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Vector-valued multipliers: convolution with operator-valued measures

Seria
Rozprawy Matematyczne tom/nr w serii: 385 wydano: 2000
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Abstrakty
EN

CONTENTS
Preface.........................................................................................................5
1. Introduction...............................................................................................6
  1.1. Measurability and vector measures.....................................................6
  1.2. Convolution and vector measures.....................................................12
  1.3. Operator-valued measures................................................................14
2. Harmonic analysis....................................................................................17
  2.1. Commutative harmonic analysis for vector-valued functions...............17
3. Convolution with respect to operator-valued measures...........................24
  3.1. General theory....................................................................................24
  3.2. Vector-valued p-multipliers..................................................................28
  3.3. Characterising operator-valued Fourier-Stieltjes transforms..............44
  3.4. Strong 1-multipliers.............................................................................47
  3.5. Locally compact groups in general: Wendel's theorem.......................54
  3.6. Costé's theorem..................................................................................57
4. Convolution with respect to spectral measures........................................60
  4.1. General theory....................................................................................60
  4.2. Translation: the canonical spectral measure on L²(G)........................65
  4.3. Applications........................................................................................72
References..................................................................................................74
Index............................................................................................................76
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 385
Liczba stron
77
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCCLXXXV
Daty
wydano
2000
otrzymano
1999-03-08
poprawiono
1999-10-19
Twórcy
autor
autor
Bibliografia
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Języki publikacji
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Uwagi
2000 Mathematics Subject Classification: Primary 46G10, 42B15; Secondary 43A15, 43A05.
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