What question did this study set out to answer?

The research aims to establish a spectral realization of multidimensional Weyl fractional operators on exponential characters.

March 17, 2026Open Access

A Spectral Algebra for Multidimensional Weyl Fractional Operators on Exponential Characters

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Demonstrates a spectral algebra forming for multidimensional Weyl operators, suggesting new insights into fractional calculus.

The research aims to establish a spectral realization of multidimensional Weyl fractional operators on exponential characters.
Defined spectral realization using algebraic span of exponential characters.
Introduced generalized Weyl integrals and derivatives.
Analyzed the action of operators on the algebra of exponential characters.
Proved the diagonal action of operators on the algebraic direct sum of exponential functions.
Showed the law of exponents through symbol multiplication for Weyl integrals and derivatives.
Established that the Weyl fractional derivative acts as a genuine spectral algebra on the defined space.

Ariel Daley (2026) studied this question.

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