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Reed M., Simon B. — Methods of Modern mathematical physics (vol. 1) Functional analysis
Reed M., Simon B. — Methods of Modern mathematical physics (vol. 1) Functional analysis



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Название: Methods of Modern mathematical physics (vol. 1) Functional analysis

Авторы: Reed M., Simon B.

Аннотация:

This book is the first оГ a multivolume Scries devoted to an exposition of functional analysis methods in modem mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modem physics, and partial differential equations.


Язык: en

Рубрика: Математика/Математическая Физика/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Revised and Enlarged Edition

Год издания: 1980

Количество страниц: 400

Добавлена в каталог: 01.11.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Stone — Weierstrass theorem, complex      102
Stone's formula      237
Stone's theorem      266 265—267
Strict inductive limit      146—147
Strict solution of a partial differential equation      149
Strictly m-accretive form      281
Strictly m-accretive operator      281
Strictly m-sectorial form      282
Strong (dual) topology      165
Strong graph limit      293
Strong measurability      see “Strongly measurable”
Strong operator topology      182
Strong resolvent sense, convergence in      284 284—291
Strongly analytic      189
Strongly measurable      116
Subnet      97
Support of a distribution      139
Surjective      2
Symmetric operator      255
Symmetric quadratic form      276
Tempered distributions      134
Tensor product of Hilbert spaces      50 49—54
Tensor product of operators      299—302
Thomas — Fermi equations      358
Tietze extension theorem      102—103 121
Topological dual,      129
Topological space      90—91
topology      91
Topology weaker      91
Trace      207 211—212
Trace class      207 207—210
Trotter product formula      295—297 377—382
Trotter — Kato theorem      288
Trotter's theorem,      287
Tube      337
Tube theorems      337 338
Tychonoff's theorem      100 118 351—353
Ultrafilter      352
Uniform boundedness principle      see “Principle of uniform boundedness”
Uniform operator topology      182
Uniformly convex spaces      87—88 174
Unitary operator      39
Universal net      351
Urysohn's lemma      101
Vague topology      114
Von Neumann's theorem      268
Von Neumann's uniqueness theorem      275
Weak derivative      138
Weak graph limit      294
Weak measurability      see “Weakly measurable function”
Weak mixing      239
Weak operator topology      183
Weak solution of partial differential equation      149
Weakly measurable (vector-valued) function      114
Weyl's criterion      237
Weyl's theorem      372
Young's inequality      338
“Eventually”      96
“Frequently”      96
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