Representation Of Lie Groups And Special Functions Class I Representations Special Functions And Integral Transforms

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Representation of Lie Groups and Special Functions

Author : N.Ja. Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 940113538X
Total Pages : 635 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin

Representation of Lie Groups and Special Functions

Author : N.Ja. Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 9401728836
Total Pages : 629 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second 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 the properties of special functions and orthogonal polynomials (Legendre, Gegenbauer, Jacobi, Laguerre, Bessel and others) which are related to the class 1 representations of various groups. The tree method for the construction of bases for representation spaces is given. `Continuous' bases in the spaces of functions on hyperboloids and cones and corresponding Poisson kernels are found. Also considered are the properties of the q-analogs of classical orthogonal polynomials, related to representations of the Chevalley groups and of special functions connected with fields of p-adic numbers. Much of the material included appears in book form for the first time and many of the topics are presented in a novel way. This volume will be of great interest to specialists in group representations, special functions, differential equations with partial derivatives and harmonic anlysis. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.

Representation of Lie Groups and Special Functions

Author : N.Ja. Vilenkin
Publisher : Springer
ISBN 13 : 9780792314943
Total Pages : 1920 pages
Book Rating : 4.3/5 (149 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin

Representation of Lie Groups and Special Functions: Class I representations, special functions, and integral transforms

Author : Naum I︠A︡kovlevich Vilenkin
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (91 download)

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Book Synopsis Representation of Lie Groups and Special Functions: Class I representations, special functions, and integral transforms by : Naum I︠A︡kovlevich Vilenkin

Download or read book Representation of Lie Groups and Special Functions: Class I representations, special functions, and integral transforms written by Naum I︠A︡kovlevich Vilenkin and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation of Lie Groups and Special Functions

Author : N.Ja. Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 9401728852
Total Pages : 518 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups and Lie algebras upon the theory of special functions is lasting. This theory is developing further and methods of the representation theory are of great importance in this development. When the book "Representation of Lie Groups and Special Functions" ,vol. 1-3, was under preparation, new directions of the theory of special functions, connected with group representations, appeared. New important results were discovered in the traditional directions. This impelled us to write a continuation of our three-volume book on relationship between representations and special functions. The result of our further work is the present book. The three-volume book, published before, was devoted mainly to studying classical special functions and orthogonal polynomials by means of matrix elements, Clebsch-Gordan and Racah coefficients of group representations and to generaliza tions of classical special functions that were dictated by matrix elements of repre sentations.

Representation of Lie Groups and Special Functions

Author : N.Ja. Vilenkin
Publisher : Springer
ISBN 13 : 9780792314660
Total Pages : 612 pages
Book Rating : 4.3/5 (146 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer. This book was released on 1991-11-30 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation of Lie Groups and Special Functions

Author : N.Ja. Vilenkin
Publisher : Springer
ISBN 13 : 0792314921
Total Pages : 612 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer. This book was released on 1992-12-31 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the "Et moi, ... , si j'avait su comment en revenir, human race. It has put common sense back je n 'y serais point all

Representation of Lie Groups and Special Functions

Author : N.Ja. Vilenkin
Publisher : Springer
ISBN 13 : 9780792314929
Total Pages : 608 pages
Book Rating : 4.3/5 (149 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer. This book was released on 1992-12-31 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second 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 the properties of special functions and orthogonal polynomials (Legendre, Gegenbauer, Jacobi, Laguerre, Bessel and others) which are related to the class 1 representations of various groups. The tree method for the construction of bases for representation spaces is given. `Continuous' bases in the spaces of functions on hyperboloids and cones and corresponding Poisson kernels are found. Also considered are the properties of the q-analogs of classical orthogonal polynomials, related to representations of the Chevalley groups and of special functions connected with fields of p-adic numbers. Much of the material included appears in book form for the first time and many of the topics are presented in a novel way. This volume will be of great interest to specialists in group representations, special functions, differential equations with partial derivatives and harmonic anlysis. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.

Special Functions and Linear Representations of Lie Groups

Author : Jean Dieudonné
Publisher : American Mathematical Soc.
ISBN 13 : 0821816926
Total Pages : 65 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Special Functions and Linear Representations of Lie Groups by : Jean Dieudonné

Download or read book Special Functions and Linear Representations of Lie Groups written by Jean Dieudonné and published by American Mathematical Soc.. This book was released on 1980 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation of Lie Groups and Special Functions: Simplest Lie groups, special functions, and integral transforms

Author : Naum I͡A︡kovlevich Vilenkin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (91 download)

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Book Synopsis Representation of Lie Groups and Special Functions: Simplest Lie groups, special functions, and integral transforms by : Naum I͡A︡kovlevich Vilenkin

Download or read book Representation of Lie Groups and Special Functions: Simplest Lie groups, special functions, and integral transforms written by Naum I͡A︡kovlevich Vilenkin and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Theory and Special Functions

Author : Miller
Publisher : Academic Press
ISBN 13 : 0080955517
Total Pages : 357 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Lie Theory and Special Functions by : Miller

Download or read book Lie Theory and Special Functions written by Miller and published by Academic Press. This book was released on 1968 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie Theory and Special Functions

Representation of Lie Groups and Special Functions

Author : Naum I︠A︡kovlevich Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 9780792314936
Total Pages : 670 pages
Book Rating : 4.3/5 (149 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : Naum I︠A︡kovlevich Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by Naum I︠A︡kovlevich Vilenkin and published by Springer Science & Business Media. This book was released on 1992-09-30 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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%.

Invariant Random Fields on Spaces with a Group Action

Author : Anatoliy Malyarenko
Publisher : Springer Science & Business Media
ISBN 13 : 3642334059
Total Pages : 271 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Invariant Random Fields on Spaces with a Group Action by : Anatoliy Malyarenko

Download or read book Invariant Random Fields on Spaces with a Group Action written by Anatoliy Malyarenko and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.

Integral Transformations, Operational Calculus, and Generalized Functions

Author : R.G. Buschman
Publisher : Springer Science & Business Media
ISBN 13 : 1461312833
Total Pages : 248 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Integral Transformations, Operational Calculus, and Generalized Functions by : R.G. Buschman

Download or read book Integral Transformations, Operational Calculus, and Generalized Functions written by R.G. Buschman and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function".

Representation of Lie Groups and Special Functions: Simplest Lie groups, special functions, and integral transforms

Author : Naum I͡A︡kovlevich Vilenkin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (91 download)

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Book Synopsis Representation of Lie Groups and Special Functions: Simplest Lie groups, special functions, and integral transforms by : Naum I͡A︡kovlevich Vilenkin

Representation of Lie Groups and Special Functions

Author : Naum Ja Vilenkin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (632 download)

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Book Synopsis Representation of Lie Groups and Special Functions by : Naum Ja Vilenkin

Download or read book Representation of Lie Groups and Special Functions written by Naum Ja Vilenkin and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type

Author : Yuri A. Mitropolsky
Publisher : Springer Science & Business Media
ISBN 13 : 9401157529
Total Pages : 223 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by : Yuri A. Mitropolsky

Download or read book Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type written by Yuri A. Mitropolsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have been studied in classical works of Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic equations were considered by Vishik, Ladyzhenskaya, and that for general two dimensional equations were investigated by Bitsadze, Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others. Concerning the solvability in general of nonlinear hyperbolic equations, which are connected to the theory of local and nonlocal boundary value problems for hyperbolic equations, there are only partial results obtained by Bronshtein, Pokhozhev, Nakhushev.