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: Dirichlet’s convergence theorem for Fourier series of piecewise smooth functions | Statement: [Dirichlet kernel, usedInProofOf, Dirichlet’s convergence theorem for Fourier series of piecewise smooth functions]

Target entity: Dirichlet’s convergence theorem for Fourier series of piecewise smooth functions
Context triple: [Dirichlet kernel, usedInProofOf, Dirichlet’s convergence theorem for Fourier series of piecewise smooth functions]

• A. Dirichlet theorem on Fourier series chosen
  The Dirichlet theorem on Fourier series gives conditions under which a periodic function can be represented by a convergent Fourier series, specifying how and where the series converges to the function.
• B. Dini test for convergence of Fourier series
  The Dini test for convergence of Fourier series is a classical criterion in harmonic analysis that gives sufficient conditions, involving the behavior of a function near a point, to ensure the pointwise convergence of its Fourier series there.
• C. Fejér’s theorem on Fourier series
  Fejér’s theorem on Fourier series is a fundamental result in harmonic analysis stating that the Cesàro means (Fejér means) of the Fourier series of a continuous periodic function always converge uniformly to the function itself.
• D. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
  Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
• E. Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale
  "Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale" is a classic mathematical treatise by Ulisse Dini on Fourier series and related analytic methods for representing real-valued functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.