The Fourier Integral and Certain of Its Applications

E158220

The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.

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Predicate Object
instanceOf mathematics book
monograph
academicDiscipline pure mathematics
author Norbert Wiener
countryOfPublication United States of America
surface form: United States
field Fourier analysis
harmonic analysis
mathematical analysis
hasInfluenced modern harmonic analysis
probability theory
signal processing theory
influencedBy David Hilbert
G. H. Hardy
Henri Lebesgue
language English
notableFor applications of Fourier analysis to boundary value problems
rigorous analytic approach to Fourier transforms
systematic treatment of the Fourier integral
publicationYear 1933
publisher Cambridge University Press
relatedConcept Tauberian theorems
surface form: Wiener Tauberian theorem

Banach algebra
surface form: Wiener algebra
relatedWork Cybernetics: Or Control and Communication in the Animal and the Machine
subject Bessel functions
Dirichlet problem
Fourier transform
surface form: Fourier integral

Fourier transform
Laplace equation
Poisson integral
Tauberian theorems
boundary value problems
convergence of Fourier series
generalized harmonic analysis
harmonic functions
integral transforms
orthogonal expansions
potential theory
summability methods
trigonometric series
targetAudience advanced mathematics students
research mathematicians
timePeriod 20th century
usedIn communication theory
engineering mathematics
physics

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Norbert Wiener notableWork The Fourier Integral and Certain of Its Applications