This article demonstrates a method to define fractional powers of the Laplace–Bessel operator, indicating new operator representations.
This article demonstrates that the Laplace–Bessel operator generates a strongly continuous semigroup on a weighted Lebesgue space. Using this semigroup, we define the fractional Laplace–Bessel operator via Balakrishnan’s formula. Furthermore, we derive three distinct representations for fractional powers of the negative Laplace–Bessel operator.
No takes yet. Share an insight, caveat, or question.
E. L. Shishkina (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: