3 citations · 4 across the 4 of their papers we have counts for
4 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…