L2(R) Solutions of Dilation Equations and Fourier-Like Transforms
✍ Scribed by David Malone
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2002
- Tongue
- English
- Weight
- 104 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1069-5869
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📜 SIMILAR VOLUMES
This paper is a study of the dimension of certain subspaces,Ct'of L2(IR) defined by prescribing the support of the functions i n ~a n d of their Fourier transforms.
Recently, the (2 + 1)-dimensional modified Kadomtsev-Petviashvili (mKP) equation was decomposed into two known (1 + 1)-dimensional soliton equations by Dai and Geng [H.H. Dai, X.G. Geng, J. Math. Phys. 41 (2000) 7501]. In the present paper, a systematic and simple method is proposed for constructing
Bidimensional wavelet bases are constructed by means of McClellan's transformation applied to a pair of one-dimensional biorthogonal wavelet filters. It is shown that under some conditions on the transfer function F(Wl,W2) associated to the McClellan transformation and on the dilation matrix D, it i