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2009 | Vol. 57, no 1 | 33-40
Tytuł artykułu

Construction of non-MSF non-MRA wavelets for L²(R) and H²(R) from MSF Wavelets

Autorzy
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for L²(M) and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA H²-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169-178).
Wydawca

Rocznik
Strony
33-40
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
Bibliografia
  • [1] N. Arcozzi, B. Behera and S. Madan, Large classes of minimally supported frequency wavelets of L2(R) and H2(R) J. Geom. Anal. 13 (2003), 557-579.
  • [2] B. Behera, Non-MSF wavelets for the Hardy space H2(R) Bull. Polish Acad. Sci. Math. 52 (2004), 169-178.
  • [3] M. Bownik and D. Speegle, The wavelet dimension function for real dilations and dilations admitting non-MSF wavelets, in: Approximation Theory X: Wavelet, Splines and Applications, Vanderbilt Univ. Press, 2002, 63-85.
  • [4] X. Dai and D. Larson, Wandering vectors for unitary systems and orthogonal wavelets, Mem. Amer. Math. Soc. 134 (1998), no. 640.
  • [5] X. Fang and X. Wang, Construction of minimally-supported-frequency wavelets, J. Fourier Anal. Appl. 2 (1996), 315-327.
  • [6] Y.-H. Ha, H. Kang, J. Lee and J. K. Seo, Unimodular wavelets for L2 and the Hardy space H2, Michigan Math. J. 41 (1994), 345-361.
  • [7] E. Hernandez, X. Wang and G. Weiss, Smoothing minimally supported frequency (MSF) wavelets: Part I, J. Fourier Anal. Appl. 2 (1996), 329-340.
  • [8] E. Hernandez, X. Wang and G. Weiss, Smoothing minimally supported frequency (MSF) wavelets: Part II, ibid. 3 (1997), 23-41.
  • [9] E. Hernandez and G. Weiss, A First Course on Wavelets, CRC Press, 1996.
  • [10] E. Ionascu, D. Larson and C. Pearcy, On wavelet sets, J. Fourier Anal. Appl. 4 (1998), 711-721.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0036-0004
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