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Wyszukujesz frazę "kernel extension" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Functional models for Nevanlinna families
Autorzy:
Behrndt, J.
Hassi, S.
Snoo, H. de
Powiązania:
https://bibliotekanauki.pl/articles/255065.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
symmetric operator
selfadjoint extension
boundary relation
Weyl family
functional model
reproducing kernel Hilbert space
Opis:
The class of Nevanlinna families consists of R-symmetric holomorphic multivalued functions on C \ R with maximal dissipative (maximal accumulative) values on C+ (C-, respectively) and is a generalization of the class of operator-valued Nevanlinna functions. In this note Nevanlinna families are realized as Weyl families of boundary relations induced by multiplication operators with the independent variable in reproducing kernel Hilbert spaces.
Źródło:
Opuscula Mathematica; 2008, 28, 3; 233-245
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Frames and factorization of graph Laplacians
Autorzy:
Jorgensen, P.
Tian, F.
Powiązania:
https://bibliotekanauki.pl/articles/255936.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
unbounded operators
deficiency-indices
Hilbert space
boundary values
weighted graph
reproducing kernel
Dirichlet form
graph Laplacian
resistance network
harmonic analysis
frame
Parseval frame
Friedrichs extension
reversible random walk
resistance distance
energy Hilbert space
Opis:
Using functions from electrical networks (graphs with resistors assigned to edges), we prove existence (with explicit formulas) of a canonical Parseval frame in the energy Hilbert space [formula] of a prescribed infinite (or finite) network. Outside degenerate cases, our Parseval frame is not an orthonormal basis. We apply our frame to prove a number of explicit results: With our Parseval frame and related closable operators in [formula] we characterize the Priedrichs extension of the [formula]-graph Laplacian. We consider infinite connected network-graphs G = (V, E), V for vertices, and E for edges. To every conductance function c on the edges E of G, there is an associated pair [formula] where [formula] in an energy Hilbert space, and Δ (=Δc) is the c-graph Laplacian; both depending on the choice of conductance function c. When a conductance function is given, there is a current-induced orientation on the set of edges and an associated natural Parseval frame in [formula] consisting of dipoles. Now Δ is a well-defined semibounded Hermitian operator in both of the Hilbert [formula] and [formula]. It is known to automatically be essentially selfadjoint as an [formula]-operator, but generally not as an [formula] operator. Hence as an [formula] operator it has a Friedrichs extension. In this paper we offer two results for the Priedrichs extension: a characterization and a factorization. The latter is via [formula].
Źródło:
Opuscula Mathematica; 2015, 35, 3; 293-332
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Diagnosis support method of pletysmographical records with the use of framework tenets
Autorzy:
Penhaker, M.
Powiązania:
https://bibliotekanauki.pl/articles/333197.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
Tematy:
przetwarzanie sygnałów
pletyzmografia
transformata falkowa
system ekspercki
rozszerzenie jądra
signal processing
plethysmography
wavelet transform
expert systems
framework
kernel extension
Opis:
The aim of this study is the processing and evaluating of plethysmographical records giving important information about the blood vessel function. Result of this study is to present the methodology for classifying the records by means of mathematical methods that would contribute to systematic evaluation of what has been found by finger plethysmography. Thereafter the experimental expert system based on framework systems serves to determine the diagnosis on the basis of previous mathematical processing is introduced. The goal of the project was also creation of application by the form of the extension of kernel for the use of framework that is determined for support of control and information systems development in the area of signal processing, elaborate and describe the methodology of extension hereof setting in the nature of specific applications. Beyond above-mentioned outputs the solution of the project should give the specific knowledge about the usage effectiveness of evolutional frameworks. Fundamental implementation idea is based on the usage of MATLAB as the basis for extension of common kernel.
Źródło:
Journal of Medical Informatics & Technologies; 2003, 5; MI121-127
1642-6037
Pojawia się w:
Journal of Medical Informatics & Technologies
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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