Results 11 to 20 of about 3,554 (301)
Tropical reproducing kernels and optimization
Integral Equations and Operator Theory, 2023 Hilbertian kernel methods and their positive semidefinite kernels have been extensively used in various fields of applied mathematics and machine learning, owing to their several equivalent characterizations.
Aubin-Frankowski, Pierre-Cyril +1 more
core +5 more sources
Reproducing Kernels and Variable Bandwidth [PDF]
Journal of Function Spaces and Applications, 2012 We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
doaj +3 more sources
, 2013 This report is concerned with the theory of reproducing kernels. First, a background of elementary facts about Hilbert spaces is given. The most important theorems are the projection and Riesz theorems.
Jeppsson, Johannes
core +2 more sources
Polyanalytic reproducing Kernels on the quantized annulus [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 normalising constant is corrected, the Bergman kernel of the punctured disc is retrievedInternational audienceWhile dealing with the constant-strength magnetic Laplacian on the annulus, we complete J. Peetre's work.
Demni, Nizar, Mouayn, Zouhair
core +3 more sources
Reproducing kernels and conformal mappings in R-n.
Journal of Mathematical Analysis and Applications, 1998 In this paper we look at the theory of reproducing kernels for spaces of functions in a Clifford algebra R0,n. A first result is that reproducing kernels of this kind are solutions to a minimum problem, which is a non-trivial extension of the analogous ...
Cnops, Jan, Cnops, J
core +2 more sources
Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral [PDF]
Journal of Applied Mathematics, 2012 We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains the traditional reproducing kernel space.
Gao, Er, Song, Songhe, Zhang, Xinjian
openaire +4 more sources
The Polyanalytic Reproducing Kernels [PDF]
Complex Analysis and Operator Theory, 2019 17
Hicham Hachadi, El Hassan Youssfi
openaire +3 more sources
The kaehlerian structures and reproducing kernels [PDF]
Annales Polonici Mathematici, 1991 Summary: It is shown that one can define a Hilbert space structure over a Kählerian manifold with global potential in a natural way.
Krok, Anna, Mazur, Tomasz
openaire +2 more sources
Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels [PDF]
Opuscula Mathematica, 2012 This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications.
Luis P. Castro +2 more
doaj +1 more source
On Weights Which Admit Harmonic Bergman Kernel and Minimal Solutions of Laplace’s Equation
Annales Mathematicae Silesianae, 2022 In this paper we consider spaces of weight square-integrable and harmonic functions L2H(Ω, µ). Weights µ for which there exists reproducing kernel of L2H(Ω, µ) are named ’admissible weights’ and such kernels are named ’harmonic Bergman kernels’. We prove
Żynda Tomasz Łukasz
doaj +1 more source