Poincaré recurrence, second law of thermodynamics and multipliers on the range of the Fourier transform

DOI10.1007/s11868-013-0070-4zbMath1295.35238OpenAlexW1972849621MaRDI QIDQ2251481

Xiaoxi Duan

Publication date: 14 July 2014

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-013-0070-4

zbMATH Keywords

Fourier transformheat equationsecond law of thermodynamicsmultipliersholomorphic functionPoincaré recurrenceSchwartz space

Mathematics Subject Classification ID

Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for second-order parabolic equations (35K15) Harmonic analysis and PDEs (42B37)

Related Items (1)

Liouville's theorem and Laurent series expansions for solutions of the heat equation

Cites Work

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• An invariant volume-mean-value property
• Functions invariant under the Berezin transform
• Invariant mean value property and harmonic functions

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