16 citations · 42 across the 15 of their papers we have counts for
16 papers
Tsallis' q-analysis, new scales of interpolating spaces and q-rational functions
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler
We are studying the fundamental tools for a quantum calculus based on the Tsallis -exponential In particular we are looking at -Fock spaces, structural identities, as well as…
Generalized -Fock spaces and structural identities
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler +1
Using -calculus we study a family of reproducing kernel Hilbert spaces which interpolate between the Hardy space and the Fock space. We give characterizations of these spaces in…
Nuclearity and Grothendieck-Lidskii formula for quaternionic operators
Paula Cerejeiras, Fabrizio Colombo, Alberto Debernardi Pinos +2
We introduce an appropriate notion of trace in the setting of quaternionic linear operators, arising from the well-known companion matrices. We then use this notion to define the q…
Commutators on Fock spaces
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler +1
Given a weighted space with weights associated to an entire function, we consider pairs of weighted shift operators, whose commutators are diagonal operators, when conside…
Generalized Fock space and fractional derivatives with Applications to Uniqueness of Sampling and Interpolation Sets
Natanael Alpay, Paula Cerejeiras, Uwe Kähler
In this paper we introduce a Fock space related to derivatives of Gelfond-Leontiev type, a class of derivatives which includes many classic examples like fractional derivatives or…
Generalized Grassmann algebras and applications to stochastic processes
Daniel Alpay, Paula Cerejeiras, Uwe Kähler
In this paper we present the groundwork for an Itô/Malliavin stochastic calculus and Hida's white noise analysis in the context of a supersymmentry with Z3-graded algebras. To this…