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: Abel transform | Statement: [Abel summation, relatedConcept, Abel transform]

Target entity: Abel transform
Context triple: [Abel summation, relatedConcept, Abel transform]

• A. Hilbert transform
  The Hilbert transform is an integral transform that produces the harmonic conjugate of a real-valued function, playing a central role in signal processing, harmonic analysis, and the theory of analytic signals.
• B. Bailey transform
  The Bailey transform is a technique in the theory of basic hypergeometric series that relates pairs of sequences (Bailey pairs) and underlies many identities and transformations in q-series and partition theory.
• C. Sommerfeld-Watson transform
  The Sommerfeld-Watson transform is a complex-analysis technique that converts discrete sums over angular momentum into contour integrals, widely used in scattering theory and Regge theory to study analytic properties of amplitudes.
• D. Gabor transform
  The Gabor transform is a time–frequency analysis technique that represents signals using localized sinusoidal functions, enabling detailed examination of how a signal’s frequency content evolves over time.
• E. Radon transform
  The Radon transform is an integral transform that maps a function to its line integrals over hyperplanes, forming the mathematical foundation of computed tomography and various inverse problems in imaging.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Abel transform
Target entity description: The Abel transform is an integral transform used to reconstruct a radially symmetric function from its line-of-sight projections, widely applied in fields such as tomography, plasma diagnostics, and astrophysics.

• A. Hilbert transform
  The Hilbert transform is an integral transform that produces the harmonic conjugate of a real-valued function, playing a central role in signal processing, harmonic analysis, and the theory of analytic signals.
• B. Bailey transform
  The Bailey transform is a technique in the theory of basic hypergeometric series that relates pairs of sequences (Bailey pairs) and underlies many identities and transformations in q-series and partition theory.
• C. Sommerfeld-Watson transform
  The Sommerfeld-Watson transform is a complex-analysis technique that converts discrete sums over angular momentum into contour integrals, widely used in scattering theory and Regge theory to study analytic properties of amplitudes.
• D. Gabor transform
  The Gabor transform is a time–frequency analysis technique that represents signals using localized sinusoidal functions, enabling detailed examination of how a signal’s frequency content evolves over time.
• E. Radon transform
  The Radon transform is an integral transform that maps a function to its line integrals over hyperplanes, forming the mathematical foundation of computed tomography and various inverse problems in imaging.
• F. None of above. chosen