Some remarks on localization of Schrödinger means

DOI10.1016/j.bulsci.2012.01.002zbMath1252.42007OpenAlexW2037328260MaRDI QIDQ452076

Per Sjoelin

Publication date: 19 September 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.01.002

zbMATH Keywords

Sobolev spaceslocalizationFourier integralsSchwartz classSchrödinger means

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier integral operators applied to PDEs (35S30) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Related Items (1)

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Cites Work

• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• Localisation and weighted inequalities for spherical Fourier means
• Regularity and integrability of spherical means
• Regularity of solutions to the Schrödinger equation
• Pointwise convergence of solutions to Schr\"odinger equations
• Schrodinger Equations: Pointwise Convergence to the Initial Data
• Nonlocalization of operators of Schrödinger type
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