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On multidimensional sinc-Gauss sampling formulas for analytic functions. ETNA - Electronic Transactions on Numerical Analysis
Using complex analysis, we present new error estimates for multidimensional sinc-Gauss sampling formulas for multivariate analytic functions and their partial derivatives, which are valid for wide classes of functions. The first class consists of all n-variate entire functions of exponential type satisfying a decay condition, while the second is the class of n-variate analytic functions defined on a multidimensional horizontal strip. We show that the approximation error decays exponentially with respect to the localization parameter N. This work extends former results of the first author and J. Prestin, [IMA J. Numer. Anal., 36 (2016), pp. 851–871] and [Numer. Algorithms, 86 (2021), pp. 1421–1441], on two-dimensional sinc-Gauss sampling formulas to the general multidimensional case. Some numerical experiments are presented to confirm the theoretical analysis
Madensky (Madenski), Eduard Franz
* 20.9.1877 Wien, † 15.9.1923 auf hoher See (Atlantik). Kontrabassist, Pädagoge
Lisa Malich, Die Gefühle der Schwangeren. Eine Geschichte somatischer Emotionalität (1780–2010) (Bielefeld 2017: transcript Verlag), 448 S., EUR 34,99. ISBN 978-3-8376-3596-6. VIRUS - Beiträge zur Sozialgeschichte der Medizin|VIRUS. Beiträge zur Sozialgeschichte der Medizin Band 19. Schwerpunkt: Objekte als Quellen der Medizingeschichte|
Mier, Anna Antonia Gräfin von (geb. Wierer)
* 24.9.1841 [nicht 1844] Wien, † 6.12.1917 Bad Ischl/OÖ. Sängerin, Komponistin
Die Wandmalerei der Hanghäuser in Ephesos Tafel. Forschungen in Ephesos|Hanghaus 1 in Ephesos Forschungen in Ephesos VIII/2|
Mehr zur Astronomie in den homerischen Epen. Wiener Studien|Wiener Studien 134 134|
While Iliad 10,251–253 has often been translated correctly, Odyssey 12,312 (≈14,483) has not fared nearly as well, although the meaning is basically the same. Whether this means that the author of Iliad 10 improved on the Odyssey or not, Odyssey 12,312 is best understood as meaning “But when it was the third part of the night and the stars had already completed a considerable part of their paths.” In the second part of this article it is argued that τείρεα in Iliad 18,485 means not all stars or constellations, but just the most conspicuous ones, which explains why in Iliad 18,487–489 = Odyssey 5,273–275 it is asserted that only the Great Bear is barred from bathing in the ocean, a problem already debated in antiquity: the seven stars of Ursa maior forming the Big Dipper constitute the only conspicuous group of stars which was circumpolar in archaic Greece. The latter theory, an overlooked explanation of Walter Leaf, can be supported by further evidence