Schrödinger equation and oscillatory Hilbert transforms of second degree

DOI10.1007/BF02476032zbMath0912.35052MaRDI QIDQ1271496

K. I. Oskolkov

Publication date: 10 November 1998

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59569

zbMATH Keywords

Fresnel integralHilbert transformcontinued fractionselfsimilaritycurlicueGauss' sum

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Schrödinger operator, Schrödinger equation (35J10) Other character sums and Gauss sums (11T24) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (5)

Numerical simulation of nonlinear dispersive quantization ⋮ Incomplete higher-order Gauss sums ⋮ Traces of the discrete Hilbert transform with quadratic phase ⋮ An introduction to the circle method of Hardy, Littlewood, and Ramanujan ⋮ Dispersive quantization and fractalization for multi-component dispersive equations

Cites Work

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• On convergence and growth of partial sums of Fourier series
• On Functional Properties of Incomplete Gaussian Sums
• Renormalisation of curlicues
• Asymptotic expansions of finite theta series
• Incomplete Gauss sums
• ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS
• On the summability of the Fourier series ofL 2 integrable functions. IV
• Discrete analogues of singular Radon transforms
• Sur une propriété métrique de la dimension

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