2 citations · 2 across the 5 of their papers we have counts for
5 papers
On the orthogonal democratic systems in the spaces
K. S. Kazarian, A. San Antolin
The concept of bidemocratic pair for a Banach space was introduced in \cite{KS:18}. We construct a family of orthonormal systems of functions…
On Parseval wavelet frames via Multiresolution Analyses
A. San Antolin
We give a characterization of all Parseval wavelet frames arising from a given frame multiresolution analysis. As a consequence, we obtain a description of all Parseval wavelet fra…
Decay estimates for nonlinear nonlocal diffusion problems in the whole space
Liviu I. Ignat, Damián Pinasco, Julio D. Rossi +1
In this paper we obtain bounds for the decay rate in the $L^r (\rr^d)$-norm for the solutions to a nonlocal and nolinear evolution equation, namely, $$u_t(x,t) = \int_{\rr^d} K(x,y…
Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space
L. I. Ignat, J. D. Rossi, A. San Antolin
We find lower and upper bounds for the first eigenvalue of a nonlocal diffusion operator of the form $ T(u) = - \int_{\rr^d} K(x,y) (u(y)-u(x)) \, dy$. Here we consider a kernel $K…
Equivalence of A-Approximate Continuity for Self-Adjoint Expansive Linear Maps
Angel San Antolin, Szilárd Gy. Révész
Let A be an expansive linear map from R^d to R^d. The notion of A-approximate continuity was recently used to give a characterization of scaling functions in a multiresolution anal…