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representation theory

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1: 26.19 Mathematical Applications
§26.19 Mathematical Applications
Partitions and plane partitions have applications to representation theory (Bressoud (1999), Macdonald (1995), and Sagan (2001)) and to special functions (Andrews et al. (1999) and Gasper and Rahman (2004)). …
2: Wolter Groenevelt
Groenevelt’s research interests is in special functions and orthogonal polynomials and their relations with representation theory and interacting particle systems. …
3: Donald St. P. Richards
He is editor of the book Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, published by the American Mathematical Society in 1992, and coeditor of Representation Theory and Harmonic Analysis: A Conference in Honor of R. A. Kunze (with T. …
4: 27.13 Functions
§27.13(iv) Representation by Squares
5: Bibliography T
  • T. Ton-That, K. I. Gross, D. St. P. Richards, and P. J. Sally (Eds.) (1995) Representation Theory and Harmonic Analysis. Contemporary Mathematics, Vol. 191, American Mathematical Society, Providence, RI.
  • 6: Bibliography G
  • K. I. Gross and R. A. Kunze (1976) Bessel functions and representation theory. I. J. Functional Analysis 22 (2), pp. 73–105.
  • 7: 18.38 Mathematical Applications
    Quadrature “Extended” to Pseudo-Spectral (DVR) Representations of Operators in One and Many Dimensions
    8: Bibliography V
  • N. Ja. Vilenkin (1968) Special Functions and the Theory of Group Representations. American Mathematical Society, Providence, RI.
  • 9: 27.4 Euler Products and Dirichlet Series
    27.4.1 n = 1 f ( n ) = p ( 1 + r = 1 f ( p r ) ) ,
    Euler products are used to find series that generate many functions of multiplicative number theory. The completely multiplicative function f ( n ) = n s gives the Euler product representation of the Riemann zeta function ζ ( s ) 25.2(i)): …
    27.4.4 F ( s ) = n = 1 f ( n ) n s ,
    10: 18.39 Applications in the Physical Sciences
    Table 18.39.1: Typical Non-Classical Weight Functions Of Use In DVR Applicationsa
    Name of OP System w ( x ) [ a , b ] Notation Applications