Rupert Lasser

Introduction to Fourier Series (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 300
• Erscheinungstermin: 11. August 2020
• Englisch
• ISBN-13: 9781000105278
• Artikelnr.: 59895602

Autorenporträt

Rupert Lasser (Author)

Inhaltsangabe

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.