3 papers
math.LO2026
Finitely additive measures on and additive combinatorics
Zeinab Ashtab, David Fernández-Bretón
We study (bounded) finitely additive measures on the group of integers , as elements of the Banach algebra , viewed as a natural generalization o…
math.CV2023
Harmonic and monogenic functions on toroidal domains
Z. Ashtab, J. Morais, R. Michael Porter
A standard technique for producing monogenic functions is to apply the adjoint quaternionic Fueter operator to harmonic functions. We will show that this technique does not give a…
math.AP2022
Neumann problem on a torus
Z. Ashtab, J. Morais, R. M. Porter
We consider the Dirichlet-to-Neumann mapping and the Neumann problem for the Laplace operator on a torus, given in toroidal coordinates. The Dirichlet-to-Neumann mapping is express…