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math.CA2019★ 3 cited
Sturm-Liouville hypergroups without the compactness axiom
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
We establish a positive product formula for the solutions of the Sturm-Liouville equation , where belongs to a general class which includes singular and degene…
math.CA2019
The hyperbolic maximum principle approach to the construction of generalized convolutions
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
We introduce a unified framework for the construction of convolutions and product formulas associated with a general class of regular and singular Sturm-Liouville boundary value pr…
math.CA2018
On the product formula and convolution associated with the index Whittaker transform
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
We deduce a product formula for the Whittaker function whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving con…