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math.FA2024
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…
math.FA2024
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…
math.FA2024
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…