35 citations · 39 across the 5 of their papers we have counts for
5 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…
Pretty good state transfer of entangled states through quantum spin chains
Rúben Sousa, Yasser Omar
The XX model with uniform couplings represents the most natural choice for quantum state transfer through spin chains. Given that it has long been established that single-qubit sta…