<E-Book>
Classical Fourier Transforms / by Komaravolu Chandrasekharan
(Universitext. ISSN:21916675)
Edition | 1st ed. 1989. |
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Publisher | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Year | 1989 |
Size | VII, 172 p : online resource |
Authors | *Chandrasekharan, Komaravolu author SpringerLink (Online service) |
Subjects | LCSH:Functions of real variables LCSH:Probabilities LCSH:Number theory FREE:Real Functions FREE:Probability Theory FREE:Number Theory |
Notes | 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 HTTP:URL=https://doi.org/10.1007/978-3-642-74029-9 |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783642740299 |
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EB00206269 |
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