New generalized functions and multiplication of distributions
This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasi...
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Format:  eBook 
Language:  English 
Published: 
Amsterdam
NorthHolland
1984, 1984

Series:  NorthHolland mathematics studies

Subjects:  
Online Access:  
Collection:  Elsevier eBook collection Mathematics  Collection details see MPG.ReNa 
Table of Contents:
 Part 1 : Introduction to the multiplication of distributions. A review of the classical heuristic computations of quantum field theory ; A review of some products of distributions ; A general multiplication of distributions
 A generalized mathematical analysis. Concepts of generalized functions ; Pointvalues of generalized functions ; Integration of generalized functions ; Generalized functions as boundary values of usual C[superscript infinity] functions ; Holomorphic generalized functions ; Further concepts of generalized functions : test functions in S'(IR[superscript n]) ; Further concepts of generalized functions : unbounded sets A[subscript q]
 Part 3 : A mathematical setting for quantum field theory. Vector valued generalized functions and free fields ; The interacting fields
 Includes bibliographical references (pages 367369) and index