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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 123, Number 3, Pages 355–373
DOI: https://doi.org/10.4213/tmf609
(Mi tmf609)
 

This article is cited in 5 scientific papers (total in 5 papers)

Test function space for Wick power series

A. G. Smirnov, M. A. Soloviev

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (329 kB) Citations (5)
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Abstract: We derive a criterion that is convenient for applications and exactly characterizes the test function space on which the operator realization of a given series of Wick powers of a free field is possible. The suggested derivation does not use the assumption that the metric of the state space is positive and can therefore be used in a gauge theory. It is based on the systematic use of the analytic properties of the Hilbert majorant of the indefinite metric and on the application of a suitable theorem on the unconditional convergence of series of boundary values of analytic functions.
Received: 06.12.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 123, Issue 3, Pages 709–725
DOI: https://doi.org/10.1007/BF02551027
Bibliographic databases:
Language: Russian
Citation: A. G. Smirnov, M. A. Soloviev, “Test function space for Wick power series”, TMF, 123:3 (2000), 355–373; Theoret. and Math. Phys., 123:3 (2000), 709–725
Citation in format AMSBIB
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\paper Test function space for Wick power series
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\vol 123
\issue 3
\pages 355--373
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 123
\issue 3
\pages 709--725
\crossref{https://doi.org/10.1007/BF02551027}
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  • https://www.mathnet.ru/eng/tmf609
  • https://doi.org/10.4213/tmf609
  • https://www.mathnet.ru/eng/tmf/v123/i3/p355
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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