Results 11 to 20 of about 17,042 (194)
Operator theory and function theory in Drury-Arveson space and its quotients [PDF]
The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module.
A Arias +93 more
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Complex Interpolation of Hardy‐Type Subspaces [PDF]
AbstractWe consider the problem of complex interpolation of certain Hardy‐type subspaces of Köthe function spaces. For example, suppose that X0 and X1 arc Köthe function spaces on the unit circle T. and let HX0 and HX1 be the corresponding Hardy spaces. Under mild conditions on X0.
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Open Strings and D-branes in WZNW model [PDF]
An abundance of the Poisson-Lie symmetries of the WZNW models is uncovered. They give rise, via the Poisson-Lie $T$-duality, to a rich structure of the dual pairs of $D$-branes configurations in group manifolds.
Alekseev +47 more
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A theorem on interpolation in Haar subspaces
Abstract : The purpose of the note is to answer an old question about the Lagrange interpolation process. The authors prove here that in interpolation by polynomials of degree n, it is possible to select the n+1 nodes of interpolation in such a way that the resulting Lebesgue function exhibits n+2 maxima of equal amplitude.
CHENEY, E.W., Kilgore, T.A.
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A version of the Stone-Weierstrass theorem in fuzzy analysis [PDF]
Let C ( K , E 1 ) be the space of continuous functions defined between a compact Hausdorff space K and the space of fuzzy numbers E 1 endowed with the supremum metric. We provide a set of sufficient conditions on a subspace of C ( K ,
Font, Juan J. +2 more
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Sampling Theorem and Discrete Fourier Transform on the Hyperboloid [PDF]
Using Coherent-State (CS) techniques, we prove a sampling theorem for holomorphic functions on the hyperboloid (or its stereographic projection onto the open unit disk $\mathbb D_1$), seen as a homogeneous space of the pseudo-unitary group SU(1,1).
Calixto, Manuel +2 more
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Complemented invariant subspaces and interpolation sequences [PDF]
It is shown that the invariant subspace of the Bergman space A p A^p of the unit disc, generated by a finite union of Hardy interpolation sequences, is complemented in A p A^p .
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Constrained characteristic functions, multivariable interpolation, and invariant subspaces [PDF]
AbstractIn this paper, we present a functional model theorem for completely non-coisometric n-tuples of operators in the noncommutative variety $\mathcal{V}_{f,\varphi,\mathcal{I}}(\mathcal{H})$Vf,φ,I(H) in terms of constrained characteristic functions.
Jian Hu, Maofa Wang, Wei Wang
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Inspiraling compact binaries are promising sources of gravitational waves for ground and space-based laser interferometric detectors. The time-dependent signature of these sources in the detectors is a well-characterized function of a relatively small ...
C. E. Shannon +8 more
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Efficient Scalable Accurate Regression Queries in In-DBMS Analytics [PDF]
Recent trends aim to incorporate advanced data analytics capabilities within DBMSs. Linear regression queries are fundamental to exploratory analytics and predictive modeling.
Anagnostopoulos, Christos +1 more
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