Results 21 to 30 of about 21,675 (137)

Operator Positivity and Analytic Models of Commuting Tuples of Operators

, 2016
We study analytic models of operators of class $C_{\cdot 0}$ with natural positivity assumptions. In particular, we prove that for an $m$-hypercontraction $T \in C_{\cdot 0}$ on a Hilbert space $\mathcal{H}$, there exists a Hilbert space $\mathcal{E ...
Bhattacharjee, Monojit, Sarkar, Jaydeb
core   +1 more source

Reproducing Kernel Hilbert Space vs. Frame Estimates

Mathematics, 2015
We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω . We then identify conditions on these functions which automatically give H the structure of a reproducing kernel Hilbert space of functions on Ω.
Jorgensen, Palle, Song, Myung-Sin
openaire   +3 more sources

On the performance of kernel classes

, 2015
We present sharp bounds on the localized Rademacher averages of the unit ball in a reproducing kernel Hilbert space in terms of the eigenvalues of the integral operator associated with the kernel.
Mendelson, Shahar
core   +1 more source

Kajian Metode Estimasi Parameter dalam Regresi Semiparametrik Spline [PDF]

, 2013
Pada regresi semiparametrik spline, estimasi kurva regresi dapat diselesaikan dengan metode kuadrat terkecil, kuadrat terkecil terpenalti, dan reproducing kernel Hilbert space. Masing-masing pendekatan memiliki karakteristik yang berbeda.
Budiantara, I. N. (I), Haryatmi, S. (Sri), Wibowo, W. (Wahyu)   +2 more
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Toeplitz operators defined by sesquilinear forms: Fock space case

, 2014
The classical theory of Toeplitz operators in spaces of analytic functions deals usually with symbols that are bounded measurable functions on the domain in question.
Rozenblum, Grigori, Vasilevski, Nikolai
core   +1 more source

Factorizations induced by complete Nevanlinna-Pick factors

, 2018
We prove a factorization theorem for reproducing kernel Hilbert spaces whose kernel has a normalized complete Nevanlinna-Pick factor. This result relates the functions in the original space to pointwise multipliers determined by the Nevanlinna-Pick ...
Aleman, Alexandru, Hartz, Michael, McCarthy, John E., Richter, Stefan   +3 more
core   +1 more source

Operator Reproducing Kernel Hilbert Spaces

, 2015
54 ...
Wang, Rui, Xu, Yuesheng
openaire   +2 more sources

Reproducing Kernel Hilbert Spaces and fractal interpolation

Journal of Computational and Applied Mathematics, 2011
The main result of this work is to link two fields: fractal interpolation and reproducing kernel Hilbert space. The corresponding spaces of the simple fractal interpolation functions are also reproducing kernel Hilbert spaces, as specific cases. The authors provide the elements for calculating the respective kernel functions for reproducing kernel ...
Bouboulis, P., Mavroforakis, M.
openaire   +2 more sources

Symmetric Operators and Reproducing Kernel Hilbert Spaces [PDF]

Complex Analysis and Operator Theory, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

RKHS-Methods at Series Summation for Software Implementation [PDF]

, 2006
Reproducing Kernel Hilbert Space (RKHS) and Reproducing Transformation Methods for Series Summation that allow analytically obtaining alternative representations for series in the finite form are ...
Chumachenko, Svetlana, Kirichenko, Ludmila   +1 more
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