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016 7 a| 0195998582| Uk;

020 a| 9780367375638q| (hardcover);

020 a| 036737563Xq| (hardcover);

020 z| 9781000757743q| (ePub ebook);

020 z| 9781000756524q| (PDF ebook);

020 z| 9781000757132q| (Mobipocket ebook);

020 z| 9780429355103q| (ebook);

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050 00 a| QA276.6b| .F754 2020;

082 04 a| 519.5352| 23;

100 1 a| Freeden, W.q| (Willi)=| ^A585918;

245 10 a| Lattice point identities and Shannon-type samplingh| [electronic resource] /c| Willi Freeden, M. Zuhair Nashed.;

260 a| Boca Raton :b| CRC Press,c| [2020];

300 a| xvii, 281 pages :b| illustrations (black and white) ;c| 24 cm;

490 1 a| Chapman & Hall/CRC monographs and research notes in mathematics;

504 a| Includes bibliographical references and index.;

506 a| Available only to authorized users.;

520 a| This book leads the reader through a research excursion, beginning from the Gaussian circle problem of the early nineteenth century, via the classical Hardy-Landau lattice point identity and the Hardy conjecture of the first half of the twentieth century, and the Shannon sampling theorem (its variants, generalizations and the fascinating stories about the cardinal series) of the second half of the twentieth century. The authors demonstrate how all these facets have resulted in new multivariate extensions of lattice point identities and Shannon-type sampling procedures of high practical applicability, thereby also providing a general reproducing kernel Hilbert space structure of an associated Paley-Wiener theory over (potato-like) bounded regions (cf. the cover illustration of the geoid), as well as the whole Euclidean space.--c| Source other than the Library of Congress.;

538 a| Mode of access: World Wide Web;

650 0 a| Multivariate analysis.=| ^A9849;

650 0 a| Lattice theory.=| ^A38115;

650 0 a| Sampling (Statistics)=| ^A4094;

650 6 a| Analyse multivari©♭e.;

650 6 a| Th©♭orie des treillis.;

650 6 a| ©œchantillonnage (Statistique);

650 7 a| Sampling (Statistics)2| fast0| (OCoLC)fst01104676;

650 7 a| Lattice theory.2| fast0| (OCoLC)fst00993426;

650 7 a| Multivariate analysis.2| fast0| (OCoLC)fst01029105;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Nashed, M. Zuhair.=| ^A82373;

776 08 i| Ebook version :z| 9781000757743;

830 0 a| Chapman & Hall/CRC research notes in mathematics series.=| ^A410512;

856 40 z| Full text available from Taylor & Francis eBooksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Fwww.taylorfrancis.com%2Fbooks%2F9780429355103;

947 a| (OCoLC)on1145578015;

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Lattice point identities and Shannon-type sampling / Willi Freeden, M. Zuhair Nashed.

Author/creator	Freeden, W.
Other author	Nashed, M. Zuhair.
Format	Electronic
Publication Info	Boca Raton : CRC Press, [2020]
Description	xvii, 281 pages : illustrations (black and white) ; 24 cm
Supplemental Content	Full text available from Taylor & Francis eBooks
Subjects	Multivariate analysis. Lattice theory. Sampling (Statistics) Analyse multivari©♭e. Th©♭orie des treillis. ©chantillonnage (Statistique)

Series	Chapman & Hall/CRC monographs and research notes in mathematics Chapman & Hall/CRC research notes in mathematics series. ^A410512
Abstract	This book leads the reader through a research excursion, beginning from the Gaussian circle problem of the early nineteenth century, via the classical Hardy-Landau lattice point identity and the Hardy conjecture of the first half of the twentieth century, and the Shannon sampling theorem (its variants, generalizations and the fascinating stories about the cardinal series) of the second half of the twentieth century. The authors demonstrate how all these facets have resulted in new multivariate extensions of lattice point identities and Shannon-type sampling procedures of high practical applicability, thereby also providing a general reproducing kernel Hilbert space structure of an associated Paley-Wiener theory over (potato-like) bounded regions (cf. the cover illustration of the geoid), as well as the whole Euclidean space.-- Source other than the Library of Congress.
Bibliography note	Includes bibliographical references and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Issued in other form	Ebook version : 9781000757743
Genre/form	Electronic books.
LCCN	2019954453
ISBN	9780367375638 (hardcover)
ISBN	036737563X (hardcover)
ISBN	(ePub ebook)
ISBN	(PDF ebook)
ISBN	(Mobipocket ebook)
ISBN	(ebook)

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Lattice point identities and Shannon-type sampling / Willi Freeden, M. Zuhair Nashed.

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