Prolate Spheroidal Wave Functions of Order Zero Mathematical Tools for Bandlimited Approximation /

• Κύριοι συγγραφείς: Osipov, Andrei (Συγγραφέας), Rokhlin, Vladimir (Συγγραφέας), Xiao, Hong (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US : Imprint: Springer, 2013.
• Σειρά: Applied Mathematical Sciences, 187
• Θέματα: Mathematics.; Numerical analysis.; Applied mathematics.; Engineering mathematics.; Numerical Analysis.; Signal, Image and Speech Processing.; Appl.Mathematics/Computational Methods of Engineering.

Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, t...

Πίνακας περιεχομένων:

• Introduction
• Mathematical and Numerical Preliminaries
• Overview.- Analysis of the Differential Operator.- Analysis of the Integral Operator.- Rational Approximations of PSWFs.-Miscellaneous Properties of PSWFs.-  Asymptotic Analysis of PSWFs.- Quadrature Rules and Interpolation via PSWFs.- Numerical Algorithms .- .