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Feichtinger, H.G.; Molter, U.; Romero, J.L. "Perturbation techniques in irregular spline-type spaces" (2008) International Journal of Wavelets, Multiresolution and Information Processing. 6(2):249-277
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Abstract:

In this paper we study various perturbation techniques in the context of irregular spline-type spaces. We first present the sampling problem in this general setting and prove a general result on the possibility of perturbing sampling sets. This result can be regarded as a spline-type space analogue in the spirit of Kadec's Theorem for bandlimited functions (see Refs. 14 and 15). We further derive some quantitative estimates on the amount by which a sampling set can be perturbed, and finally prove a result on the existence of optimal perturbations (with the stability of reconstruction being the optimality criterion). Finally, the techniques developed in the earlier parts of the paper are used to study the problem of disturbing a basis for a spline-type space, in order to derive a sufficient criterion for a space generated by irregular translations to be a spline-type space. © 2008 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Perturbation techniques in irregular spline-type spaces
Autor:Feichtinger, H.G.; Molter, U.; Romero, J.L.
Filiación:University Vienna, Faculty of Mathematics, Nordbergstrasse 15, Wien, Austria
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, 1428 Capital Federal, Argentina
Palabras clave:Irregular sampling; Nonuniform sampling; Perturbation; Sampling; Spline-type spaces; Estimation; Sampling; Set theory; Irregular sampling; Nonuniform sampling; Spline-type spaces; Perturbation techniques
Año:2008
Volumen:6
Número:2
Página de inicio:249
Página de fin:277
DOI: http://dx.doi.org/10.1142/S0219691308002331
Título revista:International Journal of Wavelets, Multiresolution and Information Processing
Título revista abreviado:Int. J. Wavelets Multiresolution Inf. Process.
ISSN:02196913
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02196913_v6_n2_p249_Feichtinger

Referencias:

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Citas:

---------- APA ----------
Feichtinger, H.G., Molter, U. & Romero, J.L. (2008) . Perturbation techniques in irregular spline-type spaces. International Journal of Wavelets, Multiresolution and Information Processing, 6(2), 249-277.
http://dx.doi.org/10.1142/S0219691308002331
---------- CHICAGO ----------
Feichtinger, H.G., Molter, U., Romero, J.L. "Perturbation techniques in irregular spline-type spaces" . International Journal of Wavelets, Multiresolution and Information Processing 6, no. 2 (2008) : 249-277.
http://dx.doi.org/10.1142/S0219691308002331
---------- MLA ----------
Feichtinger, H.G., Molter, U., Romero, J.L. "Perturbation techniques in irregular spline-type spaces" . International Journal of Wavelets, Multiresolution and Information Processing, vol. 6, no. 2, 2008, pp. 249-277.
http://dx.doi.org/10.1142/S0219691308002331
---------- VANCOUVER ----------
Feichtinger, H.G., Molter, U., Romero, J.L. Perturbation techniques in irregular spline-type spaces. Int. J. Wavelets Multiresolution Inf. Process. 2008;6(2):249-277.
http://dx.doi.org/10.1142/S0219691308002331