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Smooth Molecular Decompositions of Functions and Singular Integral Operators (Memoirs of the American Mathematical Society) - Softcover
Inhaltsangabe
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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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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Smooth molecular decompositions of functions and singular integral operators. Memoirs of the American Mathematical Society; 742.
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
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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. Bestandsnummer des Verkäufers 2482472
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Smooth Molecular Decompositions of Functions and Singular Integral Operators.; (Memoirs of the American Mathematical Society Number 742.)
Verlag:
American Mathematical Society, Providence, RI, 2000
ISBN 10: 0821827723
ISBN 13: 9780821827727
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Paperback
Anbieter: J. HOOD, BOOKSELLERS, ABAA/ILAB, Baldwin City, KS, USA
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Paperback. 74pp. As new, clean, tight & bright condition. Bestandsnummer des Verkäufers 161987
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