An analytic characterization of symbols of operators on non-Gaussian Mittag-Leffler functionals
Wolfgang Bock, Ang Elyn Gumanoy, Sheila Menchavez, Elmira Nabizadeh, Morsalfard
TL;DR
This paper analytically characterizes operator symbols on non-Gaussian Mittag-Leffler functionals, providing proofs, examples, and focusing on integral kernel operators and translation operators.
Contribution
It offers new analytic characterization theorems for operator symbols in the context of Mittag-Leffler distribution spaces, expanding understanding of non-Gaussian functionals.
Findings
Proved analytic characterization theorems for operator symbols.
Worked out examples as integral kernel operators.
Analyzed the translation operator case.
Abstract
In this paper, we provide proofs for the analytic characterization theorems of the operator symbols utilizing the characterization theorem for the Mittag-Leffler distribution space.We work out examples which can be interpreted as integral kernel operators and treat the important case of the translation operator.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · advanced mathematical theories