Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
The Schur algorithm and reproducing kernel Hilbert spaces in the ball
Date
2002-02-15
Author
Alpay, D
Bolotnikov, V
Kaptanoglu, HT
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
143
views
0
downloads
Cite This
Using reproducing kernel Hilbert spaces methods we develop a Schur-type algorithm for a subclass of the functions analytic and contractive in the ball. We also consider the Nevanlinna-Pick interpolation problem in that class. (C) 2002 Elsevier Science Inc. All rights reserved.
Subject Keywords
Geometry and Topology
,
Algebra and Number Theory
,
Numerical Analysis
,
Discrete Mathematics and Combinatorics
URI
https://hdl.handle.net/11511/66653
Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
DOI
https://doi.org/10.1016/s0024-3795(01)00448-7
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Quivers of finite mutation type and skew-symmetric matrices
Seven, Ahmet İrfan (Elsevier BV, 2010-11-01)
Quivers of finite mutation type are certain directed graphs that first arised in Fomin-Zelevinsky's theory of cluster algebras. It has been observed that these quivers are also closely related with different areas of mathematics. In fact, main examples of finite mutation type quivers are the quivers associated with triangulations of surfaces. In this paper, we study structural properties of finite mutation type quivers in relation with the corresponding skew-symmetric matrices. We obtain a characterization ...
Contour approximation of data: A duality theory
İyigün, Cem (Elsevier BV, 2009-05-01)
Given a dataset D partitioned in clusters, the joint distance function (JDF)J(x) at any point x is the harmonic mean of the distances between x and the cluster centers. The JDF is a continuous function, capturing the data points in its lower level sets (a property called contour approximation), and is a useful concept in probabilistic clustering and data analysis.
On q-ary plateaued functions over F-q and their explicit characterizations
Mesnager, Sihem; Özbudak, Ferruh; Sinak, Ahmet; Cohen, Gerard (Elsevier BV, 2019-08-01)
Plateaued and bent functions play a significant role in cryptography, sequence theory, coding theory and combinatorics. In 1997, Coulter and Matthews redefined bent functions over any finite field F-q where q is a prime power, and established their properties. The objective of this work is to redefine the notion of plateaued functions over F-q, and to present several explicit characterizations of those functions. We first give, over F-q, the notion of q-ary plateaued functions, which relies on the concept o...
The classical involution theorem for groups of finite Morley rank
Berkman, A (Elsevier BV, 2001-09-15)
This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main result of this work, which is an analogue of Aschbacher's Classical Involution Theorem for finite simple groups. (C) 2001 Academic Press.
Mutation classes of finite type cluster algebras with principal coefficients
Seven, Ahmet İrfan (Elsevier BV, 2013-06-15)
Cluster algebras of finite type is a fundamental class of algebras whose classification is identical to the famous Cartan Killing classification. More recently, Fomin and Zelevinslcy introduced another central notion of cluster algebras with principal coefficients. These algebras are determined combinatorially by mutation classes of certain rectangular matrices. It was conjectured, by Fomin and Zelevinsky, that finite type cluster algebras with principal coefficients are characterized by the mutation classe...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
D. Alpay, V. Bolotnikov, and H. Kaptanoglu, “The Schur algorithm and reproducing kernel Hilbert spaces in the ball,”
LINEAR ALGEBRA AND ITS APPLICATIONS
, pp. 163–186, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66653.