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.
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
\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://mathscinet.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}
Linking options:
https://www.mathnet.ru/eng/tmf3501
https://www.mathnet.ru/eng/tmf/v15/i1/p3
This publication is cited in the following 9 articles:
M. A. Soloviev, “Spaces of Type $S$ as Topological Algebras under Twisted Convolution and Star Product”, Proc. Steklov Inst. Math., 306 (2019), 220–241
M. A. Soloviev, “Lorentz-Covariant Ultradistributions, Hyperfunctions, and Analytic Functionals”, Theoret. and Math. Phys., 128:3 (2001), 1252–1270
M. A. Soloviev, “PCT, spin and statistics, and analytic wave front set”, Theoret. and Math. Phys., 121:1 (1999), 1377–1396
R. S. Pathak, A. C. Paul, “Continuation of functionals on ultradifferentiable function spaces”, Analysis Mathematica, 21:3 (1995), 177
Theoret. and Math. Phys., 93:3 (1992), 1438–1449
M. A. Soloviev, “Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory”, Theoret. and Math. Phys., 52:3 (1982), 854–862
V. I. Lazur, I. V. Khimich, “Weak interactions and dispersion relations”, Theoret. and Math. Phys., 48:2 (1981), 708–714
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, Theoret. and Math. Phys., 33:3 (1977), 1027–1039
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
Citation in format AMSBIB
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