Representation Theory Noncommutative Harmonic (64 results)
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Hardcover. Condition: Very Good+. Dust Jacket Condition: No Dust Jacket As Issued. First US Edition; 1st Printing Thus. EX-LIBRARY showing minimal treatments. Else, Near Fine: shows only very smudges to the the panels; a hint of 'crinkliness' to the the upper corner of the rear endpapers (perhaps handled with damp fingers or suc…h) ; the binding is square and secure; the text is clean. Free of any creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. A handsome copy, structurally sound and tightly bound, showing unobtrusive imperfections - and of course the library markings. Bright and clean. Corners sharp. NOT a Remainder or Book-Club. 8vo (9.5 x 6.35 x 0.85 Inches) . Indexes. Language: English. Weight: 19 ounces. First published in Russian in 1990. Hardback: No DJ 'as issued'. This volume of the Encyclopaedia contains two contributions; the first one, "Harmonic Analysis on Homogeneous Spaces", is written by V. F. Molchanov, the second one, "Representations of Lie Groups and Special Functions", by N. Ya. Vilenkin and A. U. Klimyk. Molchanov focuses on harmonic analysis on semi-simple spaces, whereas Vilenkin and Klimyk treat group theoretical methods also with respect to special functions, orthogonal polynomials and integral transforms. Both contributions are surveys introducing readers to the above topics 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. ; Encyclopaedia of Mathematical Sciences; Vol. 59; Large 8vo 9" - 10" tall; 273 pages.
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1994. 244 p. Unread book. Very good condition. Minimum traces of storage. 9783540186984 Sprache: Englisch Gewicht in Gramm: 431 Hardcover: 23.4 x 1.6 x 15.6 cm.
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Taschenbuch. Condition: Neu. Representation Theory and Noncommutative Harmonic Analysis I | Fundamental Concepts. Representations of Virasoro and Affine Algebras | A. A. Kirillov | Taschenbuch | Encyclopaedia of Mathematical Sciences | viii | Englisch | 2010 | Springer | EAN 9783642057403 | Verantwortliche Person für die EU: Spr…inger Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions (Encyclopaedia of Mathematical Sciences, 59)
Kirillov, Alexandre [Editor]; Dijk, G.van [Translator]; Klimyk, A.U. [Translator]; Klimyk, A.U. [Contributor]; Molchanov, V.F. [Translator]; Molchanov, V.F. [Contributor]; Pakuliak, S.Z. [Translator]; Vilenkin, N.Ya. [Contributor];
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Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions (Encyclopaedia of Mathematical Sciences, 59)
Kirillov, Alexandre [Editor]; Dijk, G.van [Translator]; Klimyk, A.U. [Translator]; Klimyk, A.U. [Contributor]; Molchanov, V.F. [Translator]; Molchanov, V.F. [Contributor]; Pakuliak, S.Z. [Translator]; Vilenkin, N.Ya. [Contributor];
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the exponential function, the prob ability integral and so on…. Elliptic integrals proved to be the most important. They are connected with rectification of arcs of certain curves. The remarkable idea of Abel to replace these integrals by the corresponding inverse functions led to the creation of the theory of elliptic functions. They are doubly periodic functions of a complex variable. This periodicity has led to consideration of the lattice of periods and to linear-fractional trans formations of the complex plane which leave this lattice invariant. The group of these transformations is isomorphic to the quotient group of the group 8L(2, Z) of unimodular matrices of the second order with integral elements with respect to its center. Investigation of properties of elliptic functions led to the study of automorphic functions and forms. This gave the first connec tion between the theory of groups and this important class of functions. The further development of the theory of automorphic functions was related to geometric concepts connected with the fact that the group of linear-fractional transformations with real elements can be realized as the group of motions of th the Lobachevskij plane. We also note that at the beginning of the 19 century Gauss used the group 8L(2, Z) in his papers on the theory of indeterminate quadratic forms.
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Published by Springer Spektrum, 2010
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie gr…oups. It is a typical feature of this survey that the structure of the theory is carefully exposed - the reader can easily see the essence of the theory without being overwhelmed by details. The final chapter is devoted to the method of orbits for different types of groups. Part II deals with representation of Virasoro and Kac-Moody algebra. The second part of the book deals with representations of Virasoro and Kac-Moody algebra. The wealth of recent results on representations of infinite-dimensional groups is presented.
