Results 61 to 70 of about 132 (119)

Quasinormal Modes of Optical Solitons

Physical Review Letters
Quasinormal modes (QNMs) are essential for understanding the stability and resonances of open systems, with increasing prominence in black hole physics. We present here the first study of QNMs of optical potentials. We show that solitons can support QNMs, deriving a soliton perturbation equation and giving exact analytical expressions for the QNMs of ...
Christopher Burgess, Sam Patrick, Theo Torres, Ruth Gregory, Friedrich König   +4 more
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Quasinormal operators are hyperreflexive [PDF]

Banach Center Publications, 2005
We will prove the statement in the title. We also give a better estimate for the hyperreflexivity constant for an analytic Toeplitz operator.
Kamila Kliś-Garlicka, Marek Ptak
openaire   +1 more source

Quasinormed spaces generated by a quasimodular

Journal of Inequalities and Applications
In this paper, we introduce the notion of a quasimodular and we prove that the respective Minkowski functional of the unit quasimodular ball becomes a quasinorm.
Paweł Foralewski, Henryk Hudzik, Paweł Kolwicz   +2 more
doaj   +1 more source

Quasinormal Families of Meromorphic Functions

Revista Matemática Iberoamericana, 2005
Let \mathcal{F} be a family of functions meromorphic on the plane domain D , all of whose zeros are multiple. Suppose that f'(z)\ne 1 for all f\in ...
Pang, Xuecheng, Nevo, Shahar, Zalcman, Lawrence   +2 more
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Quasinormal quantization in de Sitter spacetime [PDF]

Journal of High Energy Physics, 2015
A scalar field in four-dimensional deSitter spacetime (dS_4) has quasinormal modes which are singular on the past horizon of the south pole and decay exponentially towards the future. These are found to lie in two complex highest-weight representations of the dS_4 isometry group SO(4,1).
Jafferis, Daniel, Lupsasca, Alexandru, Lysov, Vyacheslav, Ng, Gim Seng, Strominger, Andrew   +4 more
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Quasinormability and Topologies on Spaces of Polynomials

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ansemil, José M., Blasco, Fernando, Ponte, Socorro   +2 more
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ALGEBRAIC EQUIVALENCE OF QUASINORMAL OPERATORS

Tamkang Journal of Mathematics, 1994
Let $T_j =N_j\oplus( S\otimes A_j)$ be quasinormal, where $N_j$ is normal and $A_j$ is a positive definite operator, $j = 1, 2$. We show that $T_1$ is algebraically equivalent to $T_2$ if and only if $\sigma(A_1) =\sigma(A_2)$ and $\sigma(N_1)\backslash\sigma_{ap}(S\otimes A_1) =\sigma(N_2)\backslash\sigma_{ap}(S\otimes A_2)$.
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Quasinorms in Semilinear Elliptic Problems

, 2020
In this note we examine the a priori and a posteriori analysis of discontinuous Galerkin finite element discretisations of semilinear elliptic PDEs with polynomial nonlinearity. We show that optimal a priori error bounds in the energy norm are only possible for low order elements using classical a priori error analysis techniques.
Jackaman, James, Pryer, Tristan
openaire   +2 more sources

Minimizing the distortions in electrophysiological source imaging of cortical oscillatory activity via Spectral Structured Sparse Bayesian Learning. [PDF]

Front Neurosci, 2023
Paz-Linares D, Gonzalez-Moreira E, Areces-Gonzalez A, Wang Y, Li M, Vega-Hernandez M, Wang Q, Bosch-Bayard J, Bringas-Vega ML, Martinez-Montes E, Valdes-Sosa MJ, Valdes-Sosa PA.   +11 more
europepmc   +1 more source

Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles. [PDF]

Lett Math Phys, 2023
Abreu LD.
europepmc   +1 more source