Symplectic Geometry and Fourier Analysis

Target entity: Symplectic Geometry and Fourier Analysis
Context triple: [Nolan Wallach, hasWrittenWork, Symplectic Geometry and Fourier Analysis]

• A. Introduction to Symplectic Topology
  Introduction to Symplectic Topology is a foundational graduate-level textbook that systematically develops the theory and applications of symplectic manifolds and symplectic geometry.
• B. Fourier restriction theory
  Fourier restriction theory is a branch of harmonic analysis that studies when and how the Fourier transform of a function can be meaningfully restricted to lower-dimensional subsets such as curves or surfaces.
• C. 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.
• D. McDuff–Salamon theory of J-holomorphic curves
  The McDuff–Salamon theory of J-holomorphic curves is a foundational framework in symplectic geometry that systematically develops the analysis, topology, and applications of pseudoholomorphic curves in symplectic manifolds.
• E. Kähler geometry
  Kähler geometry is a branch of differential geometry studying complex manifolds equipped with a compatible symplectic form and Riemannian metric, leading to rich interactions between complex, symplectic, and Riemannian geometry.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Symplectic Geometry and Fourier Analysis
Target entity description: "Symplectic Geometry and Fourier Analysis" is a mathematical work by Nolan Wallach that explores the interplay between symplectic geometry, representation theory, and Fourier-analytic methods.

• A. Introduction to Symplectic Topology
  Introduction to Symplectic Topology is a foundational graduate-level textbook that systematically develops the theory and applications of symplectic manifolds and symplectic geometry.
• B. Fourier restriction theory
  Fourier restriction theory is a branch of harmonic analysis that studies when and how the Fourier transform of a function can be meaningfully restricted to lower-dimensional subsets such as curves or surfaces.
• C. 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.
• D. McDuff–Salamon theory of J-holomorphic curves
  The McDuff–Salamon theory of J-holomorphic curves is a foundational framework in symplectic geometry that systematically develops the analysis, topology, and applications of pseudoholomorphic curves in symplectic manifolds.
• E. Kähler geometry
  Kähler geometry is a branch of differential geometry studying complex manifolds equipped with a compatible symplectic form and Riemannian metric, leading to rich interactions between complex, symplectic, and Riemannian geometry.
• F. None of above. chosen