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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Classical Fourier Transforms

Classical Fourier Transforms

Chandrasekharan, Komaravolu

Paperback

Series: Universitext

General MathematicsProbability & Statistics

ISBN10: 3540502483
ISBN13: 9783540502487
Publisher: Springer
Published: Dec 22 1988
Pages: 172
Weight: 0.67
Height: 0.39 Width: 6.69 Depth: 9.61
Language: English
In gratefuZ remerribrance of Marston Morse and John von Neumann This text formed the basis of an optional course of lectures I gave in German at the Swiss Federal Institute of Technology (ETH), Zlirich, during the Wintersemester of 1986-87, to undergraduates whose interests were rather mixed, and who were supposed, in general, to be acquainted with only the rudiments of real and complex analysis. The choice of material and the treatment were linked to that supposition. The idea of publishing this originated with Dr. Joachim Heinze of Springer- Verlag. I have, in response, checked the text once more, and added some notes and references. My warm thanks go to Professor Raghavan Narasimhan and to Dr. Albert Stadler, for their helpful and careful scrutiny of the manuscript, which resulted in the removal of some obscurities, and to Springer-Verlag for their courtesy and cooperation. I have to thank Dr. Stadler also for his assistance with the diagrams and with the proof-reading. Zlirich, September, 1987 K. C. Contents Chapter I. Fourier transforms on L (-oo, oo) 1 1. Basic properties and examples -. -----. . --. . -. -. . . -. -. . -. . . . - 1 2. The L 1-algebra --. . . . . . . ----. . --. -. . --. . --. . -. . . --. . . . --. -. . 16 3. Differentiabili ty properties . . . ---. -. -------. . . . ----. -. . . -. 18 4. Localization, Mellin transforms . . . . . . -. -. . . . . . -. . . . . . -. . -. . 25 5. Fourier series and Poisson's summation formula . . . . . . . --. --. . 32 6. The uniqueness theorem . . . . . . . -. . . . . . . . . . . -. . . . -. . . . . . . . . . . .

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