2 citations · 3 across the 19 of their papers we have counts for
21 papers
Transition Probabilities and Almost Periodic Functions
S. O. Juriaans, P. C. Queiroz
We study transition probabilities of generalized functions as introduced by Colombeau and Gsponer. We formally introduz the study of H. Bohr almost periodic functions in the genera…
Fixed Point Theorems for Hypersequences and the Foundation of Generalized Differential Geometry I: The Simplified Algebra
S. O. Juriaans, J. Oliveira
Fixed point theorems are one of the many tools used to prove existence and uniqueness of differential equations. When the data involved contains products of distributions, some of…
Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities
J. Aragona, P. Catuogno, J. F. Colombeau +2
In a mathematical context in which one can multiply distributions the "`formal"' nonperturbative canonical Hamiltonian formalism in Quantum Field Theory makes sense mathematically,…
Dirichlet-Ford domains and Double Dirichlet domains
Eric Jespers, Stanley Orlando Juriaans, Ann Kiefer +2
We continue investigations started by Lakeland on Fuchsian and Kleinian groups which have a Dirichlet fundamental domain that also is a Ford domain in the upper half-space model of…
Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context
J. Aragona, J. F. Colombeau, S. O. Juriaans
In this paper we introduce Hausdorff locally convex algebra topologies on subalgebras of the whole algebra of nonlinear generalized functions. These topologies are strong duals of…
From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups
Eric Jespers, Stanley Orlando Juriaans, Ann Kiefer +2
We give an algorithm to determine finitely many generators for a subgroup of finite index in the unit group of an integral group ring of a finite nilpotent group …