Titlebook: Representation of Lie Groups and Special Functions; Recent Advances N. Ja. Vilenkin,A. U. Klimyk Book 1995 Springer Science+Business Media

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Clebsch-Gordan Coefficients and Racah Coefficients of Finite Dimensional Representations,entations of the group .(2). These coefficients led us to orthogonal polynomials of a discrete variable. In this chapter we represent a foundation of CGC’s and RC’s for finite dimensional representations of compact groups. These coefficients form complete orthonormal systems of functions of many dis

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NICHE

,Gel’fand Hypergeometric Functions,ergeometric functions on Grassmannians). These functions are multivariate generalizations of hypergeometric functions of one variable. They are solutions of certain systems of differential equations (general hypergeometric systems) and are related to the Radon transform. At the present time, a deep

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,-Harmonic Polynomials, ,-Hankel Transform, and Coxeter Groups,als on the Euclidean space .. vanishing under action of the .-Laplacian. The analogue of majority of results from the theory of harmonic polynomials is valid for .-harmonic polynomials. The theory of .-harmonic polynomials leads to the .-Bessel function and to the .-Hankel transform.

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Clebsch-Gordan Coefficients and Racah Coefficients of Finite Dimensional Representations,CGC’s and RC’s for finite dimensional representations of compact groups. These coefficients form complete orthonormal systems of functions of many discrete variables. CGC’s and RC’s of the unitary group .(n) lead to generalized multivariate hypergeometric functions. The theory of these hypergeometric functions will be given in Chapter 5.

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Book 1995 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 o

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N. Ja. Vilenkin,A. U. Klimyke abnormally elevated protein synthesis. The existing safety data on baclofen facilitated clinical development, and arbaclofen was tested in autistic and FXS patients in multiple large, controlled clinical trials. The results of these studies failed to show clinical benefit in the chosen outcome mea

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N. Ja. Vilenkin,A. U. Klimyks and discusses the findings of GABA. receptor agonists on TLESR, GER, GERD, and cough in both the preclinical setting, healthy individuals and patients. Special attention is devoted to the role of the vagus in mediating these pharmacological effects.