Mehler's formula and functional calculus

DOI10.1007/s11425-018-9496-6zbMath1425.46028OpenAlexW2926242037MaRDI QIDQ2423879

Nicolas Lerner

Publication date: 20 June 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-018-9496-6

zbMATH Keywords

quantizationMehler's formularough Hamiltonians

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Cites Work

• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Oscillateur harmonique et opérateurs pseudo-différentiels
• Symplectic classification of quadratic forms, and general Mehler formulas
• Lower bounds for pseudodifferential operators with a radial symbol
• Positive Jacobi Polynomial Sums, II
• Localization of multidimensional Wigner distributions
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