23 citations · 44 across the 6 of their papers we have counts for
6 papers
Generalized Functionals in Gaussian Spaces - The Characterization Theorem Revisited
Yu. G. Kondratiev, P. Leukert, J. Potthoff +2
Gel'fand triples of test and generalized functionals in Gaussian spaces are constructed and characterized.
More About Donsker's Delta Function
Angelika Lascheck, Peter Leukert, Ludwig Streit +1
We discuss Donsker's delta function within the framework of White Noise Analysis, in particular its extension to complex arguments. With a view towards applications to quantum phys…
The Feynman Integrand for the Perturbed Harmonic Oscillator as a Hida Distribution
Mario Cunha, Custodia Drumond, Peter Leukert +2
We review some basic notions and results of White Noise Analysis that are used in the construction of the Feynman integrand as a generalized White Noise functional. We show that th…
Recent Results in Infinite Dimensional Analysis and Applications to Feynman Integrals
Werner Westerkamp
The first part of this thesis proposes a general approach to infinite dimensional non-Gaussian analysis, including the Poissonian case. In particular distribution theory is develop…
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…
A Note on Positive Distributions in Gaussian Analysis
Yuri G. Kondratiev, Ludwig Streit, Werner Westerkamp
We describe positive generalized functionals in Gaussian Analysis. We focus on distribution spaces larger than the space of Hida Distributions. It is shown that a positive distribu…