43 citations · 63 across the 12 of their papers we have counts for
14 papers
Octonionic Kerzman-Stein operators
Denis Constales, Rolf Sören Kraußhar
In this paper we consider generalized Hardy spaces in the octonionic setting associated to arbitrary Lipschitz domains where the unit normal field exists almost everywhere. First w…
The monogenic Hua-Radon transform and its inverse
Denis Constales, Hendrik De Bie, Teppo Mertens +1
The monogenic Hua-Radon transform is defined as an orthogonal projection on holomorphic functions in the Lie sphere. Extending the work of Sabadini and Sommen, J. Geom. Anal. 29 (2…
Data Driven Reaction Mechanism Estimation via Transient Kinetics and Machine Learning
M. Ross Kunz, Adam Yonge, Zongtang Fang +4
Understanding the set of elementary steps and kinetics in each reaction is extremely valuable to make informed decisions about creating the next generation of catalytic materials.…
Representation formulae for the determinant in a neighborhood of the identity
Denis Constales, Alí Guzmán Adán
We prove an integral representation and a power series expansion for the function in a small neighborhood of the identity matrix. Both results are closely linked to…
Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations
Sijia Bao, Denis Constales, Hendrik De Bie +1
In this paper we determine solutions for the Lévy-Leblond operator or a parabolic Dirac operator in terms of hypergeometric functions and spherical harmonics. We subsequently gener…
Explicit formulas for the Dunkl dihedral kernel and the -generalized Fourier kernel
Denis Constales, Hendrik De Bie, Pan Lian
In this paper, a new method is developed to obtain explicit and integral expressions for the kernel of the -generalized Fourier transform for . In the case of dihedral…