Resonances for vector‐valued Jacobi operators on half‐lattice
Sign Up to like & getrecommendations! Published in 2024 at "Mathematische Nachrichten"
DOI: 10.1002/mana.70026
Abstract: We study resonances for Jacobi operators on the half lattice with matrix‐valued coefficients and finitely supported perturbations. We describe a forbidden domain, the geometry of resonances and their asymptotics when the main coefficient of the… read more here.
Keywords: operators half; resonances vector; vector valued; jacobi ... See more keywords
The abstract Dirichlet problem for continuous vector-valued functions
Sign Up to like & getrecommendations! Published in 2017 at "Archiv der Mathematik"
DOI: 10.1007/s00013-016-1015-y
Abstract: Let X be a simplex with the set $${\text {ext}}\, X$$extX of extreme points being Lindelöf. We show that a continuous bounded mapping defined on $${\text {ext}}\, X$$extX with values in a Fréchet space F… read more here.
Keywords: dirichlet problem; continuous vector; vector valued; abstract dirichlet ... See more keywords
Frame Multiplication Theory and a Vector-Valued DFT and Ambiguity Function
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-018-09653-x
Abstract: Vector-valued discrete Fourier transforms (DFTs) and ambiguity functions are defined. The motivation for the definitions is to provide realistic modeling of multi-sensor environments in which a useful time–frequency analysis is essential. The definition of the… read more here.
Keywords: frame multiplication; multiplication theory; vector valued; theory ... See more keywords
Spatiotemporal Pattern Extraction by Spectral Analysis of Vector-Valued Observables
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-019-09548-1
Abstract: We present a data-driven framework for extracting complex spatiotemporal patterns generated by ergodic dynamical systems. Our approach, called vector-valued spectral analysis (VSA), is based on an eigendecomposition of a kernel integral operator acting on a… read more here.
Keywords: vector; vector valued; spectral analysis; operator ... See more keywords
On vector-valued automorphic forms on bounded symmetric domains
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-018-9632-2
Abstract: We prove a spanning result for vector-valued Poincaré series on a bounded symmetric domain. We associate a sequence of holomorphic automorphic forms to a submanifold of the domain. When the domain is the unit ball… read more here.
Keywords: valued automorphic; forms bounded; automorphic forms; vector valued ... See more keywords
Extremes of locally-homogenous vector-valued Gaussian processes
Sign Up to like & getrecommendations! Published in 2024 at "Extremes"
DOI: 10.1007/s10687-023-00483-9
Abstract: In this paper, we study the asymptotical behaviour of high exceedence probabilities for centered continuous $$\mathbb {R}^n$$ R n -valued Gaussian random field $$\varvec{X}$$ X with covariance matrix satisfying $$\Sigma - R ( t +… read more here.
Keywords: extremes locally; homogenous vector; locally homogenous; vector valued ... See more keywords
Parabolic Second-Order Directional Differentiability in the Hadamard Sense of the Vector-Valued Functions Associated with Circular Cones
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-016-0935-9
Abstract: In this paper, we study the parabolic second-order directional derivative in the Hadamard sense of a vector-valued function associated with circular cone. The vector-valued function comes from applying a given real-valued function to the spectral… read more here.
Keywords: order; order directional; second order; vector valued ... See more keywords
New Farkas-Type Results for Vector-Valued Functions: A Non-abstract Approach
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1352-z
Abstract: This paper provides new Farkas-type results characterizing the inclusion of a given set, called contained set, into a second given set, called container set, both of them are subsets of some locally convex space, called… read more here.
Keywords: farkas type; type results; approach; results vector ... See more keywords
Isometries between completely regular vector-valued function spaces
Sign Up to like & getrecommendations! Published in 2022 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-021-00413-x
Abstract: In this paper, first we study surjective isometries (not necessarily linear) between completely regular subspaces $A$ and $B$ of $C_0(X,E)$ and $C_0(Y,F)$ where $X$ and $Y$ are locally compact Hausdorff spaces and $E$ and $F$… read more here.
Keywords: completely regular; valued function; isometries completely; function spaces ... See more keywords
Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals
Sign Up to like & getrecommendations! Published in 2017 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-017-0634-3
Abstract: This paper concerns with multiple weighted norm inequalities for maximal vector-valued multilinear singular operator and maximal commutators. The Cotlar-type inequality of maximal vector-valued multilinear singular integrals operator is obtained. On the other hand, pointwise estimates… read more here.
Keywords: multilinear singular; singular integrals; vector valued; multiple weighted ... See more keywords
Compactness and Vitali’s compactness criterion in vector-valued F-seminormed function spaces
Sign Up to like & getrecommendations! Published in 2018 at "Ricerche di Matematica"
DOI: 10.1007/s11587-018-0392-x
Abstract: Results of compactness for vector-valued F-seminormed function spaces and a general Vitali’s compactness criterion under the W-property are exhibited. read more here.
Keywords: seminormed function; vitali compactness; compactness; function spaces ... See more keywords