Palle E. T. Jorgensen

collaborators

3 papers

math.FA2026

Use of operator defect identities in multi-channel signal plus residual-analysis via iterated products and telescoping energy-residuals: Applications to kernels in machine learning

Palle E. T. Jorgensen, Myung-Sin Song, James F. Tian

We present a new operator theoretic framework for analysis of complex systems with intrinsic subdivisions into components, taking the form of "residuals" in general, and "telescopi…

math.OA2025

Factorization of positive definite kernels. Correspondences: $C^{*}$ -algebraic and operator valued context vs scalar valued kernels

Palle E. T. Jorgensen, James Tian

We introduce and study a class $M$ of generalized positive definite kernels of the form $K : X \times X \to L (A, L (H))$ , where $A$ is a unital $C^{…

math.FA2025

New duality in choices of feature spaces via kernel analysis

Palle E. T. Jorgensen, James Tian

We present a systematic study of the family of positive definite (p.d.) kernels with the use of their associated feature maps and feature spaces. For a fixed set $X$ , generalizing…

Use of operator defect identities in multi-channel signal plus residual-analysis via iterated products and telescoping energy-residuals: Applications to kernels in machine learning

Factorization of positive definite kernels. Correspondences: C∗-algebraic and operator valued context vs scalar valued kernels

New duality in choices of feature spaces via kernel analysis

Factorization of positive definite kernels. Correspondences: $C^{*}$ -algebraic and operator valued context vs scalar valued kernels