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Continuous wavelet transforms on the space L2 (R, H; dx)

โœ Scribed by Jianxun He; Bo Yu


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
591 KB
Volume
17
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


Let P be the affine group of the real line R, and let HI be the set of all quaternions. Thus, L'(R, W; &x) denotes the space of all square integrable W-valued functions.

From the viewpoint of square integrable group representations, we study the theory of continuous wavelet transforms on L2(R,W; do) associated with the group P, and give the Calderdn reproducing formula.


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