Quasiasymptotic behavior of Fourier hyperfunctions
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 32-38
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Quasiasymptotics of Fourier hyperfunctions of the class $\vec\Lambda'(\mathscr C)$ is studied with respect to automodel functions, in particular, the connection between the quasiasymptotics and the behaviour of the Laplace transformation in the complex neighbourhood of the zero point.
@article{TMF_1980_43_1_a2,
author = {V. V. Zharinov},
title = {Quasiasymptotic behavior of {Fourier} hyperfunctions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {32--38},
year = {1980},
volume = {43},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a2/}
}
V. V. Zharinov. Quasiasymptotic behavior of Fourier hyperfunctions. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 32-38. http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a2/
[1] B. I. Zavyalov, TMF, 17 (1973), 178
[2] B. I. Zavyalov, TMF, 33 (1977), 310
[3] Yu. N. Drozhzhinov, B. I. Zavyalov, Matem. sb., 102 (144) (1977), 372 ; 108 (150) (1979), 78 | Zbl | MR | Zbl
[4] V. S. Vladimirov, Izv. AN SSSR, ser. matem., 40 (1976), 1084 | MR | Zbl
[5] V. V. Zharinov, TMF, 33 (1977), 291 | Zbl
[6] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, «Nauka», 1964 | MR
[7] H. Komatsu, J. Math. Soc. Japan, 19 (1967), 366 | DOI | MR | Zbl
[8] A. Robertson, V. Robertson, Topologicheskie vektornye prostranstva, «Mir», 1967 | MR | Zbl
[9] T. Kawai, J. Fac. Set Univ. Tokyo, Sec. IA, 17 (1970), 467 | MR | Zbl
[10] V. S. Vladimirov, Obobschennye funktsii v matematicheskoi fizike, «Nauka», 1979 | MR