Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Pinton, Stefano"'
Holomorphic functions are fundamental in operator theory and their Cauchy formula is a crucial tool for defining functions of operators. The Fueter-Sce extension theorem (often called Fueter-Sce mapping theorem) provides a two-step procedure for exte
Externí odkaz:
http://arxiv.org/abs/2410.07251
In this paper, we utilize various integral representations derived from the Fueter-Sce extension theorem, to introduce novel functional calculi tailored for quaternionic operators of sectorial type. Specifically, due to the different factorizations o
Externí odkaz:
http://arxiv.org/abs/2312.02064
Autor:
Pinton, Stefano, Schlosser, Peter
This paper is inspired by a class of infinite order differential operators arising in the time evolution of superoscillations. Recently, infinite order differential operators have been considered and characterized on the spaces of entire monogenic fu
Externí odkaz:
http://arxiv.org/abs/2311.04548
The aim of this paper is to introduce the $H^\infty$-functional calculus for harmonic functions over the quaternions. More precisely, we give meaning to Df(T) for unbounded sectorial operators T and polynomially growing functions of the form Df, wher
Externí odkaz:
http://arxiv.org/abs/2310.12623
Harmonic and polyanalytic functional calculi have been recently defined for bounded commuting operators. Their definitions are based on the Cauchy formula of slice hyperholomorphic functions and on the factorization of the Laplace operator in terms o
Externí odkaz:
http://arxiv.org/abs/2304.09980
Holomorphic functions play a crucial role in operator theory and the Cauchy formula is a very important tool to define functions of operators. The Fueter-Sce-Qian extension theorem is a two steps procedure to extend holomorphic functions to the hyper
Externí odkaz:
http://arxiv.org/abs/2303.00253
In this paper we describe a general method to generate superoscillatory functions of several variables starting from a superoscillating sequence of one variable. Our results are based on the study of suitable infinite order differential operators on
Externí odkaz:
http://arxiv.org/abs/2301.13482
Autor:
De Martino, Antonino, Pinton, Stefano
The Fueter mapping theorem gives a constructive way to extend holomorphic functions of one complex variable to monogenic functions, i.e., null solutions of the generalized Cauchy-Riemann operator in $\mathbb{R}^4$, denoted by $\mathcal{D}$. This theo
Externí odkaz:
http://arxiv.org/abs/2211.09506
Autor:
De Martino, Antonino, Pinton, Stefano
The Fueter theorem provides a two step procedure to build an axially monogenic function, i.e. a null-solutions of the Cauchy-Riemann operator in $ \mathbb{R}^4$, denoted by $ \mathcal{D}$. In the first step a holomorphic function is extended to a sli
Externí odkaz:
http://arxiv.org/abs/2207.09125
The spectral theory on the S-spectrum was introduced to give an appropriate mathematical setting to quaternionic quantum mechanics, but it was soon realized that there were different applications of this theory, for example, to fractional heat diffus
Externí odkaz:
http://arxiv.org/abs/2205.08162