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....if and only if it is the orthogonal sum of ( lenSF regular PSI spaces. We recall the connection between the definition of stability (2.5) and the notion of the range function (2.3) for the simple case of PSI spaces (see [RS] Theorem 2.3.6 for the general case of FSI spaces) Theorem 2. 6 [Me] A function L f # is stable iff there exist 0 AB such that , ABff , a.e. 7 Assume that we have constructed a non regular FSI subspace ( m S F of a regular FSI space ( n S F so that ( mn lenSmnlenSF= F . We can certainly define ( S Y as the orthogonal complement of ....
Y. Meyer, "Wavelets and operators", Cambridge, 1992 (Frenc h edition: Hermann, 1990).
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....matrix M if (2.13) is satisfied. 2.3 Smoothness Polynomial Reproduction Writing informally, it is well known that: Smoothness Refinability Approximation Order Accuracy Order Sum Rules. For the first implication, we refer to Ron [32] and also Meyer ( A Remarkable Identity , Page 32 [30]) For the second and third implications, see e.g. 24] Note that for Accuracy Order Sum Rules, one needs some mild additional condition on the refinable function vector. These references are by no means exhaustive. For instance, related results are independently discovered (even earlier) in ....
Y. Meyer. Wavelets and Operators. Cambridge University Press, 1992.
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Y. Meyer, Wavelets and Operators. Cambridge Univ. Press, 1992.
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Y. Meyer, Wavelets and Operators, Cambridge University Press, 1992.
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Meyer, Y. (1992). Wavelets and Operators. Cambridge: Cambridge University Press.
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Meyer, Y. #1992#. Wavelets and Operators. Cambridge: Cambridge University Press.
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MEYER, Y. (1992). Wavelets and Operators. Cambridge: Cambridge University Press.
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MEYER, Y. (1992). Wavelets and Operators. Cambridge Univ. Press.
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Meyer, Y.: Wavelets and Operators. Cambridge University Press, Cambridge, (1992).
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Meyer, Y. (1992). Wavelets and Operators. Cambridge University Press, Cambridge.
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