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Special Functions and the Theory of Group Representations (Translations of Mathematical Monographs)
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Description for Special Functions and the Theory of Group Representations (Translations of Mathematical Monographs)
Paperback. Describes connections between the exponential functions and the additive group of real numbers (Fourier analysis), Legendre and Jacobi polynomials and representations of the group $SU(2)$, and the hypergeometric function and representations of the group $SL(2,R)$, as well as many other classes of special functions. Series: Translations of Mathematical Monographs. Num Pages: 613 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 1046.
A standard scheme for a relation between special functions and group representation theory is the following: certain classes of special functions are interpreted as matrix elements of irreducible representations of a certain Lie group, and then properties of special functions are related to (and derived from) simple well-known facts of representation theory. The book combines the majority of known results in this direction. In particular, the author describes connections between the exponential functions and the additive group of real numbers (Fourier analysis), Legendre and Jacobi polynomials and representations of the group $SU(2)$, and the hypergeometric function and representations of the ... Read more
A standard scheme for a relation between special functions and group representation theory is the following: certain classes of special functions are interpreted as matrix elements of irreducible representations of a certain Lie group, and then properties of special functions are related to (and derived from) simple well-known facts of representation theory. The book combines the majority of known results in this direction. In particular, the author describes connections between the exponential functions and the additive group of real numbers (Fourier analysis), Legendre and Jacobi polynomials and representations of the group $SU(2)$, and the hypergeometric function and representations of the ... Read more
Product Details
Format
Paperback
Publication date
1968
Publisher
American Mathematical Society
Condition
New
Series
Translations of Mathematical Monographs
Number of Pages
613
Place of Publication
Providence, United States
ISBN
9780821815724
SKU
V9780821815724
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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