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5 papers · 1 filter
Comparison of spaces of Hardy type for the Ornstein-Uhlenbeck operator
A. Carbonaro, G. Mauceri, S. Meda
Denote by g the Gauss measure on R^n and by L the Ornstein-Uhlenbeck operator. In this paper we introduce a local Hardy space h^1(g) of Goldberg type and we compare it with the Har…
Estimates for functions of the Laplacian on manifolds with bounded geometry
G. Mauceri, S. Meda, M. Vallarino
In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature bounded from below and positive injectivity radius. Denote by L the Laplace-Bel…
Frames and Oversampling Formulas for Band Limited Functions
Vincenza Del Prete
In this article we obtain families of frames for the space B_ωof functions with band in [-ω,ω] by using the theory of shift-invariant spaces. Our results are based on the Gramian a…
Vector valued reproducing kernel Hilbert spaces and universality
C. Carmeli, E. De Vito, A. Toigo +1
This paper is devoted to the study of vector valued reproducing kernel Hilbert spaces. We focus on two aspects: vector valued feature maps and universal kernels. In particular we c…
Wavelets in mathematical physics: q-oscillators
Palle E. T. Jorgensen, Anna Paolucci
We construct representations of a q-oscillator algebra by operators on Fock space on positive matrices. They emerge from a multiresolution scaling construction used in wavelet anal…