A. Altavilla

activity

20132026

most citedSome properties for quaternionic slice-regular functions on domains without real points

22 citations · 137 across the 27 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

math.DG2025

A Complete Characterization of Pythagorean Hodograph Preserving Mappings

Amedeo Altavilla, Hans-Peter Schröcker, Zbyněk Šír +1

We fully characterize the mappings $Φ$ that send every Pythagorean-hodograph (PH) curve to a PH curve. We prove that in any dimension, such mappings are precisely the conformal fun…

math.CV2025

$q$ -Fock Space of $q$ -Analytic Functions and its realization in $L^{2} (C; e^{- z z ˉ} d x d y)$

Amedeo Altavilla, Swanhild Bernstein, Martha Lina Zimmermann

We introduce a $q$ -deformation of the Fock space of holomorphic functions on $C$ , based on a geometric definition of $q$ -analyticity. This definition is inspired by a stan…

math.CV2025

Minimal Surfaces via Complex Quaternions

Amedeo Altavilla, Hans-Peter Schröcker, Zbyněk Šír +1

Minimal surfaces play a fundamental role in differential geometry, with applications spanning physics, material science, and geometric design. In this paper, we explore a novel qua…

math.CV2025

Conjugate $(1/ q, q)$ -harmonic Polynomials in $q$ -Clifford Analysis

Swanhild Bernstein, Amedeo Altavilla, Martha Lina Zimmermann

We consider the problem of constructing a conjugate $(1/ q, q)$ -harmonic homogeneous polynomial $V_{k}$ of degree $k$ to a given $(1/ q, q)$ -harmonic homogeneous polynomial $U_{k}$ of de…

A Complete Characterization of Pythagorean Hodograph Preserving Mappings

q-Fock Space of q-Analytic Functions and its realization in L2(C;e−zzˉdxdy)

Minimal Surfaces via Complex Quaternions

Conjugate (1/q,q)-harmonic Polynomials in q-Clifford Analysis

$q$ -Fock Space of $q$ -Analytic Functions and its realization in $L^{2} (C; e^{- z z ˉ} d x d y)$

Conjugate $(1/ q, q)$ -harmonic Polynomials in $q$ -Clifford Analysis