46 citations · 250 across the 30 of their papers we have counts for
5 papers · 1 filter
Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +2
For certain Sheffer sequences on , Grabiner (1988) proved that, for each , the corresponding Sheffer operator extends…
Generalized Functions in Infinite Dimensional Analysis
Yuri G. Kondratiev, Ludwig Streit, Werner Westerkamp +1
We give a general approach to infinite dimensional non-Gaussian Analysis for measures which need not have a logarithmic derivative. This framework also includes the possibility to…
Differential Geometry on Compound Poisson Space
Yuri Kondratiev, Jose Luis Silva, Ludwig Streit
In this paper we carry out analysis and geometry for a class of infinite dimensional manifolds, namely, compound configuration spaces as a natural generalization of the work \cite{…
Analysis on Poisson and Gamma spaces
Yuri Kondratiev, Jose Luis Silva, Ludwig Streit +1
We study the spaces of Poisson, compound Poisson and Gamma noises as special cases of a general approach to non-Gaussian white noise calculus, see \cite{KSS96}. We use a known unit…
Generalized Appell Systems
Yuri Kondratiev, Jose Luis Silva, Ludwig Streit
We give a general approach to infinite dimensional non-Gaussian analysis which generalizes the work \cite{KSWY95}. For given measure we construct a family of biorthogonal systems.…