Nonunitary representations of $MN(2)$ and the group $ax+b$ and Laplace transformation
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 153-162 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

New formulas are obtained for inverting the Laplace transform of generalized functions of moderate growth (tempered distributions) with supports on the half-axis $[\mu,\infty)$ and in the two-dimensional hyperboloid $\bar V_+^\mu$.
@article{TMF_1979_38_2_a1,
     author = {Yu. M. Zinoviev},
     title = {Nonunitary representations of~$MN(2)$ and the group~$ax+b$ and {Laplace} transformation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {153--162},
     year = {1979},
     volume = {38},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a1/}
}
TY  - JOUR
AU  - Yu. M. Zinoviev
TI  - Nonunitary representations of $MN(2)$ and the group $ax+b$ and Laplace transformation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 153
EP  - 162
VL  - 38
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a1/
LA  - ru
ID  - TMF_1979_38_2_a1
ER  - 
%0 Journal Article
%A Yu. M. Zinoviev
%T Nonunitary representations of $MN(2)$ and the group $ax+b$ and Laplace transformation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 153-162
%V 38
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a1/
%G ru
%F TMF_1979_38_2_a1
Yu. M. Zinoviev. Nonunitary representations of $MN(2)$ and the group $ax+b$ and Laplace transformation. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 153-162. http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a1/

[1] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, «Nauka», 1964 | MR

[2] J. Bros, H. Epstein, V. Glaser, Commun. Math. Phys., 6 (1967), 77 | DOI | MR | Zbl

[3] Yu. M. Zinoviev, Commun. Math. Phys., 47 (1976), 33 | DOI | MR | Zbl

[4] K. Osterwalder, R. Schrader, Commun. Math. Phys., 42 (1975), 281 | DOI | MR | Zbl

[5] S. Ando, J. Math. Kyoto Univ., 14 (1974), 195 | DOI | MR | Zbl

[6] I. M. Gelfand, M. A. Naimark, DAN SSSR, 55 (1947), 571

[7] A. A. Kirillov, Elementy teorii predstavlenii, «Nauka», 1972 | MR

[8] A. G. Zemanyan, Integralnye preobrazovaniya obobschennykh funktsii, «Nauka», 1974 | MR

[9] G. Beitman, A. Erdeii, Vysshie transtsendentnye funktsii, t. 1, «Nauka», 1973 | MR

[10] L. Hörmander, Arkiv Mat., 3 (1958), 555 | DOI | MR | Zbl