1.

Record Nr.

UNINA9910300124203321

Autore

Freeden Willi

Titolo

Spherical Sampling / / by Willi Freeden, M. Zuhair Nashed, Michael Schreiner

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018

ISBN

3-319-71458-9

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (XV, 596 p.)

Collana

Geosystems Mathematics, , 2510-1544

Disciplina

550

Soggetti

Functions, Special

Differential equations, Partial

Numerical analysis

Geophysics

Information theory

Mathematics—Study and teaching 

Special Functions

Partial Differential Equations

Numerical Analysis

Geophysics/Geodesy

Information and Communication, Circuits

Mathematics Education

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.