Quasi-distributions in functional spaces connected with evolution differential equations. (Russian) Zbl 0629.46042

Daletskij, Yu. L.; Pipia, G. M.

Teor. Veroyatn. Mat. Stat. 36, 37-45 (1987).

In the present paper, the authors consider quasi-measures which are generated by fundamental solutions of evolution differential equations of parabolic or Schrödinger type. A quasi-integral for a class of cylindrical functions is constructed, and a transformation of quasi- measure is obtained that generates a quasi-distribution which is most a quasi-measure.

Reviewer: P.C.Sinha

MSC:

46F25	Distributions on infinite-dimensional spaces
46G12	Measures and integration on abstract linear spaces
35G10	Initial value problems for linear higher-order PDEs
35K25	Higher-order parabolic equations
58D25	Equations in function spaces; evolution equations

Keywords:

quasi-measures which are generated by fundamental solutions of evolution differential equations of parabolic or Schrödinger type; quasi- integral; cylindrical functions; transformation of quasi-measure; quasi- distribution