Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Prolate Spheroidal Wave Functions of Order Zero - Andrei Osipov, Vladimir Rokhlin, Hong Xiao

Prolate Spheroidal Wave Functions of Order Zero

Mathematical Tools for Bandlimited Approximation
Buch | Softcover
379 Seiten
2016 | Softcover reprint of the original 1st ed. 2013
Springer-Verlag New York Inc.
978-1-4899-7865-3 (ISBN)
CHF 139,95 inkl. MwSt
  • Versand in 10-15 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken
Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. 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.
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.

Andrei Osipov is a Professor at Yale University in the Department of Mathematics.Vladimir Rokhlin is a Professor at Yale University in the Department of Computer Science.  Hong Xiao is a Professor at University of California, Davis in the Department of Computer Science.

​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​.- 

Erscheinungsdatum
Reihe/Serie Applied Mathematical Sciences ; 187
Zusatzinfo 30 Illustrations, black and white; XI, 379 p. 30 illus.
Verlagsort New York
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Technik Elektrotechnik / Energietechnik
Schlagworte analytical tools • Approximate Formulae for PSWF • Evaluation of the Quadrature Nodes • Intuition Behind Quadrature Weights • Numerical Algorithms • Prolate Spheroidal Wave Functions
ISBN-10 1-4899-7865-8 / 1489978658
ISBN-13 978-1-4899-7865-3 / 9781489978653
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch (2022)
Springer Spektrum (Verlag)
CHF 109,95