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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
Decay of the Fourier Transform: Analytic and Geometric Aspects

Decay of the Fourier Transform: Analytic and Geometric Aspects

Iosevich, Alex
Liflyand, Elijah

Hardcover

CalculusGeneral Mathematics

ISBN10: 3034806248
ISBN13: 9783034806244
Publisher: Springer Nature
Published: Oct 10 2014
Pages: 222
Weight: 1.12
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
The Plancherel formula says that the L 2 norm of the function is equal to the L 2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L 2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L 2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.​

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