Geodesic
Poisson Infinite-Dimensional Analysis as an Example of Analysis Related to Generalized Translation Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 3, pp. 65-70.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1998_32_3_a6,
     author = {Yu. M. Berezanskii},
     title = {Poisson {Infinite-Dimensional} {Analysis} as an {Example} of {Analysis} {Related} to {Generalized} {Translation} {Operators}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {65--70},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a6/}
}
TY  - JOUR
AU  - Yu. M. Berezanskii
TI  - Poisson Infinite-Dimensional Analysis as an Example of Analysis Related to Generalized Translation Operators
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1998
SP  - 65
EP  - 70
VL  - 32
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a6/
LA  - ru
ID  - FAA_1998_32_3_a6
ER  - 
%0 Journal Article
%A Yu. M. Berezanskii
%T Poisson Infinite-Dimensional Analysis as an Example of Analysis Related to Generalized Translation Operators
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1998
%P 65-70
%V 32
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a6/
%G ru
%F FAA_1998_32_3_a6
Yu. M. Berezanskii. Poisson Infinite-Dimensional Analysis as an Example of Analysis Related to Generalized Translation Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 3, pp. 65-70. http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a6/

[1] Ito Y., “Generalized Poisson functionals”, Probab. Theory Related Fields, 77 (1988), 1–28 | DOI | MR | Zbl

[2] Ito Y., Kubo I., “Calculus on Gaussian and Poisson white noises”, Nagoya Math. J., 111 (1988), 41–84 | DOI | MR | Zbl

[3] Kondratiev Yu. G., da Silva J. L., Streit L., Us G. F., “Analysis on Poisson and gamma spaces”, Infinite Dim. Anal. Quantum Prob. Related Topics, 1:1 (1998), 91–117 | DOI | MR | Zbl

[4] Berezanskii Yu. M., “Beskonechnomernyi negaussov analiz i operatory obobschennogo sdviga”, Funkts. analiz i ego pril., 30:4 (1996), 61–65 | DOI | MR | Zbl

[5] Berezanskii Yu. M., Ukr. mat. zh., 49:3 (1997), 364–409 | MR

[6] Lytvynov E. W., “Multiple Wiener integrals and non-Gaussian white noises: a Jacobi field approach”, Methods Funct. Anal. Topology, 1:1 (1995), 61–85 | MR | Zbl

[7] Berezansky Yu. M., “Commutative Jacobi fields in Fock space. Dedicated to the memory of Mark Grigorievich Krein (1907–1989)”, Integral Equations Operator Theory, 30:2 (1998), 163–190 | DOI | MR | Zbl

[8] Albeverio S., Kondratiev Yu. G., Röckner M., Analysis and geometry on configuration spaces, Preprint BiBoS, Bielefeld, 1997 | MR

[9] Berezansky Yu. M., Selfadjoint operators in space of functions of infinitely many variables, AMS, Providence, RI, 1986 | MR