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math-ph2003★ 18 cited
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…
math-ph2003
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…
math-ph2003★ 23 cited
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…