Quantum <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-potentials associated to quantum Ornstein–Uhlenbeck semigroups

Rguigui, Hafedh

doi:10.1016/j.chaos.2015.01.001

Cited by 23 publications

(2 citation statements)

References 15 publications

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“…Moreover, it should be denoted that our paper can be useful for authors working on subjects studied in Refs. [7][8][9]. Finally, let us recall that according to Ref.…”

Section: Introductionmentioning

confidence: 99%

Foundational aspects of a new matrix holomorphic structure

Khedhiri,

Mkademi

2024

AJMS

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PurposeIn this paper we talk about complex matrix quaternions (biquaternions) and we deal with some abstract methods in mathematical complex matrix analysis.Design/methodology/approachWe introduce and investigate the complex space HC consisting of all 2 × 2 complex matrices of the form ξ=z1+iw1z2+iw2−z‾2−iw‾2z‾1+iw‾1, (z1,w1,z2,w2)∈C4.FindingsWe develop on HC a new matrix holomorphic structure for which we provide the fundamental operational calculus properties.Originality/valueWe give sufficient and necessary conditions in terms of Cauchy–Riemann type quaternionic differential equations for holomorphicity of a function of one complex matrix variable ξ∈HC. In particular, we show that we have a lot of holomorphic functions of one matrix quaternion variable.

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“…Moreover, it should be denoted that our paper can be useful for authors working on subjects studied in Refs. [7][8][9]. Finally, let us recall that according to Ref.…”

Section: Introductionmentioning

confidence: 99%

Foundational aspects of a new matrix holomorphic structure

Khedhiri,

Mkademi

2024

AJMS

View full text Add to dashboard Cite

show abstract

“…A qdeformation of some nuclear algebras of operators acting on space of holomorphic functions on a q-deformed complexification of real nuclear space can be studied and we expect to developp a new q-deforemed white noise theory to overcome the renormalisation problem, (Altoum et al, 2017;Ettaieb et al, 2012;2014a;2014b;2016;Ouerdiane and Rguigui, 2012;Rguigui, 2015a;2015b;2016a;2016b).…”

Section: Theorem 43mentioning

confidence: 99%