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Book Review

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Book Information:

Author: Antoni Wawrzyńczyk
Title: Group representations and special functions
Additional book information: Mathematics and its Applications, D. Reidel Publishing Co., Dordrecht/Boston/Lancaster, 1984, xvi + 687 pp., $119.00 US; Dfl. 320,--. ISBN 90-277-1269-7.

References [Enhancements On Off] (What's this?)

  • 1. Antoni Wawrzyńczyk, Współczesna teoria funkcji specjalnych, Biblioteka Matematyczna [Mathematics Library], vol. 52, Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1978 (Polish). Wstęp do analizy harmonicznej na przestrzeniach jednorodnych. [Introduction to harmonic analysis in homogeneous spaces]; With a section on problems by Aleksander Strasburger. MR 509039
  • 2. N. J. Vilenkin, Spetsiyalnye funktsii i teoriya predstavlenii grupp, Izdat. "Nauka", Moskva, 1965, English transl. in Special functions and the theory of group representations, Monographs, vol. 22, Amer. Math. Soc., Providence, R. I., 1968. MR 209523
  • 3. J. Talman, Special functions: a group theoretic approach, Benjamin, New York, 1968. MR 239154
  • 4. S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962. MR 145455
  • 5. Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
  • 6. W. Miller, Lie theory and special functions, Academic Press, New York, 1968. MR 264140
  • 7. T. Inoui, Unified theory of recurrence formulas, Progr. Theoret. Phys. 3 (1948), 169-187, 244-261. MR 28484
  • 8. L. Infeld and T. Hull, The factorization method, Rev. Modern Phys. 23 (1951), 21-68. MR 43308
  • 9. T. Koornwinder, The addition formula for Jacobi polynomials and spherical harmonics, SIAM J. Appl. Math. 25 (1973), 236-246. MR 346212
  • 10. T. Koornwinder, Two variable analogues of the classical orthogonal polynomials, Theory and Application of Special Functions (R. Askey, ed.), Academic Press, New York, 1975, pp. 435-495. MR 402146
  • 11. Tom H. Koornwinder, Jacobi functions and analysis on noncompact semisimple Lie groups, Special functions: group theoretical aspects and applications, Math. Appl., Reidel, Dordrecht, 1984, pp. 1–85. MR 774055
  • 12. Richard Askey and James Wilson, A set of orthogonal polynomials that generalize the Racah coefficients or 6-𝑗 symbols, SIAM J. Math. Anal. 10 (1979), no. 5, 1008–1016. MR 541097, https://doi.org/10.1137/0510092
  • 13. Dennis Stanton, Orthogonal polynomials and Chevalley groups, Special functions: group theoretical aspects and applications, Math. Appl., Reidel, Dordrecht, 1984, pp. 87–128. MR 774056
  • 14. W. Miller, Symmetry and separation of variables, Addison-Wesley, Reading, Mass., 1977. MR 460751
  • 15. S. Helgason, Lie groups and symmetric spaces, Battele Rencontres (C. M. DeWitt and J. A. Wheeler, eds.), Benjamin, New York, 1968. MR 236325

Review Information:

Reviewer: Willard Miller, Jr.
Journal: Bull. Amer. Math. Soc. 13 (1985), 70-73
DOI: https://doi.org/10.1090/S0273-0979-1985-15371-6
American Mathematical Society