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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Gelfand-Shilov spaces, Structural and Kernel theorems

arXiv

Authors: Z. Lozanov--Crvenkovic, D. Perisic, M. Taskovic

Year

2007

Paper ID

49958

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

It was shown recently that the space isomorphic with an Gelfand Shilov space is well adapted for the use in quantum field theory with a fundamental length. It is our believe that all Gelfand Shilov spaces, especially those with quasianalytic test function spaces, are good domains for the quantum field theory. The theory requires technical results from the theory of generalized functions and not merely differential calculus and well defined Fourier transform, but also the kernel theorem and the structural theorem. In the paper we give the structural (regularity) theorem and kernel theorem for Gelfand-Shilov spaces, of Roumieu and Beurling type.

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It was shown recently that the space isomorphic with an Gelfand Shilov space is well adapted for the use in quantum field theory with a fundamental length.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.2268 [2] arXiv https://arxiv.org/abs/0706.2268 [3] Publisher https://arxiv.org/abs/0706.2268

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