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math.CV2019★ 23 cited
On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms
Kamal Diki, Rolf Sören Krausshar, Irene Sabadini
This paper deals with some special integral transforms of Bargmann-Fock type in the setting of quaternionic valued slice hyperholomorphic and Cauchy-Fueter regular functions. The c…
math.CV2019★ 6 cited
The Cholewinski-Fock space in the Slice Hyperholomorphic Setting
Kamal Diki
Inspired from the Cholewinski approach see [5], we investigate a family of Fock spaces in the quaternionic slice hyperholomorphic setting as well as some associated quaternionic li…