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: Szegő projection | Statement: [Szegő kernel, usedIn, Szegő projection]

Target entity: Szegő projection
Context triple: [Szegő kernel, usedIn, Szegő projection]

• A. Szegő kernel
  The Szegő kernel is a fundamental reproducing kernel in complex analysis and operator theory, associated with Hardy spaces on the boundary of a domain and central to the study of orthogonal polynomials and boundary behavior of analytic functions.
• B. Szegő limit theorem
  The Szegő limit theorem is a fundamental result in analysis and operator theory that describes the asymptotic behavior of determinants of large Toeplitz matrices in terms of the symbol’s integral.
• C. Riesz projection
  The Riesz projection is a linear operator in functional analysis that projects onto the invariant subspace associated with a portion of the spectrum of a bounded linear operator, defined via contour integration of its resolvent.
• D. Blaschke products
  Blaschke products are bounded analytic functions on the unit disk formed as (finite or infinite) products of Möbius transformations that map the disk to itself, playing a central role in complex analysis and function theory.
• E. Carathéodory–Fejér interpolation
  Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Szegő projection
Target entity description: The Szegő projection is an orthogonal projection operator in complex analysis that maps square-integrable boundary functions onto the Hardy space of boundary values of holomorphic functions, typically represented via the Szegő kernel.

• A. Szegő kernel chosen
  The Szegő kernel is a fundamental reproducing kernel in complex analysis and operator theory, associated with Hardy spaces on the boundary of a domain and central to the study of orthogonal polynomials and boundary behavior of analytic functions.
• B. Szegő limit theorem
  The Szegő limit theorem is a fundamental result in analysis and operator theory that describes the asymptotic behavior of determinants of large Toeplitz matrices in terms of the symbol’s integral.
• C. Riesz projection
  The Riesz projection is a linear operator in functional analysis that projects onto the invariant subspace associated with a portion of the spectrum of a bounded linear operator, defined via contour integration of its resolvent.
• D. Blaschke products
  Blaschke products are bounded analytic functions on the unit disk formed as (finite or infinite) products of Möbius transformations that map the disk to itself, playing a central role in complex analysis and function theory.
• E. Carathéodory–Fejér interpolation
  Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
• F. None of above.