Faraut J., Korányi A. — Analysis on symmetric cones :: Электронная библиотека попечительского совета мехмата МГУ

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Faraut J., Korányi A. — Analysis on symmetric cones

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Название: Analysis on symmetric cones

Авторы: Faraut J., Korányi A.

Аннотация:

Gives self contained exposition of the geometry of symmetric cones, and develops analysis on these cones and on the complex tube domains associated with them.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 382

Добавлена в каталог: 16.07.2005

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Предметный указатель

Albert (algebra of)      88
Antiholomorphic      163
Associative (bilinear form)      37
Associator      49 83
Automorphism      36
Automorphism group      4
Bergman kernel      167
Bergman space      167
Bergman — shilov boundary      183
Bernstein polynomial      125
Bessel function      320
beta function      130
C-function      311
Cauchy — Szego kernel      180
Cayley transform      190
Cayley — dickson extension      84
Centre      155
Characteristic function      10
Closed dual cone      1
Compact, non-compact (root)      212
Complete (system of idempotents)      43
Complexification      144
Cone      1
Conical (polynomial)      224
Conjugation      144 155
Convex      1
Convex cone      1
Derivation      35
Determinant      29
Eigenvalue      43 150
Eigenvector      150
Euclidean (hurwitz algebra)      81
Euclidean (jordan algebra)      42
Extremal generators (of a convex cone)      73
Factor of automorphy      276
Fischer inner product      220
Flat face      79
Formally real (jordan algebra)      42
Frobenius transformation      106
Gamma function      123
Gauss decomposition      100
Gauss hypergeometric function      329
Gradient      13
Hankel transform (generalized)      351
Hardy space      178 269 270
Hermitian metric      168
Holomorphic      163
Holomorphic automorphism      187
Holomorphic isomorphism      187
Homogeneous (cone)      4
Homogeneous (domain)      187
Hua operator      276 277
Hurwitz algebra      81
Hyperbolic rotation      7
Hypergeometric function      318
Idempotent      43
Inner derivation      37
Inverse      30
Invertible      30
Irreducible (symmetric cone)      54
J-structure      161
Jordan algebra      24

Jordan frame      44
Jordan product      24 87
Jordan triple system      218
K-bessel function (generalized)      355
Laguerre function (generalized)      343
Laguerre polynomial (generalized)      343
Laplace — Beltrami operator      116
Laurent series      249
Lie ball      216
Lorentz cone      7
Minimal polynomial      28
Mutation      41
Nilpotent (element)      152
Open dual cone      4
Orthogonal (idempotent)      43
Peirce decomposition      62
Poisson integral      183 278
Poisson kernel      181 270
Polar decomposition      102
Positive (quadratic form)      9
Positive definite (quadratic form)      9
Positive type      136 171
Power associative (algebra)      26
Power function      122
Primitive (idempotent)      44
Principal minor      114
Proper (cone)      1
Quadratic jordan algebra      40
Quadratic representation      32
Rank      28 72
Real form      155
Real part (of an element in hurwitz algebra)      82
Reductive (Lie algebra)      155
Regular (element)      28
Regular (submanifold)      164
Reinhardt domain of convergence      242
Representation (of a Jordan algebra)      74
Reproducing kernel      164
Riemannian symmetric space      16
Riesz integral      132
Self-adjoint (representation)      74
Self-dual      4
Semi-simple (element)      152
Semi-simple (jordan algebra)      146
Shilov boundary      202
Siegel integral      142
Spherical Fourier transform      308
Spherical function      303
Spherical polynomial      228
Spherical taylor formula      244
Spherical taylor series      240
Stabilizer      5
Strongly orthogonal (root)      212
Structure group      147
Symmetric (cone)      4
Symmetric (domain)      187
Trace      29
Triangular subgroup      110
Triangular subgroup (strict)      111
Wallach set      137 264
Wishart distribution      349
Zeta integral      359
Zonal polynomial      234

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