The abstract Dirichlet problem for continuous vector-valued functions
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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
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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
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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
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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
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
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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
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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
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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
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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
Vector-valued maximal multilinear Calderón–Zygmund operator with nonsmooth kernel on weighted Morrey space
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DOI: 10.1007/s11868-016-0169-5
Abstract: In this paper, vector-valued Maximal multilinear Calderón–Zygmund operator with nonsmooth kernel and its commutators generated by $$\textit{BMO}$$BMO function are studied. The purpose of this paper is to establish that these operators are bounded on certain… read more here.
Keywords: zygmund operator; calder zygmund; vector valued;
White noise differential equations for vector-valued white noise functionals
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DOI: 10.1007/s43037-020-00088-5
Abstract: In this paper, a framework of vector-valued white noise functionals has been constructed as a Gel’fand triple $${\mathcal {W}}_{\alpha }\otimes {\mathcal {E}} \subset \varGamma (H)\otimes K \subset ( {\mathcal {W}}_{\alpha }\otimes {\mathcal {E}})^*$$ . Base… read more here.
Keywords: vector valued; noise; noise functionals; white noise ... See more keywords