Prolate Spheroidal Wave Functions of Order Zero

Mathematical Tools for Bandlimited Approximation

von Andrei Osipov, Vladimir Rokhlin, Hong Xiao

379 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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, the developments of the last fifteen years or so made them as computationally tractable as any  other class of special functions. As a result, PSWFs have been becoming a popular computational tool.

The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.

• Reihe: Applied Mathematical Sciences
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Numerische Mathematik
• ISBN: 9781489978653
• Sprache: Englisch
• Erscheinungsdatum: 23.08.2016
• Größe: 23.5 x 15.5 cm
• Verlag: Springer US