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Klimyk A.U., Vilenkin N.Ya. — Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions
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Название: Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special FunctionsАвторы: Klimyk A.U., Vilenkin N.Ya. Аннотация: This volume of the Encyclopaedia contains two contributions: the first one, "Harmonic Analysis on Homogeneous Spaces", is written by V.F.Molchanov, the second one, "Representations of Lie Groups and Special Functions", by N.Ya. Vilenkin and A.U. Klimyk. Molchanov focuses on harmonic analysis on semi-simple spaces, whereas Vilenkin and Klimyk treat group theoretical methods also with respect to special functions, orthogonal polynomials and integral transforms. Both contributions are surveys introducing readers to the above topics and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Язык: Рубрика: Математика /Симметрия и группы /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1995Количество страниц: 266Добавлена в каталог: 30.04.2005Операции: Положить на полку |
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Representation, space 146 Representation, tangent, of a Lie algebra 19 Representation, tangent, of a Lie group 19 Representation, unitary, of the principal series 46 Representation, weakly contained in a representation 34 Rogov, V.-B.K. 86 134 Root, positive (negative) 15 156 Root, space 155 Roots restricted 15 155 Rosenberg, J. 52 134 Rossmann, W. 5 6 7 26 89 134 Rozenblum, A.V. 150 256 Rozenblum, L.V. 150 256 Sano, S. 6 134 Satake, I. 60 134 Schapira, P. 12 134 Schempp, W. 249 256 Schlichtkrull, H. 5 6 7 12 49 52 56 60 97 127 134 Schwartz, J.T. 113 114 117 129 Sekiguchi, J. 6 7 49 52 133 134 Serganova, V.V. 252 Series, continuous 46 Series, principal 45 Shapiro, R.L. 183 187 256 258 Shapiro, Z.Ya. 251 Shelepin, L.A. 242 256 Shilov, G.E. 12 82 100 130 Shintani, T. 5 7 134 135 Shitikov, I.I. 6 7 134 Shlejnikova, M.A. 256 258 Shtern, A.I. 13 39 108 135 259 Signature of a metric 12 Signature of a quadratic form 10 Slater, L.J. 256 Smorodinskij, Ya.A. 242 256 258 Space of a representation 146 Space of symmetric elements 18 Space, dual 33 Space, symmetric 18 Space, symmetric, (non)-decomposable 18 Space, symmetric, exponential 45 Space, symmetric, irreducible 20 Space, symmetric, pseudo-Riemannian 20 Space, symmetric, Riemannian 21 26 144 Space, symmetric, weakly irreducible 21 Spaces hyperbolic 4 69 Stabilizer 16 Stanton, D. 152 256 Stein, E.M. 52 131 Stolov, E.L. 256 Strichartz, R.S. 5 7 135 Subalgebra, Cartan 14 Subalgebra, Cartan, principal 14 Subalgebra, compactly embedded 13 Subalgebra, parabolic 15 Subalgebra, parabolic, minimal 15 Subalgebra, split 14 Subgroup, Cartan 14 Subgroup, elliptic 157 Subgroup, hyperbolic 157 Subgroup, isotropy 16 Subgroup, Levi 16 Subgroup, massive 174 Subgroup, parabolic 16 156 157 Subgroup, parabolic, minimal 16 156 Subgroup, vector 14 Subgroup, vector, principal 15 Subspace, Garding 33 Subspace, Hilbert 34 Subspace, root 14 Subspaces proportional 34 Sugiura, M. 53 135 Sultanov, Sh.Sh. 6 135 Suslov, S.K. 147 255 256 257 Symmetric algebra 28 Symmetric subspace 18 Symmetrization 28 Szegoe, G. 257 Tallman, J. 257 Tanaka, M. 130 Tengstrand, A. 82 83 135 Theorem, Bochner — Schwartz — Godement 36 Theorem, de Rham — Wu 21 Theorem, Levi — Maltsev 14 Theorem, Paley — Wiener 51 Theorem, Peter — Weyl 39 Thomas, E.G.F. 39 45 135 Ton-That, T. 254 257 Transform, Abel 51 Transform, Fourier 7 33 43 101 231 Transform, Gelfand — Graev 140 Transform, Jacobi 233 Transform, Kontorovich — Lebedev 234 Transform, Mehler — Fock 232 Transform, Poisson 7 33 101 Transversality condition 31 Tricomi, F. 129 250 Truesdell, C. 257 Tsetlin, M.L. 151 252 Unterberger, A. 6 135 Unterberger, J. 6 135 Uvarov, V.B. 147 255 van den Ban, E.P. 6 32 33 39 44 45 49 52 127 van Dijk, G. 5 6 7 32 39 45 86 96 128 129 131 Vanagas, V.V. 242 259 Varshalovich, D.A. 242 246 257 Vasilev, V.A. 257 Vector, cyclic 34 Vector, indefinitely differentiable 33 Vershik, A.M. 6 135 Vilenkin, N.Ya. 5 7 129 135 147 149 151 153 154 162 164 183 187 191 208 214 217 220 221 236 240 245 247 251 257 258 Vinberg, E.B. 12 135 Vogan, D. 58 135 Vretare, L. 258 Warner, G. 12 26 108 135 258 Weyl, H. 72 135 145 146 258 Wigner d-function 149 Wigner, E.P. 145 258 259 Wilson, J.A. 149 246 249 259 Wilson, R.L. 254 Winternitz, P. 255 Wolf, J.A. 4 21 70 135 Wolf, K.B. 208 212 249 Yucys, A.P. 242 259 Zelevinsky, A.V. 251 257 Zhelobenko, D.P. 5 13 39 52 72 108 135 164 259
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