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pro vyhledávání: '"Câmara M"'
We consider the canonical Wiener-Hopf factorisation of $2 \times 2$ symmetric matrices $\mathcal M$ with respect to a contour $\Gamma$. For the case that the quotient $q$ of the two diagonal elements of $\mathcal M$ is a rational function, we show th
Externí odkaz:
http://arxiv.org/abs/2410.16514
This paper considers paired operators in the context of the Lebesgue Hilbert space $L^2$ on the unit circle and its subspace, the Hardy space $H^2$. The kernels of such operators, together with their analytic projections, which are generalizations of
Externí odkaz:
http://arxiv.org/abs/2409.02563
We review the basic properties of paired operators and their adjoints, the transposed paired operators, with particular reference to commutation relations, and we study the properties of their kernels, bringing out their similarities and also, somewh
Externí odkaz:
http://arxiv.org/abs/2408.14120
Publikováno v:
JHEP06(2024)027
The Riemann-Hilbert approach, in conjunction with the canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices, enables one to obtain explicit solutions to the non-linear field equations of some gravitational theories
Externí odkaz:
http://arxiv.org/abs/2404.03373
Autor:
Câmara M. Cristina
Publikováno v:
Concrete Operators, Vol 4, Iss 1, Pp 130-145 (2017)
Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-
Externí odkaz:
https://doaj.org/article/16575a5ace7f4d1198b1f5bd4eaaf035
This paper considers paired operators in the context of the Lebesgue Hilbert space on the unit circle and its subspace, the Hardy space $H^2$. The kernels of such operators, together with their analytic projections, which are generalizations of Toepl
Externí odkaz:
http://arxiv.org/abs/2308.16644
This paper is concerned with paired operators in the context of the Lebesgue Hilbert space on the unit circle and its subspace, the Hardy space. By considering when such operators commute, generalizations of the Brown--Halmos results for Toeplitz ope
Externí odkaz:
http://arxiv.org/abs/2304.07252
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2024)
Explicit solutions to the non-linear field equations of some gravitational theories can be obtained, by means of a Riemann-Hilbert approach, from a canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices. In this pap
Externí odkaz:
http://arxiv.org/abs/2211.01702
Autor:
Câmara, M. Cristina, Krejcirik, David
Publikováno v:
Anal. Math. Phys. 13 (2023), art. no. 6
We develop the concept of operators in Hilbert spaces which are similar to their adjoints via antiunitary operators, the latter being not necessarily involutive. We discuss extension theory, refined polar and singular-value decompositions, and antili
Externí odkaz:
http://arxiv.org/abs/2208.05739
Publikováno v:
Brazilian Journal of Biology, Vol 63, Iss 1, Pp 17-26 (2003)
The reproductive ecology of the freshwater fish Cichla monoculus Spix, 1831 (Osteichthyes: Cichlidae) was investigated in the Campo Grande Reservoir, Northeast Brazil. Rainfall, temperature, pH, dissolved oxygen and electrical conductivity of the wat
Externí odkaz:
https://doaj.org/article/adb796254d7f49299bcde543786cdba7