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pro vyhledávání: '"MORAIS, J."'
Contragenic functions are defined to be reduced-quaternion-valued harmonic functions which are orthogonal to all monogenic and antimonogenic functions in the $L^2$ norm of a given domain. The parallelism between the spaces of contragenic functions in
Externí odkaz:
http://arxiv.org/abs/2410.03623
A standard technique for producing monogenic functions is to apply the adjoint quaternionic Fueter operator to harmonic functions. We will show that this technique does not give a complete system in L2 of a solid torus, where toroidal harmonics appea
Externí odkaz:
http://arxiv.org/abs/2308.02965
We consider the Dirichlet-to-Neumann mapping and the Neumann problem for the Laplace operator on a torus, given in toroidal coordinates. The Dirichlet-to-Neumann mapping is expressed with respect to series expansions in toroidal harmonics and thereby
Externí odkaz:
http://arxiv.org/abs/2212.00224
Publikováno v:
Science and Engineering of Composite Materials, Vol 12, Iss 1-2, Pp 145-152 (2005)
Externí odkaz:
https://doaj.org/article/ad8fe482415645a1a0db01026dca4088
A function $f$ from a domain in $\mathbb{R}^3$ to the quaternions is said to be inframonogenic if $\overline{\partial}\, f\overline{\partial} =0$, where $\overline{\partial} = \partial/\partial x_0+ (\partial/\partial x_1)e_1+(\partial/\partial x_2)
Externí odkaz:
http://arxiv.org/abs/2203.04509
Autor:
Morais, J., Porter, R. Michael
We construct a set of quaternionic metamonogenic functions (that is, in $\mbox{Ker}(D+\lambda)$ for diverse $\lambda$) in the unit disk, such that every metamonogenic function is approximable in the quaternionic Hilbert module $L^2$ of the disk. The
Externí odkaz:
http://arxiv.org/abs/2203.02117
Akademický článek
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Autor:
Morais, J., Ferreira, M.
Publikováno v:
In Applied Mathematics and Computation 1 August 2023 450
Autor:
Majano-Majano, A., Lara-Bocanegra, A.J., Pereira, F., Xavier, J., Morais, J., de Moura, M.F.S.F.
Publikováno v:
In Composite Structures 15 July 2023 316
We analyze the thermodynamical properties of a system of strongly interacting particles at vanishing quark chemical potential in the framework of a recently developed extension of the Polyakov-Nambu-Jona-Lasinio Model. In addition to eight quark inte
Externí odkaz:
http://arxiv.org/abs/1901.06233