1 - 9 of 9 articles
Abstract Given a Clifford algebra of arbitrary signature ℓ p,q , p + q = n , multiplicative random walks with dynamic transitions are induced by sequences of random variables taking values in the unit basis vectors and paravectors of the algebra. These walks can be viewed as random walks on...
Abstract Martingale characterizations and the related martingale problem are studied for increments processes with values in a commutative hypergroup. For the proofs Fourier theory is applied for the convolution hemigroups associated with the increment processes.
Abstract The flag curvature of the Numata Finsler structures is shown to admit a nontrivial prolongation to the one-dimensional case, revealing an unexpected link with the Schwarzian derivative of the diffeomorphisms associated with these Finsler structures.
Abstract This paper is concerned with domination relations between powers of subelliptic pseudo-differential operators. Take L 1 , L 2 two subelliptic second order pseudodifferential operators, where the subellipticity condition is expressed in terms of Sobolev norms related to a metric g and...
Abstract We study non-linear integrable partial differential equations naturally arising as bi-Hamiltonian Euler equations related to the looped cotangent Virasoro algebra. This infinite-dimensional Lie algebra (constructed in (Ovsienko and Roger, Commun. Math. Phys. 273: 357–378, 2007)) is a...
Abstract Explicit harmonic Robin functions are given for the unit disk and a circular ring of the complex plane. The related Robin problems are explicitly solved.
Abstract We prove Beurling's theorem and L p – L q Morgan's theorem for Damek–Ricci spaces. These two theorems exhaust a family of theorems which illustrate a well-known paradigm that a function and its Fourier transform cannot be simultaneously localized.
Abstract In this paper we derive and study a nonlinear boundary integral equation for calculating the boundary value of the conformal mapping from a starlike simply connected region G onto another starlike simply connected region Ω. The integral equation can be interpreted as a generalization of...
Abstract In this paper we give bounds on the least eigenvalue of the conformal Laplacian and the Yamabe invariant of a compact Riemannian manifold in terms of the Ricci curvature and the diameter and deduce a sufficient condition for the manifold to be conformally equivalent to a sphere.
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