New Generalized Functions and Multiplication of Distributions

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Page iii

Copyright page
Page iv

Dedication
Page v

Foreword
Pages vii-viii

Part I Introduction to the Multiplication of Distributions
Pages 1-4

Chapter 1 A Review of the Classical Heuristic Computations of Quantum Field Theory
Pages 5-30

Chapter 2 A Review of Some Products of Distributions
Pages 31-48

Chapter 3 A General Multiplication of Distributions
Pages 49-77

Part II A Generalized Mathematical Analysis
Pages 79-82

Chapter 4 Concepts of Generalized Functions
Pages 83-133

Chapter 5 Pointvalues of Generalized Functions
Pages 135-153

Chapter 6 Integration of Generalized Functions
Pages 155-180

Chapter 7 Generalized Functions as Boundary Values of Usual C∞ Functions
Pages 181-213

Chapter 8 Holomorphic Generalized Functions
Pages 215-238

Chapter 9 Further Concepts of Generalized Functions: Test Functions in S(Rn)
Pages 239-267

Chapter 10 Further Concepts of Generalized Functions: Unbounded Sets Aq
Pages 269-280

Part III A Mathematical Setting for Quantum Field Theory
Pages 281-283

Chapter 11 Vector Valued Generalized Functions and Free Fields
Pages 285-307

Chapter 12 The Interacting Fields
Pages 309-362

Bibliographic Notes
Pages 363-365

References
Pages 367-369

Index
Pages 371-375