 1987-11-12
Genre: Mathematics
ISBN: 9780521312776

Beginning with a thorough discussion of the classical one-dimensional theory, this text considers the modern theory of Fourier series since Zygmund's classic study. It covers developments of the 1970s from Fefferman's famous disc counterexample to Cordoba's geometric theory.

Bochner-Riesz Means on Euclidean Spaces

Bochner-Riesz Means on Euclidean Spaces
Author: Shanzhen Lu
Publisher: World Scientific
Total Pages: 385
Release: 2013
Genre: Mathematics
ISBN: 9814458775

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

Lectures on the Asymptotic Theory of Ideals

Lectures on the Asymptotic Theory of Ideals
Author: D. Rees
Publisher: Cambridge University Press
Total Pages: 216
Release: 1988-11-25
Genre: Mathematics
ISBN: 0521311276

In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University.

Analysis at Urbana: Volume 2, Analysis in Abstract Spaces

Analysis at Urbana: Volume 2, Analysis in Abstract Spaces
Author: Earl R. Berkson
Publisher: Cambridge University Press
Total Pages: 370
Release: 1989-03-30
Genre: Mathematics
ISBN: 9780521364379

Throughout the acedemic year 1986-7, the University of Illinois hosted a symposium on mathematical analysis attended by some of the leading figures in the field. This resulting book lays emphasis on the synthesis of modern and classical analysis. The contributed articles cover the mainstream topics and will be essential to researchers in mathematical analysis.

Operator Algebras and Applications

Operator Algebras and Applications
Author: David E. Evans
Publisher: Cambridge University Press
Total Pages: 253
Release: 1989
Genre: Mathematical physics
ISBN: 0521368448

These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.

Algebraic, Extremal and Metric Combinatorics 1986

Algebraic, Extremal and Metric Combinatorics 1986
Author: M. Deza
Publisher: Cambridge University Press
Total Pages: 260
Release: 1988-08-25
Genre: Mathematics
ISBN: 9780521359238

This book represents a comprehensive overview of the present state of progress in three related areas of combinatorics. It comprises selected papers from a conference held at the University of Montreal. Topics covered in the articles include association schemes, extremal problems, combinatorial geometrics and matroids, and designs. All the papers contain new results and many are extensive surveys of particular areas of research. Particularly valuable will be Ivanov's paper on recent Soviet research in these areas. Consequently this volume will be of great attraction to all researchers in combinatorics and to research students requiring a rapid introduction to some of the open problems in the subject.

Gröbner Bases and Applications

Gröbner Bases and Applications
Author: Bruno Buchberger
Publisher: Cambridge University Press
Total Pages: 566
Release: 1998-02-26
Genre: Mathematics
ISBN: 9780521632980

Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

Analytic Number Theory

Analytic Number Theory
Author: Yoichi Motohashi
Publisher: Cambridge University Press
Total Pages: 396
Release: 1997-10-16
Genre: Mathematics
ISBN: 0521625122

Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.