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math.FA2020
Spectral density for the Schrödinger operator with magnetic field in the unit complex ball: Solutions of evolutionary equations and applications to special functions
Nour eddine Askour, Mohamed Bouaouid, Abdelkarim Elhadouni
The Schwartz kernel of the spectral density for the Schrödinger operator with magnetic field in the dimensional complex ball is given. As applications, we compute the heat, res…
math.FA2019
Bargmann transfoms associated with reproducing kernel Hilbert space and application to Dirichlet spaces
Nour eddine Askour, Mohamed Bouaouid
The aim of the present paper is three folds. For a reproducing kernel Hilbert space (R.K.H.S) and a finite measure space for which the correspond…