Analytic Algebraic and Geometric Aspects of Differential Equations

Author: Galina Filipuk
Publisher: Birkhäuser
ISBN: 9783319528427
Release Date: 2017-06-23
Genre: Mathematics

This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.

Trends in Harmonic Analysis

Author: Massimo A. Picardello
Publisher: Springer Science & Business Media
ISBN: 9788847028531
Release Date: 2012-12-05
Genre: Mathematics

This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).

Random Walks and Discrete Potential Theory

Author: M. Picardello
Publisher: Cambridge University Press
ISBN: 0521773121
Release Date: 1999-11-18
Genre: Mathematics

Comprehensive and interdisciplinary text covering the interplay between random walks and structure theory.

Modern Theory of Dynamical Systems A Tribute to Dmitry Victorovich Anosov

Author: Anatole Katok
Publisher: American Mathematical Soc.
ISBN: 9781470425609
Release Date: 2017-06-19
Genre: Boundary value problems

This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.

Books in Print

ISBN: STANFORD:36105015915866
Release Date: 1989
Genre: American literature

Foundations of Computational Mathematics Budapest 2011

Author: Felipe Cucker
Publisher: Cambridge University Press
ISBN: 9781107604070
Release Date: 2012-11-15
Genre: Computers

A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.