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 TMF, 1973, Volume 15, Number 1, Pages 3–19 (Mi tmf3501)

On the Fourier–Laplace transformation of generalized functions

M. A. Soloviev

Abstract: With a view to applications to unrenormalizable and nonlocalizable field theories, a study is made of the Fourier–Laplace transformation of functionals in test-function spaces of the type $S$.

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English version:
Theoretical and Mathematical Physics, 1973, 15:1, 317–328

Bibliographic databases:

Citation: M. A. Soloviev, “On the Fourier–Laplace transformation of generalized functions”, TMF, 15:1 (1973), 3–19; Theoret. and Math. Phys., 15:1 (1973), 317–328

Citation in format AMSBIB
\Bibitem{Sol73}
\by M.~A.~Soloviev
\paper On the Fourier--Laplace transformation of generalized functions
\jour TMF
\yr 1973
\vol 15
\issue 1
\pages 3--19
\mathnet{http://mi.mathnet.ru/tmf3501}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=473814}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 15
\issue 1
\pages 317--328
\crossref{https://doi.org/10.1007/BF01028260}

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. G. D. Romanko, I. V. Khimich, “Fourier transformation of a class of hyperfunctions and formulation of the condition of local commutativity in the framework of localizable quantum field theory in terms of hyperfunctions”, Theoret. and Math. Phys., 23:2 (1975), 451–461
2. V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, Theoret. and Math. Phys., 33:3 (1977), 1027–1039
3. V. I. Lazur, I. V. Khimich, “Weak interactions and dispersion relations”, Theoret. and Math. Phys., 48:2 (1981), 708–714
4. M. A. Soloviev, “Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory”, Theoret. and Math. Phys., 52:3 (1982), 854–862
5. Theoret. and Math. Phys., 93:3 (1992), 1438–1449
6. M. A. Soloviev, “PCT, spin and statistics, and analytic wave front set”, Theoret. and Math. Phys., 121:1 (1999), 1377–1396
7. M. A. Soloviev, “Lorentz-Covariant Ultradistributions, Hyperfunctions, and Analytic Functionals”, Theoret. and Math. Phys., 128:3 (2001), 1252–1270
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