News Help Institutional access
Back to results
Bibliographic record · Consultation and access
Artículo

Linear independence of time–frequency translates in Lp spaces

Antezana, Jorge Abel et al · Birkhauser Boston Inc · 2020

Open-access full text
Quick overview. Review the resource’s basic details, then access the content using the main button. This page shows only the information needed to identify, cite, and open the work.
Author / responsible party
Antezana, Jorge Abel et al
Publisher
Birkhauser Boston Inc
Year
2020
ISSN
1069-5869
ISSN
1069-5869
Language
English

Resource access

Open the content from the main option or choose another available source.

CONICET Digital CONICET Digital OAI-PMH
Entrar por CONICET Digital
Main access

Open-access full text

Texto completo identificado como acceso abierto.
Open text

Summary

Descripción general del contenido del recurso.

We study the Heil-Ramanathan-Topiwala conjecture in L^p spaces by reformulating it as a fixed point problem. This reformulation shows that a function with linearly dependent time-frequency translates has a very rigid structure, which is encoded in a family of linear operators. This is used to give an elementary proof that if f∈ L^p(R) , p∈ [ 1 , 2 ] , and Λ ⊆ R× R is contained in a lattice then the set of time frequency translates (f(a,b))(a,b)∈Λ is linearly independent. Our proof also works for the case 2 < p< ∞ if Λ is contained in a lattice of the form αZ× βZ. Fil: Antezana, Jorge Abel. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina Fil: Bruna, Joaquim. Universitat Autònoma de Barcelona; España

How to cite

Elegí el formato que necesitás y copiá la referencia al portapapeles.

APA 7

Antezana, J. A. E. A. (2020). Linear independence of time–frequency translates in Lp spaces. http://hdl.handle.net/11336/139058

MLA

Antezana, Jorge Abel et al. "Linear independence of time–frequency translates in Lp spaces." 2020. http://hdl.handle.net/11336/139058.

Chicago

Antezana, Jorge Abel et al. 2020. "Linear independence of time–frequency translates in Lp spaces.". http://hdl.handle.net/11336/139058.

Harvard

Antezana, J. A. E. A. 2020, Linear independence of time–frequency translates in Lp spaces, Birkhauser Boston Inc, available at: http://hdl.handle.net/11336/139058 [Accessed 10 Aug. 2026].

Share and print

Save the record, copy its permanent link, or print it as a PDF.

Export reference

You can export the record in common formats for use in a reference manager.

RIS BibTeX

Resource details

Bibliographic information to help confirm that this is the correct material.

Title
Linear independence of time–frequency translates in Lp spaces
Author / contributors
Antezana, Jorge Abel et al
Publisher
Birkhauser Boston Inc
Publication year
2020
ISSN
1069-5869
ISSN
1069-5869
Language
English

Subjects

Explore related resources through these subjects.

TIME FREQUENCY TRANSLATES; LINEAR INDEPENDENCE; ERGODICITY; SYMPLECTIC TRANSFORMATION; LATTICE; LP SPACES; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
Copied