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Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета
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| Von Grudzinski O. - Quasihomogeneous distributions |
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| Предметный указатель |
 order deficiency 40 93
 -invariant 111 112 114
(Almost) invariant 338
(LF)-space 224 229
(M,l)-bounded in X 126
(M,l)-bounded subset of X 118 125
(M,l)-bounded subset of X, weakly 234
(M,l)-temperate 247
Almost quasihomogeneous, distribution 93
Almost quasihomogeneous, extension 43
Almost quasihomogeneous, function 25 39
Almost quasihomogeneous, order 39 93
Almost quasihomogeneous, polynomial 25
Analytic singular support 339 348
Analytic wave front set 82 100 419
Basis, dual basis 14 30
Basis, real basis 6 14
Basis, real-complex basis 20 30
Bernstein's fundamental solution 92 104 330
Bipolar theorem 296
Complex structure on V 4
Complex structure on V* 30
Complexificatlon 385
Conormal bundle 83
Contraction 67
Convention 1.24* 30
Conventions 1.24.A&B 20 23
Coordinates, pseudo-real coordinates 20
Coordinates, quasihomogeneous polar coordinates 1 8 67
Coordinates, real-complex coordinates on V 1 20
Coordinates, real-complex coordinates on V* 30
Copolynomial function 14 15
Cotangent bundle 14 82
Deficiency 40 93 96
Degree 13 25 77 93
Degree  16 17
Degree  14 15
Differential operator 15
Dirac distribution 77 260 300
Division theorem 167 169
Dual basis 14 30
Duality bracket 179 280 282 294 362-364
Eigenspace 5
Eigenspace, generalized 4 5
Euler equation 19 75 79 80
Euler equation, generalized 75 96
Euler equation, inhomogeneous 153 168 276
Euler operator with respect to M 18
Euler operator with respect to M, transposed 80
Extension 43 78 364 365 371 376
Fourier, inversion formula 84 85
Fourier, representation formula 409 424
Fourier, transform 84
Fourier, transform of  353 382
Frechet space 84 183 219 224 227
Frechet - Schwartz space 225 230
Functional equation 181 194
Fundamental solution 317 325 327 328 330 338 340 417-421
Fundamental solution, Bernstein's 92 104 330
G-invariant 111
Generalized eigenspace 4 5
Growth conditions 181 216 218
Haar measure 111 112
Heat operator 327 328 338 417
Hypoelliptic 104 340
Infinitesimal generator 1
| Invariant of degree m 338
Jordan canonical form 23
Laplacian 327
Laurent coefficient 88
Laurent series 88
Left-invariant Haar measure 111
Leibniz rule 22 31
Linear manifold 14
Locally convex topologies 179 180 224 225 227-230 294
Locally M-bounded 135 139-142 145
M-bounded subset of X 118
M-bounded subset of X, weakly 234
M-connected 62 136 140 141
M-temperate 234
Meromorphic function 88 105
Nuclear (S)-space 224 229
Nuclear Frechet - Schwartz space 225 230
Order  25 93
Order of h 88
Outward normal unit vector 69
Paley - Wiener theorem 384 410 425
Partial Fourier transform 339 426
Polar set 294 302
Poles of h 88
Quasihomogeneity order 93
Quasihomogeneous, average 117 118 153 154 181 242
Quasihomogeneous, continuation 174 175 355
Quasihomogeneous, distribution 77
Quasihomogeneous, extension 78
Quasihomogeneous, function 13
Quasihomogeneous, hull 42
Quasihomogeneous, hull (of type M) at infinity 407
Quasihomogeneous, part 20 25 101 102 201
Quasihomogeneous, polar coordinates 67
Quasihomogeneous, principal part 390 404
Quasihomogeneous, ray 8 18 171 383
Quasihomogeneous, set 42
Quasihomogeneous, wave front set 383 384 400
Real matrix 6
Real spectrum 4
Representation 1 12
Riesz isomorphism 84
Rotation 142
Scalar product on V 2
Scalar product on V* 84
Schroedinger operator 330 338 417
Semi-norms 171 224 225 227 230
Semi-simple 25
Semi-simple part 307 323
Singular support 79 97 99 170 348 389 403
Solvability condition 286 287 320
Spectral projection 5 6 385
Support 79 97 99 123 155 171 186 194 216 222 229 243
Supporting function 385
Tangent space 47
Taylor's formula 21
Temperate distribution 84
Topological dual 180 280 282
Torus 9
Type M 13 25 42 77 93
Type p 13
Wave operator 330 331
Weak homomorphism 295
Weak topology 171
Weakly (M,l)-bounded 234
Weakly M-bounded 234
Weight function 118 182 183
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