Ir al contenido

Documat


Characterization of nonuniform wavelets associated with 𝔄𝔅-MRA on L²(Λ)

  • Bhat, Mohd Younus [1] ; Rafiq, Shahbaz [1] ; Lone, Muddasir A. [1] ; Bhat, Altaf A.
    1. [1] Islamic University of Science and Technology

      Islamic University of Science and Technology

      India

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 3, 2023, págs. 609-630
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-4584
  • Enlaces
  • Resumen
    • Ahmad, Bhat and Sheikh characterized composite wavelets based on results of affine and quasi affine frames. We continued their study and provided the characterization of nonuniform composite wavelets based on results of affine and quasi affine frames. Moreover all the nonuniform composite wavelets associated with 𝔄𝔅 -MRA are characterized on L2(Λ).

  • Referencias bibliográficas
    • O. Ahmad, M. Y. Bhat and N. Shiekh, “Characterization of wavelets associated with AB-MRA on L2(Rn), Annals of the University of Craiova, Mathematics...
    • B. Behera and Q. Jahan, “Characterization of wavelets and MRA wavelets on local fields of positive characteristic”, Collectanea Mathematica,...
    • M. Bownik, “On Characterizations of Multiwavelets in L2(Λ)”, Proceedings of the American Mathematical Society, vol. 129, pp. 3265-3274, 2001.
    • M. Bownik and G. Garrigos, “Biorthogonal wavelets, MRA’s and shift-invariant spaces”, Studia Mathematica, vol. 160, pp. 231-248, 2004. https://doi.org/10.4064/sm160-3-3
    • A. Calogero, “A Characterization of Wavelets on General Lattices”, The Journal of Geometric Analysis, vol. 10, pp. 597-622, 2000. https://doi.org/10.1007/BF02921988
    • A. Calogero and G. Garrigos, “A characterization of wavelet families arising from biorthogonal MRA’s of multiplicity d”, The Journal of Geometric...
    • M. Frazier, G. Garrigos, K. Wang and G. Weiss, “A characterization of functions that generate wavelet and related expansión”, Journal of Fourier...
    • J. P. Gabardo and M. Z. Nashed, “Nonuniform multiresolution analysis and spectral pairs”, Journal of Functional Analysis, vol. 158, pp. 209-241,...
    • J. P. Gabardo and X. Yu, “Wavelets associated with nonuniform multiresolution analyses and one-dimensional spectral pairs”, Journal of Mathematical...
    • G. Gripenberg, “A necessary and sufficient condition for the existence of a father wavelet”, Studia Mathematica, vol. 114, pp. 207-226, 1995.
    • K. Guo, D. Labate, W. Lim, G. Weiss and E. N. Wilson, “Wavelets with composite dilations”, Electronic Research Announcements of the American...
    • K. Guo, D. Labate, W. Lim, G. Weiss and E. N. Wilson, The theory of wavelets with composite dilations, In Harmonic analysis and applications....
    • K. Guo, D. Labate, W. Lim, G. Weiss and E. N. Wilson, “Wavelets with composite dilations and their MRA properties”, Applied and Computational...
    • Y-H. Ha, H. Kang, J. Lee and J. Seo, “Unimodular wavelets for L2 and the Hardy space H2”, Michigan Mathematical Journal, vol. 41, pp. 345-361,...
    • E. Hernandez and G. Weiss, A First Course on Wavelets. CRC Press, 1996
    • A. Ron and Z. Shen, “Affine systems in L2(Rd): the analysis of the analysis operator”, Journal of Functional Analysis, vol. 148, pp. 408-447,...
    • X. Wang, The study of wavelets from the properties of their Fourier transform. PhD. Thesis, Washington University, 1995.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno