27 citations · 75 across the 11 of their papers we have counts for
13 papers
A Cauchy--Riemann-Type CK Extension for Monogenic Functions
Dixan Peña Peña
We introduce a generalized Cauchy--Kowalevski extension associated with a biaxial decomposition of , allowing monogenic functions to be reconstructed from data pr…
Constructing steering-type solutions for higher order Cauchy-Riemann equations in
Daniel Alfonso Santiesteban, Dixan Peña Peña, Ricardo Abreu Blaya
The multidimensional Cauchy-Riemann operator provides a framework for studying higher order partial differential equations in , whose solutions include polymonoge…
On two-sided monogenic functions of axial type
Dixan Peña Peña, Irene Sabadini, Frank Sommen
In this paper we study two-sided (left and right) axially symmetric solutions of a generalized Cauchy-Riemann operator. We present three methods to obtain special solutions: via th…
Segal-Bargmann-Fock modules of monogenic functions
Dixan Peña Peña, Irene Sabadini, Franciscus Sommen
In this paper we introduce the classical Segal-Bargmann transform starting from the basis of Hermite polynomials and extend it to Clifford algebra-valued functions. Then we apply t…
A new integral formula for the inverse Fueter mapping theorem
Fabrizio Colombo, Dixan Peña Peña, Irene Sabadini +1
In this paper we provide an alternative method to construct the Fueter primitive of an axial monogenic function of degree , which is complementary to the one used in [F. Colombo…
Special functions and systems in Hermitian Clifford analysis
Nele De Schepper, Dixan Peña Peña, Frank Sommen
In this paper we study some new special functions that arise naturally within the framework of Hermitian Clifford analysis, which concerns the study of Dirac-like systems in severa…