Results 51 to 60 of about 170,682 (322)

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

Reproducing Kernel in Krein Spaces

WSEAS TRANSACTIONS ON MATHEMATICS, 2022
This article describes a new form to introduce a reproducing kernel for a Krein space based on orthogonal projectors enabling to describe the kernel of a Krein space as the difference between the kernel of definite positive subspace and the kernel of definite negative subspace corresponding to kernel of the associated Hilbert space. As application, the
Osmin Ferrer, Diego Carrillo, Arnaldo De La Barrera   +2 more
openaire   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Reproducing kernel Hilbert space method for solving fractal fractional differential equations

Results in Physics, 2022
Based on reproducing kernel theory, an analytical approach is considered to construct numerical solutions for some basic fractional ordinary differential equations (FODEs, for short) under fractal fractional derivative with the exponential decay kernel ...
Nourhane Attia, Ali Akgül, Djamila Seba, Abdelkader Nour, Muhammad Bilal Riaz   +4 more
doaj   +1 more source

Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials

Advanced Engineering Materials, EarlyView.
Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai, Xinrui Sarah Niu, Zhao Qin   +2 more
wiley   +1 more source

A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems

Fractal and Fractional, 2019
In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind ...
Ali Akgül, Esra Karatas Akgül
doaj   +1 more source

3D (Bio) Printing Combined Fiber Fabrication Methods for Tissue Engineering Applications: Possibilities and Limitations

Advanced Functional Materials, EarlyView.
Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana, Indra Apsite, Leonid Ionov   +2 more
wiley   +1 more source

Reproducing Kernels of Generalized Sobolev Spaces via a Green Function Approach with Distributional Operators

, 2013
In this paper we introduce a generalized Sobolev space by defining a semi-inner product formulated in terms of a vector distributional operator $\mathbf{P}$ consisting of finitely or countably many distributional operators $P_n$, which are defined on the
A. Berlinet, A. Bouhamidi, A. Bouhamidi, A.J. Smola, B. Schölkopf, D.G. Schweikert, E.M. Stein, G. Wahba, G.E. Fasshauer, Gregory E. Fasshauer, H. Wendland, J. Duchon, J. Kybic, M.D. Buhmann, M.L. Stein, Qi Ye, R. Schaback, R.A. Adams, W.A. Light, W.R. Madych   +19 more
core   +1 more source

Understanding Decoherence of the Boron Vacancy Center in Hexagonal Boron Nitride

Advanced Functional Materials, EarlyView.
State‐of‐the‐art computations unravel the intricate decoherence dynamics of the boron vacancy center in hexagonal boron nitride across magnetic fields from 0 to 3 T. Five distinct regimes emerge, dominated by nuclear spin interactions, revealing optimal coherence times of 1–20 µs in the 180–350 mT range for isotopically pure samples.
András Tárkányi, Viktor Ivády
wiley   +1 more source

Weighted reproducing kernels in Bergman spaces.

Michigan Mathematical Journal, 1994
A major inspiration for this paper is the factorization theory developed by \textit{H. Hedenmalm} [J. Reine Angew. Math. 422, 45-68 (1991; Zbl 0734.30040)] for the standard Bergman space \(A^2\), and later generalized to the Bergman space \(A^2\) by \textit{P. Duren}, \textit{D. Khavinson}, \textit{H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math.
MacGregor, T. H., Stessin, M. I.
openaire   +2 more sources