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Mehler’s formula and functional calculus
Science China Mathematics, 2019Several formulas involving the quantization of singular Hamiltonians are derived by the use of Mehler's formula. Three appendices serve as relevant source for background material. In the first section, the Weyl quantization of \(F(x^2 + \xi^2)\) is calculated explicitly, when \(F\) is of the Schwartz class in one dimension.
openaire +2 more sources
The Uniqueness of the Functional Calculus
Proceedings of the London Mathematical Society, 1973openaire +1 more source
Properties of a polyanalytic functional calculus on the S‐spectrum
Mathematische Nachrichten, 2023exaly
Numerical range and functional calculus in Hilbert space
Journal of Functional Analysis, 2007Michel Crouzeix
exaly
Functional Itô calculus and stochastic integral representation of martingales
Annals of Probability, 2013Rama Cont
exaly
A weak version of path-dependent functional Itô calculus
Annals of Probability, 2018Alberto Ohashi +2 more
exaly
The Fueter mapping theorem in integral form and the ℱ-functional calculus
Mathematical Methods in the Applied Sciences, 2010Fabrizio Colombo, Irène Sabadini
exaly
Bicomplex holomorphic functional calculus
Mathematische Nachrichten, 2014Fabrizio Colombo, Irène Sabadini
exaly