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

• Autorzy: Vyas A.
• 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).

Słowa kluczowe

EN

MSF wavelets; wavelet sets; MRA wavelets; H2-wavelet sets; dimension function

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: Vol. 57, no 1
• Strony: 33--40
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Vyas A.

• Department of Mathematics, University of Allahabad, Allahabad-211 002, India,

Bibliografia

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• [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.