Algebraic Analysis

Algebraic Analysis
Author: Masaki Kashiwara
Publisher: Academic Press
Total Pages: 501
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483267946

Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume II is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is divided into 29 chapters and starts with research works concerning the fundamentals of KP equations, strings, Schottky problem, and the applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations,. The subsequent chapters contain papers on the approach to nonlinear integrable systems, the Hodge numbers, the stochastic different equation for the multi-dimensional weakly stationary process, and a method of harmonic analysis on semisimple symmetric spaces. These topics are followed by studies on the quantization of extended vortices, moduli space for Fuchsian groups, microfunctions for boundary value problems, and the issues of multi-dimensional integrable systems. The remaining chapters explore the practical aspects of pseudodifferential operators in hyperfunction theory, the elliptic solitons, and Carlson’s theorem for holomorphic functions. This book will prove useful to mathematicians and advance mathematics students.

Stochastic Analysis

Stochastic Analysis
Author: Michael Craig Cranston
Publisher: American Mathematical Soc.
Total Pages: 634
Release: 1995
Genre: Mathematics
ISBN: 0821802895

This book deals with current developments in stochastic analysis and its interfaces with partial differential equations, dynamical systems, mathematical physics, differential geometry, and infinite-dimensional analysis. The origins of stochastic analysis can be found in Norbert Wiener's construction of Brownian motion and Kiyosi Itô's subsequent development of stochastic integration and the closely related theory of stochastic (ordinary) differential equations. The papers in this volume indicate the great strides that have been made in recent years, exhibiting the tremendous power and diversity of stochastic analysis while giving a clear indication of the unsolved problems and possible future directions for development. The collection represents the proceedings of the AMS Summer Institute on Stochastic Analysis, held in July 1993 at Cornell University. Many of the papers are largely expository in character while containing new results.

New Dictionary of Scientific Biography

New Dictionary of Scientific Biography
Author: Noretta Koertge
Publisher: Scribner
Total Pages: 458
Release: 2008
Genre: Science
ISBN:

Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography.

Global Analysis on Foliated Spaces

Global Analysis on Foliated Spaces
Author: Calvin C. Moore
Publisher: Cambridge University Press
Total Pages: 316
Release: 2006
Genre: Mathematics
ISBN: 9780521613057

This book presents a complete proof of Connes' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

The Mathematical Heritage of Hermann Weyl

The Mathematical Heritage of Hermann Weyl
Author: Raymond O'Neil Wells
Publisher: American Mathematical Soc.
Total Pages: 358
Release: 1988
Genre: Mathematics
ISBN: 0821814826

Hermann Weyl was one of the most influential mathematicians of the twentieth century. Viewing mathematics as an organic whole rather than a collection of separate subjects, Weyl made profound contributions to a wide range of areas, including analysis, geometry, number theory, Lie groups, and mathematical physics, as well as the philosophy of science and of mathematics. The topics he chose to study, the lines of thought he initiated, and his general perspective on mathematics have proved remarkably fruitful and have formed the basis for some of the best of modern mathematical research. This volume contains the proceedings of the AMS Symposium on the Mathematical Heritage of Hermann Weyl, held in May 1987 at Duke University. In addition to honoring Weyl's great accomplishments in mathematics, the symposium also sought to stimulate the younger generation of mathematicians by highlighting the cohesive nature of modern mathematics as seen from Weyl's ideas. The symposium assembled a brilliant array of speakers and covered a wide range of topics. All of the papers are expository and will appeal to a broad audience of mathematicians, theoretical physicists, and other scientists.