Spis treści: Quasi-Invariant and Pseudo-Differentiable Measures in Banach Spaces


Preface, s. vii
Acknowledgement, s. x
Notation, s. xi

1    Real-Valued Measures, s. 1

1.1.    Introduction, s. 1
1.2.    Distributions and Families of Measures, s. 3
1.3.    Quasi-invariant Measures, s. 28
1.4.    Pseudo-differentiable Measures, s. 57
1.5.    Convergence of Measures, s. 67
1.6.    Measures with Particular Properties, s. 73
1.7.    Comments, s. 86

2    Non-Archimedean Valued Measures, s. 91

2.1.    Introduction, s. 91
2.2.   Non-Archimedean Valued Distributions, s. 92
2.3.    Quasi-invariant Ks-Valued Measures, s. 109
2.4.    Pseudo-differentiable Ks-Valued Measures, s. 121
2.5.    Convergence of Ks-Valued Measures, s. 124
2.6.    Measures with Particular Properties, s. 128
2.7.    Comments, s. 140

3    Algebras of Real Measures on Groups, s. 143

3.1.    Introduction, s. 143
3.2.    Algebras of Measures and Functions, s. 143
3.3.    Comments, s. 152

4    Algebras of Non-Archimedean Measures on Groups, s. 153

4.1.   Introduction, s. 153
4.2.    Algebras of Measures and Functions, s. 153
4.3.    Comments, s. 162

A   Operators in Banach Spaces, s. 173
B   Non-Archimedean Polyhedral Expansions, s. 179
B.l.  Ultra-uniform Spaces, s. 179
B.2.  Polyhedral Expansions, s. 184
References, s. 191
Index, s. 199

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