Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
May 6, 2026Open Access

On the Spectral Norm of the Discrete Abel Integral Operator: Numerical Convergence and the Emergence of the Ontological Conductivity Constant C∞

View Full Paper
Ask AI
Bookmark
Share

Authors

OGOleg Glushkov

Discussion

Loading...

Member takes

Overview

Numerical convergence reveals a fundamental constant for the spectral norm in the discrete Abel operator, suggesting new properties of localized fields.

Key Points

  • The research aims to investigate the spectral properties of the symmetric Abel integral operator in relation to its operator norm and a proposed fundamental constant.
  • Analyzed the spectral properties of the symmetric Abel integral operator on L2[0, 1] with a specific kernel.
  • Utilized high-precision numerical discretization and finite-size scaling techniques to assess the operator norm.
  • Determined the operator norm for an N × N quadrature discretization.
  • Established that the operator norm approximates a fundamental constant C∞ ≈ 2.6828.
  • Demonstrated that the operator norm satisfies ∥TN∥ ∼ C∞√N, indicating a relationship with quadrature discretizations.

Cite This Study

Oleg Glushkov (2026) studied this question.

synapsesocial.com/papers/69fa979b04f884e66b5317c9https://doi.org/10.5281/zenodo.20030700
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1On the Spectral Norm of the Discrete Abel Integral Operator: Numerical Convergence and the Emergence of the Ontological Conductivity Constant C∞2026
  2. 2On a Class of Infinite Hermitised Toeplitz-Catalan Operators and Their Bounded Spectral Properties2026
  3. 3Spectral Normalization and the Emergence of a Computational Boundary in Elliptic Operators2026
  4. 4Diffusion Operators on p-adic Analytic Manifolds2026 · 1 citations
  5. 5A Dual Operator for Prime–Zero Coupling and a Conditional Proof of Energy Asymmetry2026