In this paper, we give some applications of the Weinstein-type Segal–Bargmann transform Bα in the field of partial differential equations, such as the time-dependent Schrödinger equation and heat Cauchy problems associated with the Weinstein operator. The resolution of these types of problems is based on the techniques of the transmutation operators on the Weinstein-type Fock space Fα,∗(Cd).
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Soltani et al. (2024) studied this question.
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