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We define an extension of the distribution spaces conventionally used in Gaussian analysis. This space, characterized by analytic properties of S-transforms, allows for a calculus based on the Wick product. We indicate some of its features.
Generalised matrix elements of the irreducible representations of the quantum SU(2) group are defined using certain orthonormal bases of the representation space. The generalised matrix elements are relatively infinitesimal invariant with respect to Lie algebra like elements of the quantised...
We develop perturbation theory of generators of sub-markovian semigroups by relatively form-bounded perturbations. The L
p-smoothing properties of semigroups and the uniqueness problem are considered. Applications to operators of mathematical physics are given.
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