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Multiplications of Distributions in One Dimension and a First Application to Quantum Field Theory

Multiplications of distributions in one dimension and a first application to quantum field theory
Authors: Bagarello, F.;

Multiplications of Distributions in One Dimension and a First Application to Quantum Field Theory

Abstract

In a previous paper we have introduced a class of multiplications of distributions in one dimension. Here we furnish different generalizations of the original definition and we discuss some applications of these procedures to the multiplication of delta functions and to quantum field theory.

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Keywords

Distributions and ultradistributions as boundary values of analytic functions, Applied Mathematics, FOS: Physical sciences, Model quantum field theories, Mathematical Physics (math-ph), Operations with distributions and generalized functions, multiplication of distributions, quatum field model, Applications of functional analysis in quantum physics, Constructive quantum field theory, free \(1+1\) Klein-Gordon theory, Analysis, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Average
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hybrid
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