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Abstract. We describe the valuation theoretic properties of the Hardy fields associated to models of \(T(\exp)\), where T is the theory of a polynomially bounded o-minimal expansion of the reals and \(\exp\) is the real exponential function. We deduce that \(T(\exp)\) has levels with parameters...
The unification of the boolean and the tensor product of quantum probability spaces given by Lenczewski [Len98] is modified to include the monotone product and its mirror image, the anti-monotone product, and used to reduce the theories of boolean, monotone, and anti-monotone Lévy processes on...
We will derive a new discreteness condition for n-dimensional Möbius subgroups as well as obtain some results concerning classification of such groups. We will also discuss dense subgroups of n-dimensional Möbius groups. The main result is that any dense group of an n-dimensional Möbius group...
We describe the spectrum of a non-self-adjoint elliptic system on a finite interval. Under certain conditions we find that the eigenvalues form a discrete set and converge asymptotically at infinity to one of several straight lines. The eigenfunctions need not generate a basis of the relevant...
We give a version of Shimizu's lemma for groups of complex hyperbolic isometries one of whose generators is a Heisenberg screw motion. Our main result interpolates between known results for groups with a generator that is a vertical translation or a Heisenberg rotation. We also give an...
Our purpose is twofold. We give the heat semi-group characterization of spaces of Besov and Triebel-Lizorkin types defined on Riemannian manifolds of bounded geometry. Moreover we study boundedness and compactness of Sobolev embeddings of the spaces in presence of symmetries. To make it possible...
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