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Smooth Molecular Decompositions of Functions and Singular Integral Operators (Memoirs of the American Mathematical Society) - Softcover

 
9780821827727: Smooth Molecular Decompositions of Functions and Singular Integral Operators (Memoirs of the American Mathematical Society)

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Under minimal assumptions on a function $\psi$ we obtain wavelet-type frames of the form $\psi_{j,k}(x) = r^{(1/2)n j} \psi(r^j x - sk), j \in \integer, k \in \integer^n,$ for some $r > 1$ and $s > 0$. This collection is shown to be a frame for a scale of Triebel-Lizorkin spaces (which includes Lebesgue, Sobolev and Hardy spaces) and the reproducing formula converges in norm as well as pointwise a.e. The construction follows from a characterization of those operators which are bounded on a space of smooth molecules. This characterization also allows us to decompose a broad range of singular integral operators in terms of smooth molecules.

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Gilbert, J.E.; Han, Y.S.; Hogan, J.A.; Lakey, Joseph D.; Weiland, D.
Published by Providence, AMS, 2002
ISBN 10: 0821827723 ISBN 13: 9780821827727
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Softcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. R-17553 9780821827727 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2482472

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Gilbert, J.E. et al.
ISBN 10: 0821827723 ISBN 13: 9780821827727
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