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Fock and Hardy spaces: Clifford Appell case.
- Source :
-
Mathematische Nachrichten . May2022, Vol. 295 Issue 5, p834-860. 27p. - Publication Year :
- 2022
-
Abstract
- In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions. The construction is based on a general idea which allows us to obtain various function spaces by specifying a suitable sequence of real numbers. We focus on the Fock and Hardy cases in this setting, and we study the action of the Fueter mapping and its range. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HARDY spaces
*FOCK spaces
*HILBERT space
*FUNCTION spaces
*REAL numbers
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 0025584X
- Volume :
- 295
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Mathematische Nachrichten
- Publication Type :
- Academic Journal
- Accession number :
- 156711895
- Full Text :
- https://doi.org/10.1002/mana.202000359