In this note, we point out that a large family of n x n matrix valued kernel functions defined on the unit disc D subset of C, which were constructed recently in [9], behave like the familiar Bergman kernel function on ID in several different ways. We show that a number of questions involving the multiplication operator on the corresponding Hilbert space of holomorphic functions on D can be answered using this likeness
In this paper we revisit the so-called Bergman kernel method (BKM) for solving confor-mal mapping pr...
The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the ...
We define F to be a reproducing kernel Hilbert space on domain X with feature map φ(x) and kernel k(...
In this note, we point out that a large family of n x n matrix valued kernel functions defined on th...
Abstract. In this note, we point out that a large family of n × n matrix valued kernel functions def...
Diese Arbeit ist eine Einführung in die Theorie des Bergman Kerns. Die reproduzierende Funktion eini...
This is a series of lectures we have held during the academic year 2004-2005 at the Department of ...
The present thesis is set within the field of hypercomplex function theory, which regards the funtio...
We study expansion of reproducing kernels for Hilbert spaces of holomorphic functions on the unit ba...
In this paper we revisit the so-called Bergman kernel method (BKM) for solving confor-mal mapping pr...
The theory of Bergman spaces has been a central subject of study in complex analysis during the past...
One approach to the study of multi-variate operator theory is through the study of Hilbert modules, ...
Abstract: Let B be the Bergman kernel on the domain of n × m con-tractive complex matrices (m ≥ n ≥ ...
We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in C-N to obt...
Abstract. We prove that the Bergman kernel function associated to a finitely connected domain Ω in t...
In this paper we revisit the so-called Bergman kernel method (BKM) for solving confor-mal mapping pr...
The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the ...
We define F to be a reproducing kernel Hilbert space on domain X with feature map φ(x) and kernel k(...
In this note, we point out that a large family of n x n matrix valued kernel functions defined on th...
Abstract. In this note, we point out that a large family of n × n matrix valued kernel functions def...
Diese Arbeit ist eine Einführung in die Theorie des Bergman Kerns. Die reproduzierende Funktion eini...
This is a series of lectures we have held during the academic year 2004-2005 at the Department of ...
The present thesis is set within the field of hypercomplex function theory, which regards the funtio...
We study expansion of reproducing kernels for Hilbert spaces of holomorphic functions on the unit ba...
In this paper we revisit the so-called Bergman kernel method (BKM) for solving confor-mal mapping pr...
The theory of Bergman spaces has been a central subject of study in complex analysis during the past...
One approach to the study of multi-variate operator theory is through the study of Hilbert modules, ...
Abstract: Let B be the Bergman kernel on the domain of n × m con-tractive complex matrices (m ≥ n ≥ ...
We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in C-N to obt...
Abstract. We prove that the Bergman kernel function associated to a finitely connected domain Ω in t...
In this paper we revisit the so-called Bergman kernel method (BKM) for solving confor-mal mapping pr...
The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the ...
We define F to be a reproducing kernel Hilbert space on domain X with feature map φ(x) and kernel k(...