Operator Theory/

The Reproducing Kernel Property and Its Space: The Basics

Reference Work Entry

The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications

Reference Work Entry

The Use of Kernel Functions in Solving the Pick Interpolation Problem
Jim Agler, John E. McCarthy


Bergman Kernel in Complex Analysis
Łukasz Kosiński, Włodzimierz Zwonek

Sampling Theory and Reproducing Kernel Hilbert Spaces
Antonio G. García

Reproducing Kernels in Coherent States, Wavelets, and Quantization
Syed Twareque Ali

Geometric Perspectives on Reproducing Kernels
Daniel Beltiţǎ, José E. Galé

Indefinite Inner Product Spaces


Multi-valued Operators/Linear Relations Between Kreĭn Spaces
HendrikLuit Wietsma

Symmetric and Isometric Relations
Hendrik Luit Wietsma

Boundary Triplets, Weyl Functions, and the Kreĭn Formula
Vladimir Derkach

Contractions and the Commutant Lifting Theorem in Kreĭn Spaces
Michael Dritschel

Locally Definitizable Operators: The Local Structure of the Spectrum
Carsten Trunk

Schur Analysis in an Indefinite Setting
Aad Dijksma

Reproducing Kernel Kreĭn Spaces
Aurelian Gheondea

Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior
Annemarie Luger

Indefinite Hamiltonians
Michael Kaltenbäck

The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems
Andreas Fleige

Finite-Dimensional Indefinite Inner Product Spaces and Applications in Numerical Analysis
Christian Mehl

The Algebraic Riccati Equation and Its Role in Indefinite Inner Product Spaces
André C. M. Ran

de Branges Spaces

Hilbert Spaces of Entire Functions: Early History
James Rovnyak