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Special Functions and the Theory of Group Representations By N. Vilenkin

Special Functions and the Theory of Group Representations by N. Vilenkin

Condition - Very Good
$222.99
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Summary

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.

Special Functions and the Theory of Group Representations Summary

Special Functions and the Theory of Group Representations by N. Vilenkin

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 group $SL(2,R)$, as well as many other classes of special functions.

Additional information

GOR011112950
9780821815724
0821815725
Special Functions and the Theory of Group Representations by N. Vilenkin
Used - Very Good
Paperback
American Mathematical Society
1968-12-30
613
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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