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| Treves F. — Topological Vector Spaces, Distributions And Kernels |
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| Предметный указатель |
Restriction of distributions, of functions 245 246
Runge domain 152
Salient cone 193
Scalarly differentiable 377
Scalarly measurable 471
Schwarz (also, Cauchy — Schwarz) inequality 114
Self-adjoint 121 488
Semiglobally solvable 392
Seminorms 59
Seminorms, defining topology 63
Semireflexive space 372
Semiregular kernel 532
Separable spaces 111 125 550
Separated 189
Separately continuous 352 420
Sequence of definition of LF-space 126
Sequences 101
Sequentially complete 38 74
Sesquilinear form 60 112
Slowly growing (also, increasing) function 275
Slowly growing sequence 527
Smoothing 302
Sobolev space 322
Souslin space 551
Space of distributions 244
Spectral decomposition 492
Sterling's formula 234
Strict inductive limit 126
Strictly separated 189
Strong (also, strong dual) topology 198
Stronger than 95
Subadditive 59
Subordinated (partition of unity subordinated to covering) 164
Summable sequence 456
Supplementary, algebraic 36
Supplementary, topological 36 543
Support of distribution 255
Support of function 104
Surjective 17
Swallow (to) 21 136
Symmetry with respect to origin 291
Temperate, tempered 272
| Tensor product of distributions 417
Tensor product of functions 407
Tensor product of mappings 406
Tensor product of seminorms 398 435
Tensor product of vector spaces 403
Test functions 130 132
Topological direct sum 36 84
Topological ring 27
Topological space 6
Topological vector space (also, TVS) 20
topology 8
Topology of bounded convergence 198 337
Topology of compact convergence 198 337
Topology of convex compact convergence 197 337
Topology of pointwise convergence 29 337
Topology of uniform convergence 98
Topology of uniform convergence on compact sets 86
total 337
Trace form 485
Trace norm 479
Trace of filter 39
Trace of operator 491
Translation of distribution, of function 296
Translation-invariant metric 70
Transpose of linear map 199 240
Triangular inequality 61 70
Trivial topology 9
Two-sided fundamental kernel 537
Tychonoff's theorem 56 342
Ultrafilter 54
Uniform boundedness (principle of) 335
Uniformly continuous 39
Unit semiball 61
Universal property (of tensor product) 404
Upper integral 99
Value at point 200 361
Vanishing of distribution 253
Vector addition 14
Vector space 14
Very regular kernel 536
Weak dual, weak topology 197
Weakly continuous 454
Weierstrass — Bolzano theorem 51
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