Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Poisson kernel on the real line | Statement: [Poisson integral, relatedTo, Poisson kernel on the real line]

Target entity: Poisson kernel on the real line
Context triple: [Poisson integral, relatedTo, Poisson kernel on the real line]

• A. Poisson kernel chosen
  The Poisson kernel is a fundamental function in harmonic analysis and potential theory used to represent harmonic functions inside a domain from their boundary values, especially in the unit disk and upper half-plane.
• B. Poisson integral
  The Poisson integral is a fundamental formula in harmonic analysis that reconstructs harmonic functions inside a disk (or half-plane) from their boundary values using the Poisson kernel.
• C. Nevanlinna–Pick kernels
  Nevanlinna–Pick kernels are special positive-definite kernels that characterize when and how analytic interpolation problems of Nevanlinna–Pick type admit solutions, often serving as the reproducing kernels of associated Hilbert spaces of analytic functions.
• D. Herglotz functions
  Herglotz functions are analytic functions on the upper half-plane with nonnegative imaginary part, central in complex analysis and operator theory due to their integral representation and role in moment and interpolation problems.
• E. Fejér kernel
  The Fejér kernel is a sequence of nonnegative trigonometric polynomials used in Fourier analysis to study and ensure the Cesàro (Fejér) summability of Fourier series.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.