activity
20072026
most citedA new functional calculus for non-commuting operators

108 citations · 443 across the 80 of their papers we have counts for

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Showing 2018Show all

7 papers · 1 filter

math.FA2018

The Fock space as a de Branges-Rovnyak space

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

We show that de Branges-Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy-Sobolev space and the Dirichlet space. We pre…

hep-ex2018★ 10 cited

Inclusive search for supersymmetry in pp collisions at 13 TeV using razor variables and boosted object identification in zero and one lepton final states

CMS Collaboration

An inclusive search for supersymmetry (SUSY) using the razor variables is performed using a data sample of proton-proton collisions corresponding to an integrated luminosity of 35.…

math.CV2018

Positive and generalized positive real lemma for slice hyperholomorphic functions

D. Alpay, F. Colombo, I. Lewkowicz +1

In this paper we prove a quaternionic positive real lemma as well as its generalized version, in case the associated kernel has negative squares for slice hyperholomorphic function…

math.CV2018★ 4 cited

The Cauchy transform in the slice hyperholomorphic setting and related topics

Fabrizio Colombo, Samuele Mongodi

In this paper we study the additive splitting associated to the quaternionic Cauchy transform defined by the Cauchy formula of slice hyperholomorphic functions. Moreover, we introd…

math.FA2018★ 12 cited

Fractional powers of vector operators and fractional Fourier's law in a Hilbert space

Fabrizio Colombo, Jonathan Gantner

In this paper we give a concrete application of the spectral theory based on the notion of -spectrum to fractional diffusion process. Precisely, we consider the Fourier law for…

math.FA2018

Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

In this work we treat realization results for operator-valued functions which are analytic in the complex sense or slice hyperholomorphic over the quaternions. In the complex setti…