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＜E-Book＞
Spherical Sampling / by Willi Freeden, M. Zuhair Nashed, Michael Schreiner
(Geosystems Mathematics. ISSN:25101552)

Edition	1st ed. 2018.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2018
Size	XV, 596 p : online resource
Authors	*Freeden, Willi author Nashed, M. Zuhair author Schreiner, Michael author SpringerLink (Online service)
Subjects	LCSH:Special functions LCSH:Differential equations LCSH:Numerical analysis LCSH:Geophysics LCSH:Computer science—Mathematics LCSH:Mathematics—Study and teaching  FREE:Special Functions FREE:Differential Equations FREE:Numerical Analysis FREE:Geophysics FREE:Mathematical Applications in Computer Science FREE:Mathematics Education
Notes	Preliminaries -- Function Systems -- Shannon Sampling Variants -- Bandlimited Sampling -- Spline Sampling -- Bandlimited Fourier Expansion Sampling -- Spacelimited Multi-Scale Approximate Identity Sampling -- Spacelimited Multi-Resolution Up-Function Sampling -- Spacelimited Multi-Scale Regularized Green Function Sampling -- Non-Spacelimited Wavelet Sampling -- Inverse Wavelet Sampling -- Conclusion -- Appendices This book presents, in a consistent and unified overview, results and developments in the field of today´s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling HTTP:URL=https://doi.org/10.1007/978-3-319-71458-5

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