CliffordApp

11/04/2023

Space-fractional and time-fractional counterparts of the semidiscrete Dirac operator were neatly investigated. Worthy to note, by employing [fractional semidiscrete] analytic semigroup techniques, it was shown the solution of Cauchy problems, carrying both operators, are indeed interrelated.
https://onlinelibrary.wiley.com/doi/10.1002/mana.202100234

05/09/2022

The next ICCA Conference will be held in Holon, Israel, June 4-9, 2023 and the website is

The 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA13)

03/07/2022

13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics

04 - 09 June 2023 Holon, Israel

The 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA13)

02/09/2021

[OPEN PROBLEM] hypercontractivity equivalence for the Poisson semigroup from Lp to Lq on the n-sphere.

See, for instance, my review written to zbMATH --

Frank, Rupert L.; Ivanisvili, Paata Hypercontractivity of the semigroup of the fractional Laplacian on the \(n\)-sphere. (English) Zbl 07373400 J. Funct. A**l. 281, No. 8, Article ID 109145, 10 p. (2021). The paper presents a further contribution to a problem concerning the hypercontractivity of th...

01/09/2021

Thrilled to announce that the special issue paper entitled "On fundamental solutions of higher-order space-fractional Dirac equations" is out now.

Starting from the pseudo-differential decomposition D=(−Δ)12H of the Dirac operator D=∑j=1nej∂xj in terms of the fractional operator (−Δ)12 of order 1 and of the Riesz–Hilbert type operator H we ...

05/08/2021

Slides of the talk
"On fractional semidiscrete Dirac operators of Lévy-Leblond type".
Conference: 13th ISAAC Congress -- https://cage.ugent.be/isaac2021/
Affiliation: Ghent University
DOI: http://dx.doi.org/10.13140/RG.2.2.15110.50247
ABSTRACT: page 125 ofhttps://cage.ugent.be/isaac2021/Abstracts_printing.pdf

The 13th International ISAAC congress continues a long-standing and successful tradition of biannual meetings. The most recent editions of the conference series were held in Aveiro (Portugal, 2019), Växjö (Sweden, 2017), Macau (China, 2015), Krakow (Poland, 2013), Moscow (Russia, 2011), and London...

03/08/2021

Slides of the talk

"On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations".

Conference: 13th ISAAC Congress -- https://cage.ugent.be/isaac2021/

Affiliation: Ghent University

DOI: http://dx.doi.org/10.13140/RG.2.2.15543.04004

ABSTRACT: page 90 ofhttps://cage.ugent.be/isaac2021/Abstracts_printing.pdf

21/07/2021

Once you free your mind about the concepts of harmony and of symmetry, you can create whatever you want. Including play music and compose music

'Symmetry Slice', the first video from "Octave Minds", Boys Noize and Chilly Gonzales collaborative album.201CD/2xLP/Digital: http://octaveminds.comiTunes: h...

04/05/2021

Preprint entitled "On fractional semidiscrete Dirac operators of Lévy-Leblond type" is out now
https://arxiv.org/abs/2105.00355

07/04/2021

"On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations" is part of an ongoing research project on the crossroads of harmonic analysis, analysis of PDEs and stochastics.

ArXiv -- https://arxiv.org/abs/2104.01500.

ResearchGate --https://www.researchgate.net/publication/344310562_On_Fundamental_Solutions_of_Higher-Order_Space-Fractional_Dirac_equations

Starting from the pseudo-differential decomposition $\mathbf{D}=(-Δ)^{\frac{1}{2}}\mathcal{H}$ of the Dirac operator $\displaystyle \mathbf{D}=\sum_{j=1}^n\mathbf{e}_j\partial_{x_j}$ in terms of the fractional operator $(-Δ)^{\frac{1}{2}}$ of order $1$ and of the Riesz-Hilbert type operator $\math...