Search Results - "MOLTER, URSULA"
-
1
Furstenberg sets for a fractal set of directions
Published in Proceedings of the American Mathematical Society (01-08-2012)“…In this paper we study the behavior of the size of Furstenberg sets with respect to the size of the set of directions defining it. For any pair \alpha ,\beta…”
Get full text
Journal Article -
2
CLASSIFYING CANTOR SETS BY THEIR FRACTAL DIMENSIONS
Published in Proceedings of the American Mathematical Society (01-11-2010)“…In this article we study Cantor sets defined by monotone sequences, in the sense of Besicovich and Taylor. We classify these Cantor sets in terms of their…”
Get full text
Journal Article -
3
Countable contraction mappings in metric spaces: invariant sets and measure
Published in Open mathematics (Warsaw, Poland) (2014)Get full text
Journal Article -
4
Dimension functions of Cantor sets
Published in Proceedings of the American Mathematical Society (01-10-2007)“…We estimate the packing measure of Cantor sets associated to non-increasing sequences through their decay. This result, dual to one obtained by Besicovitch and…”
Get full text
Journal Article -
5
Learning the model from the data
Published in Revista de la Unión Matemática Argentina (1968) (21-09-2023)Get full text
Journal Article -
6
Generalized 2-Microlocal Frontier Prescription
Published in The Journal of fourier analysis and applications (01-12-2020)“…The characterization of local regularity is a fundamental issue in signal and image processing, since it contains relevant information about the underlying…”
Get full text
Journal Article -
7
On the Hausdorff h-measure of cantor sets
Published in Pacific journal of mathematics (01-11-2004)Get full text
Journal Article -
8
Dynamical sampling on finite index sets
Published in Journal d'analyse mathématique (Jerusalem) (01-03-2020)“…We consider bounded operators A acting iteratively on a finite set of vectors { f i : i ∈ I } in a Hilbert space ℌ and address the problem of providing…”
Get full text
Journal Article -
9
Local bases for refinable spaces
Published in Proceedings of the American Mathematical Society (01-06-2006)“…We provide a new representation of a refinable shift invariant space with a compactly supported generator, in terms of functions with a special property of…”
Get full text
Journal Article -
10
Continuous and discrete dynamical sampling
Published in Journal of mathematical analysis and applications (15-07-2021)“…In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space H. We find necessary and sufficient conditions on…”
Get full text
Journal Article -
11
Optimal non-linear models
Published in Revista de la Unión Matemática Argentina (1968) (2009)Get full text
Journal Article -
12
Small Furstenberg sets
Published in Journal of mathematical analysis and applications (15-04-2013)“…For α in (0,1], a subset E of R2 is called a Furstenberg set of type α or Fα-set if for each direction e in the unit circle there is a line segment ℓe in the…”
Get full text
Journal Article -
13
Multi-orbital Frames Through Model Spaces
Published in Complex analysis and operator theory (01-02-2021)“…We characterize the normal operators A on ℓ 2 and the elements a i ∈ ℓ 2 , with 1 ≤ i ≤ m , such that the sequence { A n a 1 , … , A n a m } n ≥ 0 is a frame…”
Get full text
Journal Article -
14
Time–frequency shift invariance and the Amalgam Balian–Low theorem
Published in Applied and computational harmonic analysis (01-11-2016)“…We consider smoothness properties of the generator of a principal Gabor space on the real line which is invariant under some additional translation–modulation…”
Get full text
Journal Article -
15
Improving dimension estimates for Furstenberg-type sets
Published in Advances in mathematics (New York. 1965) (30-01-2010)“…In this paper we study the problem of estimating the generalized Hausdorff dimension of Furstenberg sets in the plane. For α ∈ ( 0 , 1 ] , a set F in the plane…”
Get full text
Journal Article -
16
Approximation by crystal-refinable functions
Published in Geometriae dedicata (01-08-2020)“…Let Γ be a crystal group in R d . A function φ : R d ⟶ C is said to be crystal-refinable (or Γ -refinable) if it is a linear combination of finitely many of…”
Get full text
Journal Article -
17
Non-uniform painless decompositions for anisotropic Besov and Triebel–Lizorkin spaces
Published in Advances in mathematics (New York. 1965) (15-01-2013)“…In this article we construct affine systems that provide a simultaneous atomic decomposition for a wide class of functional spaces including the Lebesgue…”
Get full text
Journal Article -
18
Generalized Self-Similarity
Published in Journal of mathematical analysis and applications (01-02-1999)“…We prove the existence ofLpfunctions satisfying a kind of self-similarity condition. This is achieved by solving a functional equation by means of the…”
Get full text
Journal Article -
19
Invariance of a Shift-Invariant Space
Published in The Journal of fourier analysis and applications (01-02-2010)“…A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and…”
Get full text
Journal Article -
20
A linear time algorithm for a matching problem on the circle
Published in Information processing letters (15-05-1998)“…A paper describes a simple linear time algorithm to find a minimal matching for 2 ordered sets in the circle. This is done by showing that the problem can be…”
Get full text
Journal Article