38 citations · 109 across the 9 of their papers we have counts for
9 papers
On the construction of convolution-like operators associated with multidimensional diffusion processes
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
When is it possible to interpret a given Markov process as a Lévy-like process? Since the class of Lévy processes can be defined by the relation between transition probabilities an…
Product formulas and convolutions for two-dimensional Laplace-Beltrami operators: beyond the trivial case
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
We introduce the notion of a family of convolution operators associated with a given elliptic partial differential operator. Such a convolution structure is shown to exist for a ge…
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…
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…
Lévy processes with respect to the index Whittaker convolution
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
The index Whittaker convolution operator, recently introduced by the authors, gives rise to a convolution measure algebra having the property that the convolution of probability me…
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…