Introduction to Fourier Series

1. Auflage 1996
ISBN: 978-0-8247-9610-5
Verlag: CRC Press

Buch, Englisch, 300 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 617 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Lasser, Rupert

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Fourier coefficients; approximate identities; approximate identities; approximate identities and pointwise convergence; square integrable functions; convergence of Fourier series in norm; local convergence; characterization of Fourier coefficients; Hilbert transform; approximate identities. Triangular schemes; elements of best approximation; poisson integrals and hardy spaces; conjugation of approximate identities; Szego-Kolmogoriv-theorem; absolute convergence of Fourier series; Fourier transform on R; plancherel transform on R; poisson summation-formula.

Über Autor(innen)

Rupert Lasser (Author)