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Catalogue Information
Field name	Details
Dewey Class	515.8
Title	Classical Fourier Transforms ([EBook]) / by Komaravolu Chandrasekharan.
Author	Chandrasekharan, Komaravolu , 1920-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1989.
Physical Details	VII, 172 pages : online resource.
Series	Universitext 0172-5939
ISBN	9783642740299
Contents note	I. Fourier transforms on L1 (-?,?) -- §1. Basic properties and examples -- §2. The L1 -algebra -- §3. Differentiability properties -- §4. Localization, Mellin transforms -- §5. Fourier series and Poisson’s summation formula -- §6. The uniqueness theorem -- §7. Pointwise summability -- §8. The inversion formula -- §9. Summability in the L1-norm -- §10. The central limit theorem -- §11. Analytic functions of Fourier transforms -- §12. The closure of translations -- §13. A general tauberian theorem -- §14. Two differential equations -- §15. Several variables -- II. Fourier transforms on L2(-?,?) -- §1. Introduction -- §2. Plancherel’s theorem -- §3. Convergence and summability -- §4. The closure of translations -- §5. Heisenberg’s inequality -- §6. Hardy’s theorem -- §7. The theorem of Paley and Wiener -- §8. Fourier series in L2(a,b) -- §9. Hardy’s interpolation formula -- §10. Two inequalities of S. Bernstein -- §11. Several variables -- III. Fourier-Stieltjes transforms (one variable) -- §1. Basic properties -- §2. Distribution functions, and characteristic functions -- §3. Positive-definite functions -- §4. A uniqueness theorem -- Notes -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-74029-9
Links to Related Works	Subject References: Functions of real variables . Mathematics . Number Theory . Probabilities . Probability theory and stochastic processes . Real Functions . Authors: Chandrasekharan, Komaravolu 1920- . Chandrasekharan, Komaravolu, 1920- . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.8 .

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Classical Fourier Transforms

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