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| Rudin W. — Functional analysis |
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| Предметный указатель |
Spectrum, of differential operator 365
Spectrum, of self-adjoint operator 310 348
Spectrum, of unitary operator 310
Spectrum, point 247 312 325
Spectrum, residual 325
Square root 278 314 349
Stone — Weierstrass theorem 115 377
Stone, Marshall H. 373 374 382
Stout, Edgar Lee 380
Strong topology 64n.
Strongly holomorphic function 78
Subadditivity 24
Subbase 27
Subbase theorem 368
subspace 6
Subspace, complemented 100
Subspace, translation-invariant 211
Subspace, uncomplemented 125 130
Support 33
Support function 374
Support, of a distribution 149
Surrounding contour 241
Symbolic calculus 240 278 309
Symmetric involution 285
Symmetric neighborhood 9
Symmetric operator 110 331
Tauber, A. 208 378
Tauberian condition 208
Tauberian theorem 208
Tauberian theorem, Ingham's 215
Tauberian theorem, Littlewood's 222
Tauberian theorem, Pitt's 212
Tauberian theorem, Wiener's 210 211
Taylor, Angus E. 374 375
Taylor, Joseph L. 380
Tempered distribution 174
Test function space 136
Test function space, topology of 137
Topological divisor of zero 259
Topological group 122
Topological space 6
topology 6
Topology, compact 61 368
Topology, compatible 7
Topology, Hausdorff 7 61
Topology, inherited 7
Topology, invariant 8
Topology, metrizable 17
Topology, norm 4
Topology, original 63
Topology, strong 64/i.
Topology, stronger 60
| Topology, weak 63
Topology, weak* 66
Topology, weaker 60
Torus 193
Totally bounded set 71 72 369
Totally disconnected space 370
Totally ordered set 367
Transformation see “Mapping” “Operator”
translate 8 122 154
Translate, of a distribution 156
Translation operator 8
Translation-invariant subspace 211
Translation-invariant topology 8
Treves, Francois 374
Tychonoff, A. 383
Tychonoffs theorem 61 368
Uhl, J. Jerry 377
Uniform boundedness principle 43
Uniform continuity 14 122
Uniformly convex space 327 382
Unit ball 4
Unit element 227 228
Unitary operator 298
Unitary space 292
Vector space 5
Vector space, complex 5
Vector space, real 5
Vector space, topological 7
Vector space, topological, locally bounded 8
Vector space, topological, locally compact 8
Vector space, topological, locally convex 8
Vector space, topological, metrizable 8
Vector space, topological, normable 8
Vector topology 7
Veech, William A. 377
Volterra, Vito 372
Weak closure 64
Weak neighborhood 64
Weak sequential closure 83
Weak topology 63
weak*-topology 66
Weakly bounded set 64
weakly convergent sequence 64
Weakly holomorphic function 78
Wielandt, Helmut W. 332 382
Wiener's lemma 266
Wiener's Theorem 210 211
Wiener, Norbert 372—374 379
Williamson, John H. 376
Wintner, Aurel 382
Yood, Bertram 381 382
Zelazko, W. 233 379
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