Year: 2025
Type: preprint
Abstract: The work analyzes the theory of Dunkl operator as a moment differential operator. This last operator generalizes the first one whenever the sequence of moments satisfies appropriate classical properties, classically considered in the general theory of ultraholomorphic and ultradifferentiable classes of functions. In this sense, the theory of Dunkl operator is then generalized. On the other hand, some features developed in Dunkl theory, such as Dunkl translation, have not been considered in the theory of moment differential equations yet, which leads to a common mutualism involving both theories.
Source: arXiv (Cornell University)
Authors: Huertas, Edmundo J., Lastra, Alberto, Ceniceros, Judit Minguez
Institutions: Universidad de Alcalá, Universidad de La Rioja
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1212057538, G8920660035
OpenAlex ID: W7090734222
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