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Publications Influence

Characterization of scaling functions in a multiresolution analysis

- P. Cifuentes, K. Kazarian, A. S. Antolín
- Mathematics
- 19 November 2004

We characterize the scaling functions of a multiresolution analysis in a general context, where instead of the dyadic dilation one considers the dilation given by a fixed linear map A: R n → R n such… Expand

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CHARACTERIZATION OF SCALING FUNCTIONS IN A FRAME MULTIRESOLUTION ANALYSIS IN $H^{2}_{G}$

- K. Kazarian, A. S. Antolín
- Mathematics
- 1 October 2008

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Characterization of low pass filters in a multiresolution analysis

- A. S. Antolín
- Mathematics
- 2009

We characterize the low pass filters associated with scaling functions of a multiresolution analysis in a general context, where instead of the dyadic dilation one considers the dilation given by a… Expand

14 1- PDF

A family of nonseparable scaling functions and compactly supported tight framelets

- A. S. Antolín, R. A. Zalik
- Mathematics
- 15 August 2013

Abstract Given integers b and d , with d > 1 and | b | > 1 , we construct even nonseparable compactly supported refinable functions with dilation factor b that generate multiresolution analyses on L… Expand

6- PDF

Compactly supported Parseval framelets with symmetry associated to matrices

- A. S. Antolín, R. A. Zalik
- Mathematics, Computer Science
- Appl. Math. Comput.
- 15 May 2018

TLDR

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Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space

- L. Ignat, J. Rossi, A. S. Antolín
- Mathematics
- 17 November 2011

Abstract We find lower and upper bounds for the first eigenvalue of a nonlocal diffusion operator of the form T ( u ) = − ∫ R d K ( x , y ) ( u ( y ) − u ( x ) ) d y . Here we consider a kernel K ( x… Expand

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Equivalence of A-Approximate Continuity for Self-Adjoint Expansive Linear Maps

- A. S. Antolín, S. Révész
- Mathematics
- 12 March 2007

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 analysis (MRA). The… Expand

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Decay estimates for nonlinear nonlocal diffusion problems in the whole space

- L. Ignat, Damián Pinasco, J. Rossi, A. S. Antolín
- Mathematics
- 11 July 2012

AbstractIn this paper, we obtain bounds for the decay rate in the Lr (ℝd)-norm for the solutions of a nonlocal and nonlinear evolution equation, namely, $$u_t \left( {x,t} \right) =… Expand

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On translation invariant multiresolution analysis

- A. S. Antolín
- Mathematics
- 18 December 2014

We give a characterization of the scaling functions and low pass filters in a translation invariant multiresolution analysis on L2(R). Our conditions involve the notion of locally non-zero function.… Expand

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On the orthogonal democratic systems in the $L^p$ spaces

- K. Kazarian, A. S. Antolín
- Mathematics
- 31 December 2018

The concept of bidemocratic pair for a Banach space was introduced in \cite{KS:18}. We construct a family of orthonormal systems $\mathfrak{F}_{l},$ $l\in (0,\infty)$ of functions defined on $[-1,1]$… Expand