3 citations · 3 across the 12 of their papers we have counts for
12 papers
Spectral projectors of bisectorial Clifford operators and applications to the generalized gradient
Francesco Mantovani, Peter Schlosser
We consider right-linear operators on a right Hilbert module over the Clifford algebra R_n, whose S-spectrum lies in an acute double sector. For these bisectorial operators…
Nonlocal Fourier Laws for Heat Propagation via Fractional powers of Vector Operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
The present work is devoted to the study of fractional powers of vector operators, with particular emphasis on the gradient operator with non-constant coefficients. Within the sett…
The discrete Laplace asymptotic method and its application to the 3XOR satisfiability problem
Jared A. Hughes, J. William Helton, Peter Schlosser
A standard way to calculate the asymptotic behavior of integrals of the form \int_Wg(x)e^{-nh(x)}dx is the (continuous) Laplace asymptotic method. However, also discrete sums like…
Quadratic estimates for the -functional calculus of bisectorial Clifford operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
The -functional calculus is a two-step procedure, introduced by A. McIntosh, that allows the definition of functions of sectorial operators in Banach spaces. It plays a c…
The -functional calculus for right slice hyperholomorphic functions and right linear Clifford operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
In 2016, the spectral theory on the -spectrum was used to establish the -functional calculus for quaternionic or Clifford operators. This calculus applies for example…
An introduction to the fine structures on the -spectrum
Fabrizio Colombo, Antonino De Martino, Stefano Pinton +2
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 cal…
The -functional calculus for bisectorial Clifford operators
Francesco Mantovani, Peter Schlosser
The aim of this article is to introduce the H-infinity functional calculus for unbounded bisectorial operators in a Clifford module over the algebra R_n. While recent studies have…
Spectral properties of the gradient operator with nonconstant coefficients
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
In mathematical physics, the gradient operator with nonconstant coefficients encompasses various models, including Fourier's law for heat propagation and Fick's first law, that rel…
Interpolation between domains of powers of operators in quaternionic Banach spaces
Fabrizio Colombo, Peter Schlosser
In contrast to the classical complex spectral theory, where the spectrum is related to the invertibility of , in the noncomm…
The -functional calculi for the quaternionic fine structures of Dirac type
Fabrizio Colombo, Stefano Pinton, Peter Schlosser
In this paper, we utilize various integral representations derived from the Fueter-Sce extension theorem, to introduce novel functional calculi tailored for quaternionic operators…
Characterization of continuous homomorphisms on entire slice monogenic functions
Stefano Pinton, Peter Schlosser
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…
The harmonic -functional calculus based on the S-spectrum
Antonino de Martino, Stefano Pinton, Peter Schlosser
The aim of this paper is to introduce the -functional calculus for harmonic functions over the quaternions. More precisely, we give meaning to Df(T) for unbounded sectori…