Author: V. S. VaradarajanPublisher:
ISBN: 9780821810682
Category : Mathematics
Languages : en
Pages : 0
Book Description
The Selected Works of V.S. Varadarajan: Differential equations, representation theory
Author: V. S. VaradarajanPublisher:
ISBN: 9780821810682
Category : Mathematics
Languages : en
Pages : 0
Book Description
The Selected Works of V.S. Varadarajan
Author: V. S. VaradarajanPublisher: American Mathematical Soc.
ISBN: 9780821810682
Category : Mathematics
Languages : en
Pages : 652
Book Description
V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions. This book is jointly published by the AMS and the International Press.
Selected Works of V. S. Varadarajan
Author: V. S. VaradarajanPublisher:
ISBN: 9789380250557
Category : Mathematical models
Languages : en
Pages : 646
Book Description
Selected Papers of V. S. Varadarajan
Author: Donald G. BabbittPublisher:
ISBN: 9789380250571
Category : Mathematics
Languages : en
Pages : 718
Book Description
These two volumes constitute a selection of papers of V. S. Varadarajan. An earlier volume of Selected Papers was published by the American Mathematical Society and International Press in 1998. The papers reproduced in these two volumes include not only the articles published since 1998 but also some important papers published earlier which were not included in the original Selected Papers for reasons of space and other limitations. The current volumes contain the papers on fundamental questions of individual and families of meromorphic differential equations that are treated by a new group theoretic and functional approach; papers on representation theory of Lie groups; papers on foundations of physics, supersymmetry, and P-adic aspects of quantum physical theories; papers on analysis, especially oscillatory integrals, on semi-simple lie groups, their conjugacy classes, and their flag manifolds; and finally, several review articles, both personal and mathematical, on a number of the above topics. The volumes are divided into sections by topics and in each section the editors have included a brief summary of the contents of the section as well as putting the papers in the historical context and, in the process, raising interesting new problems.
Elliptic Partial Differential Equations
Author: Qing HanPublisher: American Mathematical Soc.
ISBN: 0821853139
Category : Mathematics
Languages : en
Pages : 161
Book Description
This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a priori estimates for second-order equations of elliptic type with particular emphasis on maximal principles, Harnack inequalities, and their applications. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems.
Algebraic and Analytic Methods in Representation Theory
Author: Publisher: Elsevier
ISBN: 0080526950
Category : Mathematics
Languages : en
Pages : 357
Book Description
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field
Reflections on Quanta, Symmetries, and Supersymmetries
Author: V.S. VaradarajanPublisher: Springer Science & Business Media
ISBN: 1441906673
Category : Mathematics
Languages : en
Pages : 242
Book Description
This is a collection of essays based on lectures that author has given on various occasions on foundation of quantum theory, symmetries and representation theory, and the quantum theory of the superworld created by physicists. The lectures are linked by a unifying theme: how the quantum world and superworld appear under the lens of symmetry and supersymmetry. In the world of ultra-small times and distances such as the Planck length and Planck time, physicists believe no measurements are possible and so the structure of spacetime itself is an unknown that has to be first understood. There have been suggestions (Volovich hypothesis) that world geometry at such energy regimes is non-archimedian and some of the lectures explore the consequences of such a hypothesis. Ultimately, symmetries and supersymmetries are described by the representation of groups and supergroups. The author's interest in representation is a lifelong one and evolved slowly, and owes a great deal to conversations and discussions he had with George Mackey and Harish-Chandra. The book concludes with a retrospective look at these conversations.
Differential Equations
Author: O.A. OleinikPublisher: CRC Press
ISBN: 9782881249792
Category : Mathematics
Languages : en
Pages : 522
Book Description
Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in this book have Profoundly, influenced the development of modern mathematics. Of exceptional value is the article on the equation of diffusion with growing quantity of the substance. This work has found extensive application in biology, genetics, economics and other branches of natural science. Also of great importance is Petrowsky's work on a Problem which still remains unsolved - that of the number of limit cycles for ordinary differential equations with rational right-hand sides.
Regular Variation and Differential Equations
Author: Vojislav MaricPublisher: Springer Science & Business Media
ISBN: 9783540671602
Category : Mathematics
Languages : en
Pages : 148
Book Description
This book constitutes the refereed proceedings of the Third Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD '99, held in Beijing, China, in April 1999. The 29 revised full papers presented together with 37 short papers were carefully selected from a total of 158 submissions. The book is divided into sections on emerging KDD technology; association rules; feature selection and generation; mining in semi-unstructured data; interestingness, surprisingness, and exceptions; rough sets, fuzzy logic, and neural networks; induction, classification, and clustering; visualization; causal models and graph-based methods; agent-based and distributed data mining; and advanced topics and new methodologies.
Operators and Representation Theory
Author: Palle E.T. JorgensenPublisher: Courier Dover Publications
ISBN: 0486822575
Category : Science
Languages : en
Pages : 307
Book Description
Three-part treatment covers background material on definitions, terminology, operators in Hilbert space domains of representations, operators in the enveloping algebra, spectral theory; and covariant representation and connections. 2017 edition.