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ZONAL AND ASSOCIATED FUNCTIONS ON SO0 p; q GROUPS

Yıl 2018, Cilt: 8 Sayı: 1, 32 - 43, 01.06.2018

Öz

Explicit expressions for associated spherical functions of SO p; q matrix groups are obtained using a generalized hypergeometric series of two variables. In this paper we present explicit expressions for zonal functions of de Sitter groups and the group of conformal invariance. Moreover, we present a theorem on the transformation of derivative of distributions, concentrated on smooth surfaces, with respect to in nite- dimensional Lie group C1 Rn ;GL n .

Kaynakça

  • A.O. Barut, R. Raczka, (1977), Theory of Group Representations and Applications, Warszawa.
  • Theoretico-group methods in physics. Trudi mejd. semin. v Zveinigorode. - Moscow, ”Nauka”, v. 1-2 (1983) pp. 499-505. (in Russian).
  • Vilenkin N.Ya. Special functions and the theory of groups representations.- Moscow, ”Nauka”, (1991). (in Russian).
  • A.U. Klimik, Matrix elements and Clebsh-Gordon coefficients of group representations.-Kiev, ”Naukovo dumka”, (1979). (in Russian).
  • C.S. Herz, Ann. of Math., 61, N3 (1955), pp. 474-523.
  • B.A. Rajabov, Proc. Nat. Acad. Sci., Azerbaijan, 44, N5 (1988), pp. 48-52; (in Russian).
  • B.A. Rajabov, Proc. Nat. Acad. Sci., Azerbaijan, 44, N7 (1988), pp.21-25; (in Russian).
  • B.A. Rajabov, Tr. J. of Physics, 18 (1994), 590 - 599.
  • Rajabov B.A.,(2003) arXiv:math-ph/0302051, p.6.
  • Rajabov B.A.,(2003) arXiv:math-ph/0303058, p.10.
  • Slater L.J. Generalized hypergeometric functions, (1966), Cambridge.
  • Treves F.,Topological Vector Spaces, Distributions and Kernels, (1967), Purdue University, Lafayette, Indiana.
  • I.M. Gelfand, G.E. Shilov, Generalized functions and operations on them, v.1,(1959) (in Russian).
  • F. Riordan, An introduction to combinatorial analysis, (1958), London, Chapman and Hall.
  • J. Horn, Math. Ann., 34, 544 (1889).
  • A.N. Leznov, M. V. Saveliev, Preprint 72-3, Serpukhov, (1972).
Yıl 2018, Cilt: 8 Sayı: 1, 32 - 43, 01.06.2018

Öz

Kaynakça

  • A.O. Barut, R. Raczka, (1977), Theory of Group Representations and Applications, Warszawa.
  • Theoretico-group methods in physics. Trudi mejd. semin. v Zveinigorode. - Moscow, ”Nauka”, v. 1-2 (1983) pp. 499-505. (in Russian).
  • Vilenkin N.Ya. Special functions and the theory of groups representations.- Moscow, ”Nauka”, (1991). (in Russian).
  • A.U. Klimik, Matrix elements and Clebsh-Gordon coefficients of group representations.-Kiev, ”Naukovo dumka”, (1979). (in Russian).
  • C.S. Herz, Ann. of Math., 61, N3 (1955), pp. 474-523.
  • B.A. Rajabov, Proc. Nat. Acad. Sci., Azerbaijan, 44, N5 (1988), pp. 48-52; (in Russian).
  • B.A. Rajabov, Proc. Nat. Acad. Sci., Azerbaijan, 44, N7 (1988), pp.21-25; (in Russian).
  • B.A. Rajabov, Tr. J. of Physics, 18 (1994), 590 - 599.
  • Rajabov B.A.,(2003) arXiv:math-ph/0302051, p.6.
  • Rajabov B.A.,(2003) arXiv:math-ph/0303058, p.10.
  • Slater L.J. Generalized hypergeometric functions, (1966), Cambridge.
  • Treves F.,Topological Vector Spaces, Distributions and Kernels, (1967), Purdue University, Lafayette, Indiana.
  • I.M. Gelfand, G.E. Shilov, Generalized functions and operations on them, v.1,(1959) (in Russian).
  • F. Riordan, An introduction to combinatorial analysis, (1958), London, Chapman and Hall.
  • J. Horn, Math. Ann., 34, 544 (1889).
  • A.N. Leznov, M. V. Saveliev, Preprint 72-3, Serpukhov, (1972).
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

B.a. Rajabov Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 8 Sayı: 1

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