Jessen’s theorem in harmonic analysis

Target entity: Jessen’s theorem in harmonic analysis
Context triple: [Børge Jessen, contributedTo, Jessen’s theorem in harmonic analysis]

• A. Three regularity results in harmonic analysis
  "Three regularity results in harmonic analysis" is the doctoral thesis of mathematician Terence Tao, focusing on advanced problems in harmonic analysis and the study of regularity properties of functions and operators.
• B. Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
  "Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals" is a foundational graduate-level textbook by Elias Stein that systematically develops modern harmonic analysis using real-variable techniques, emphasizing singular integrals, Littlewood–Paley theory, and oscillatory integral methods.
• C. Carleson theorem on almost-everywhere convergence
  The Carleson theorem on almost-everywhere convergence is a fundamental result in harmonic analysis stating that the Fourier series of any square-integrable function on the circle converges almost everywhere to the function itself.
• D. Singular Integrals and Differentiability Properties of Functions
  "Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
• E. Bochner–Riesz means
  Bochner–Riesz means are a family of summability methods in harmonic analysis used to improve the convergence of Fourier series and Fourier integrals by smoothing their partial sums.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Jessen’s theorem in harmonic analysis
Target entity description: Jessen’s theorem in harmonic analysis is a result that provides conditions under which certain trigonometric or Fourier series converge almost everywhere, reflecting Børge Jessen’s contributions to the study of convergence phenomena in harmonic analysis.

• A. Three regularity results in harmonic analysis
  "Three regularity results in harmonic analysis" is the doctoral thesis of mathematician Terence Tao, focusing on advanced problems in harmonic analysis and the study of regularity properties of functions and operators.
• B. Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
  "Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals" is a foundational graduate-level textbook by Elias Stein that systematically develops modern harmonic analysis using real-variable techniques, emphasizing singular integrals, Littlewood–Paley theory, and oscillatory integral methods.
• C. Carleson theorem on almost-everywhere convergence
  The Carleson theorem on almost-everywhere convergence is a fundamental result in harmonic analysis stating that the Fourier series of any square-integrable function on the circle converges almost everywhere to the function itself.
• D. Singular Integrals and Differentiability Properties of Functions
  "Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
• E. Bochner–Riesz means
  Bochner–Riesz means are a family of summability methods in harmonic analysis used to improve the convergence of Fourier series and Fourier integrals by smoothing their partial sums.
• F. None of above. chosen