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Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10 [PDF]

open access: yesIwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10
identifier:北海学園大学学園論集 identifier:03857271 identifier:http://hokuga.hgu.jp/dspace/handle/123456789 ...
YAMAMOTO, Takanori
openaire   +1 more source

Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions (2)  Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10 First published in 2009 in Japanese as Seisoku Kansu no nasu Hiruberuto kukan by Iwanami Shoten, Publishers, Tokyo. [PDF]

open access: yesIwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions (2)  Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10 First published in 2009 in Japanese as Seisoku Kansu no nasu Hiruberuto kukan by Iwanami Shoten, Publishers, Tokyo.
identifier:北海学園大学学園論集 identifier:03857271 identifier:http://hokuga.hgu.jp/dspace/handle/123456789 ...
YAMAMOTO, Takanori
openaire   +1 more source

A novel method for fractal-fractional differential equations

open access: yesAlexandria Engineering Journal, 2022
We consider the reproducing kernel Hilbert space method to construct numerical solutions for some basic fractional ordinary differential equations (FODEs) under fractal fractional derivative with the generalized Mittag–Leffler (M-L) kernel.
Nourhane Attia   +4 more
doaj   +1 more source

On a chain of reproducing kernel Cartan subalgebras

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of 𝔤.
Kraidi Anoh Yannick, Kangni Kinvi
doaj   +1 more source

On functional reproducing kernels

open access: yesOpen Mathematics, 2023
We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
doaj   +1 more source

Instrumental variable regression via kernel maximum moment loss

open access: yesJournal of Causal Inference, 2023
We investigate a simple objective for nonlinear instrumental variable (IV) regression based on a kernelized conditional moment restriction known as a maximum moment restriction (MMR).
Zhang Rui   +3 more
doaj   +1 more source

Cyclicity in de Branges–Rovnyak spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
In this paper, we study the cyclicity problem with respect to the forward shift operator Sb acting on the de Branges–Rovnyak space ℋ (b) associated to a function b in the closed unit ball of H∞ and satisfying log(1− |b| ∈ L1(𝕋).
Fricain Emmanuel, Grivaux Sophie
doaj   +1 more source

On Weights Which Admit Harmonic Bergman Kernel and Minimal Solutions of Laplace’s Equation

open access: yesAnnales 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

Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn

open access: yesConcrete Operators, 2020
In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector.
Rososzczuk Renata, Symesak Frédéric
doaj   +1 more source

Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces

open access: yesConcrete Operators, 2020
We study the compactness and the hypercyclicity of Toeplitz operators Tϕ¯,b{T_{\bar \varphi ,b}} with co-analytic and bounded symbols on de Branges-Rovnyak spaces ℋ(b).
Alhajj Rim
doaj   +1 more source

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