Far Eastern Mathematical Journal

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On the semigroups of operators Weierstrass and Poisson type


E. V. Degtyareva, N. N. Frolov

2004, issue 2, . 184194


Abstract
In this paper properties of transforms by a Weierstrass and Poisson type are considered. Those transforms are generated of differential problems. In those problems Laplace operators are change on number operators in quantum field theory.

Keywords:
strong continues, semi-groups, bounded linear operators

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References

[1] E'. Xill, Funkcional'nyj analiz i polugruppy, IL, M., 1951, 635 s.
[2] I. Stejn, Singulyarnye integraly i differencial'nye svojstva funkcij, Mir, M., 1973, 342 s.
[3] Yu. A. Klevchixin, N. N. Frolov, Mul'tiplikatory e'rmitovyx razlozhenij v prostranstvax, DV Mat. cb., 2, 1996, 8695.
[4] Spravochnik po special'nym funkciyam, red. M. Abramovic, I. Stigan, Nauka, M., 1979, 830 s.
[5] Yu. M. Berezanskij, Yu. G. Kondrat'ev, Spektral'nye metody v beskonechnomernom analize, Naukova dumka, K., 1988, 680 s.
[6] K. Iosida, Funkcional'nyj analiz, Mir, M., 1967, 624 s.
[7] M. A. Krasnosel'skij, P. P. Zabrejko, E. I. Pustyl'nik , P. E. Sobolevskij, Integral'nye operatory v prostranstvax summiruemyx funkcij, Nauka, M., 1966, 500 s.

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