Rigidity, boundary interpolation and reproducing kernels

Daniel Alpay; Simeon Reich; David Shoikhet

Rigidity, boundary interpolation and reproducing kernels

Complex Variables 2007-09-18 v1

Authors: Daniel Alpay , Simeon Reich , David Shoikhet

Abstract

We use reproducing kernel methods to study various rigidity problems. The methods and setting allow us to also consider the non-positive case.

Keywords

reproducing kernel hilbert space interpolation interpolation theory

Cite

@article{arxiv.0709.2504,
  title  = {Rigidity, boundary interpolation and reproducing kernels},
  author = {Daniel Alpay and Simeon Reich and David Shoikhet},
  journal= {arXiv preprint arXiv:0709.2504},
  year   = {2007}
}

Related papers

View all related →

Functional Analysis · Mathematics

The reproducing kernel thesis for lower bounds of weighted composition operators

Isabelle Chalendar, Jonathan R. Partington

2019-02-26

Machine Learning · Computer Science

Learning the Kernel for Classification and Regression

Chen Li, Luca Venturi, Ruitu Xu

2017-12-27

Numerical Analysis · Mathematics

A reproducing kernel Hilbert space approach in meshless collocation method

Babak Azarnavid, Mahdi Emamjome, Mohammad Nabati, Saeid Abbasbandy

2019-03-26

Functional Analysis · Mathematics

Applications of Reproducing Kernels in composition operators

Preeti Kumari, P. Muthukumar, Antti Rasila

2026-01-28

Machine Learning · Statistics

Reproducing kernel Hilbert spaces in the mean field limit

Christian Fiedler, Michael Herty, Michael Rom, Chiara Segala +1

2023-03-20

History and Overview · Mathematics

A Primer on Reproducing Kernel Hilbert Spaces

Jonathan H. Manton, Pierre-Olivier Amblard

2015-11-06

Quantum Physics · Physics

Product Representations and the Quantization of Constrained Systems

John R. Klauder

2007-05-23

Functional Analysis · Mathematics

Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions

Palle Jorgensen, Feng Tian

2015-08-17

Machine Learning · Statistics

The Reconstruction Approach: From Interpolation to Regression

Shifeng Xiong

2019-11-28

Machine Learning · Computer Science

Persistence kernels for classification: A comparative study

Cinzia Bandiziol, Stefano De Marchi

2024-08-15

Machine Learning · Statistics

Learning Sets with Separating Kernels

Ernesto De Vito, Lorenzo Rosasco, Alessandro Toigo

2014-11-26

Computational Complexity · Computer Science

Complexity of linear circuits and geometry

Fulvio Gesmundo, Jonathan Hauenstein, Christian Ikenmeyer, JM Landsberg

2015-03-11

Numerical Analysis · Mathematics

Fitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value Problems

Asad Freihat, Radwan Abu-Gdairi, Hammad Khalil, Eman Abuteen +2

2017-04-18

Computational Engineering, Finance, and Science · Computer Science

Rational kernel-based interpolation for complex-valued frequency response functions

Julien Bect, Niklas Georg, Ulrich Römer, Sebastian Schöps

2024-11-26

Numerical Analysis · Mathematics

Kernel-based collocation methods for Zakai equations

Yumiharu Nakano

2019-12-18

Statistics Theory · Mathematics

On the Robustness of Regularized Pairwise Learning Methods Based on Kernels

Andreas Christmann, Ding-Xuan Zhou

2015-10-13

Numerical Analysis · Mathematics

Regularization of Kriging interpolation on irregularly spaced data

Daniele Peri

2023-08-15

Numerical Analysis · Mathematics

On iterated interpolation

Steffen Börm

2021-12-10

Systems and Control · Electrical Eng. & Systems

Kernel-Based Learning of Stable Nonlinear Systems

Matteo Scandella, Michelangelo Bin, Thomas Parisini

2025-03-18

Numerical Analysis · Mathematics

Interpolation-based reproducing kernel particle method

Jennifer E. Fromm, John A. Evans, J. S. Chen

2025-06-19

Computer Vision and Pattern Recognition · Computer Science

Towards Reproducible Learning-based Compression

Jiahao Pang, Muhammad Asad Lodhi, Junghyun Ahn, Yuning Huang +1

2024-10-15

Numerical Analysis · Mathematics

Regularization of ill-posed problems with non-negative solutions

Christian Clason, Barbara Kaltenbacher, Elena Resmerita

2018-05-07

Data Analysis, Statistics and Probability · Physics

Kernel based unfolding of data obtained from detectors with finite resolution and limited acceptance

N. D. Gagunashvili, M. Schmelling

2012-09-19

Statistics Theory · Mathematics

Kernel methods in machine learning

Thomas Hofmann, Bernhard Schölkopf, Alexander J. Smola

2009-09-29

Functional Analysis · Mathematics

Some remarks about interpolating sequences in reproducing kernel Hilbert spaces

Mrinal Raghupathi, Brett D. Wick

2016-02-08