Wawrzynczyk A. — Group representations and special functions :: Электронная библиотека попечительского совета мехмата МГУ

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Wawrzynczyk A. — Group representations and special functions

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Название: Group representations and special functions

Автор: Wawrzynczyk A.

Аннотация:

This book in the MIA (East European) Series is precisely about special functions in their relation to analysis on homogeneous spaces, and is designed for students and researchers in one of the many fields where special functions are useful (such as, e.g., representation theory, mathematical physics, harmonic analysis).

Язык:

Рубрика: Математика/Симметрия и группы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 687

Добавлена в каталог: 05.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Orbit      6
Palais, R.S.      56
Paley — Wiener theorem      157 642 643
Papperitz      451
Parallel translate of a vector      493
Pauli matrices      295 310
Peter — Weyl theory      185
Plancherel formula      166 302 557
Plancherel measure      152 557
Plancherel theorem      154
Plane wave      403 606
Poisson formula      615
Poisson kernel      615
Poisson summation formula      164 668
Pontriagin duality      165
Pontriagin, L.      164
Poulsen, N.S.      133
Product, direct      8
Product, Hilbert tensor      179
Product, semidirect      8
Projective space      14 19 55
Pseudohamiltonian structure      64
Radon transformation      631 634
Radon transformation dual      638
Raikov, D.A.      122
Representation (s), adjoint      59
Representation (s), adjoint of an algebra      89
Representation (s), Borgman      425
Representation (s), character of      192
Representation (s), continuous      97
Representation (s), contragredient      23—112 113
Representation (s), differential of      131
Representation (s), discrete series      111
Representation (s), disjoint      144
Representation (s), equivalent      115
Representation (s), factor      193
Representation(s) induced in the sense of Bruhat      107
Representation(s) induced in the sense of Mackey      106
Representation(s) of $L^{2}$ type      188
Representation(s) of a convolution algebra      129
Representation(s), $\ast$ (star)      102—138
Representation(s), $\chi$ -spherical      208
Representation(s), faithful      92 206
Representation(s), formal dimension of      190
Representation(s), Hilbert product of      180
Representation(s), inclusion of      115
Representation(s), infinitesimal      131
Representation(s), irreducible      142
Representation(s), left regular      98
Representation(s), matrix element of      125
Representation(s), multiplier      108
Representation(s), partially continuous      97
Representation(s), reducible      142
Representation(s), restriction of      103
Representation(s), Schrodinger      133
Representation(s), square integrable      188
Representation(s), sum of      111
Representation(s), tensor product of      112
Representation(s), unitary      101
Representation(s), unitary decomposition theorem for      151
Representation(s), unitary of a convolution algebra      129
Riemann $\xi$ -function      253—647

Riemann P-equation      451
Riemann pair      537
Root      567
Root, reduced      577
Schlafli integral      316
Schur's lemma      143
Schur, J.      173
Schwartz functions      166
Schwartz space      153
Siegel half-plane      226
Smooth vector of a representation      131
Spherical equation      208
Structural equations      490
Subgroups      4
Subgroups, conjugate      14
Subgroups, Lie      42
Subgroups, normal      6
Submanifold      32
Symmetric pair      224
Symmetric space      225 517
Symmetric space, boundary of      586
Symmetric space, of compact type      539
Symmetric space, of Euclidean type      539
Symmetric space, of non-compact type      539
Symmetric space, rank of      590
Symmetric space, Riemannian      537
Symmetry rules for $P^{l}_{fk}$       287
Takanashi, R.      371 613
Talemann, J.D.      242
Tangent mapping      29
Tchebyshev equation      469
Tchebyshev polynomials      384
Theorem on transitive      54
Torsion form      489
Torus      31
Transformation group, Lie      53
Transformation group, one-parameter      32
Translation, left (right)      14
van Kampen      164
Vector field (s)      25—146
Vector field (s), $\varphi$ -related      30
Vector field (s), basis      22
Vector field (s), complete      33—34 56
Vector field (s), integral curve of      32
Vector field (s), invariant      31—44
Vector field (s), measurable      147
Vector field (s), normal      68
Vector, cyclic      122
Vector, horizontal      484
Vector, tangent      19
Vector, vertical      478
Vilenkin, N.Ya.      326
Volume element      69
von Neumann, J.      71 75 141 146 151
Warner, G.      107 116 129
Wawrzynczyk, A.      166
Weber differential equation      467
Weil, A.      71 75 103 142
Weyl approximation theorem      197
Weyl chamber      577
Weyl, H.      173 207
Wigner, E.      241

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