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Morimoto M. — Introduction to Sato's hyperfunctions |
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Предметный указатель |
Principal symbol 232
Projection of cone 167
Projection of sheaf 72
Projective limit 245 246
Properly convex set 184
Pseudoconvex set 114
Purely m-codimensional 101
Purely m-codimensional, with respect to on 106
Pyramid 183
Quotient sheaf 73
Real-analytic, function 12
Real-analytic, hyperfunction 47
Real-compact set 31
Real-expression 6
Real-neighborhood 11
Real-valued hyperfunction 49
Reflexive 244
Regular inductive limit 251
Regular point 113
Reinhardt set 6
Relative covering 90
Represent 9
Representative 12
Resolution of sheaf 83
Restriction mapping 47
Restriction mapping, for hyperfunctions 47
Restriction of section 74
Restriction of sheaf 72
Riemann Theorem 29
Riesz theorem 2
Runge, open set 13
Runge, property 13
Runge, theorem 30 31
S.e. Silva-Koethe-Grothendieck theorem 25
S.S.g 58 220
Sato's fundamental theorem 232
Schwartz lemma 151
Section of sheaf 73
Semi-montel space 244
Seminorm 241
Semireflexive 243
Serre lemma 151
Serre theorem 152
Set of convergence 7
Sheaf 71
Sheaf, associated with presheaf 79
Sheaf, homomorphism 72
Sheaf, of -modules 72
Sheaf, of germs of hyperfunctions 158
Sheaf, of germs of micro-analytic hyperfunctions 223
Sheaf, of germs of microfunctions 198 215
| Sheaf, of germs of presheaf 79
Sheaf, of rings 72
Sign function 55
Singular point 113
Singular point, of differential operator 68
Singular spectrum 220
Singular spectrum, of hyperfunction 58
Singular support 48 220
Soft resolution 96
Soft sheaf 95
sp 183 215
Sp g 200
Spacelike 236
Special polyhedron 24 132
Spectral mapping 183 200 215
Spectre 183
Spectre of hyperfunction 200
Stalk of sheaf 72
Standard denning function 167
Standard denning function, of analytic functional 28
Stein-open covering 117
Stein-open set 115
Stein-relative open covering 117
Strict inductive limit 252
Strong topology 243
Strongly plurisubharmonic function 114
Subpresheaf 78
Subsheaf 72
Supp g 48
Supp s 74
Support of hyperfunction 48
Support of section 74
Supporting function of compact set 16
Surface of special polyhedron 132
T(A) 167
Tangent, sphere bundle 168 214
Tangent, vector bundle 214
Timelike 236
Topology 14
Topology of uniform convergence on compact sets 1
Tubular set 167
Vanish at infinity 137
Weak topology 243
Weak* topology 243
Weyl lemma 234
xth cohomology group 90
xth cohomology group of the relative covering 90
xth derivative 50
xth relative cohomology group 87
Zero hyperfunction 45
Zero section 73
Zorn's lemma 81
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