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 ⓘ
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 Wiener Tauberian theorem ⓘ
linked to: Tauberian theorems

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

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 ⓘ