Representation Theory and Noncommutative Harmonic Analysis II

Representation Theory and Noncommutative Harmonic Analysis II PDF Author: A.A. Kirillov
Publisher: Springer Science & Business Media
ISBN: 3662097567
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

Representation Theory and Noncommutative Harmonic Analysis II

Representation Theory and Noncommutative Harmonic Analysis II PDF Author: A.A. Kirillov
Publisher: Springer Science & Business Media
ISBN: 3662097567
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

Representation of Lie Groups and Special Functions

Representation of Lie Groups and Special Functions PDF Author: Naum I︠A︡kovlevich Vilenkin
Publisher: Springer Science & Business Media
ISBN: 9780792314660
Category : Mathematics
Languages : en
Pages : 650

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Book Description
One service mathematici has rendered the 'Et moi, ... si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el;re of this series."

Representation of Lie Groups and Special Functions

Representation of Lie Groups and Special Functions PDF Author: N.Ja. Vilenkin
Publisher: Springer Science & Business Media
ISBN: 940172881X
Category : Mathematics
Languages : en
Pages : 651

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Book Description
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.

Special Functions and the Theory of Group Representations

Special Functions and the Theory of Group Representations PDF Author: Naum I͡Akovlevich Vilenkin
Publisher: American Mathematical Soc.
ISBN: 9780821886526
Category : Mathematics
Languages : en
Pages : 628

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Book Description


Commutative Harmonic Analysis II

Commutative Harmonic Analysis II PDF Author: Viktor Petrovich Khavin
Publisher: Springer Science & Business Media
ISBN: 9783540519980
Category : Mathematics
Languages : en
Pages : 340

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Book Description
Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400959974
Category : Mathematics
Languages : en
Pages : 525

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Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952

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Book Description


Special Functions and Linear Representations of Lie Groups

Special Functions and Linear Representations of Lie Groups PDF Author: Jean DieudonnŽ
Publisher: American Mathematical Soc.
ISBN: 9780821888872
Category : Mathematics
Languages : en
Pages : 68

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Book Description


Special Functions and Linear Representations of Lie Groups

Special Functions and Linear Representations of Lie Groups PDF Author: Jean Dieudonné
Publisher: American Mathematical Soc.
ISBN: 0821816926
Category : Mathematics
Languages : en
Pages : 65

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Book Description


An Introduction to Lie Groups and Lie Algebras

An Introduction to Lie Groups and Lie Algebras PDF Author: Alexander A. Kirillov
Publisher: Cambridge University Press
ISBN: 0521889693
Category : Mathematics
Languages : en
Pages : 237

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Book Description
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.