- Restriction theorem for Fourier-Dunkl transform II: Paraboloid, sphere, and hyperboloid surfaces
2022/12/21 by P Jitendra Kumar Senapati, Pradeep Boggarapu, Senapati, P Jitendra Kumar +5 · 3 citations
Mathematics · #43A32 #47B10 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fourier analysis #Fourier inversion theorem #Fourier transform #Fractional Fourier transform #Geometry #Hyperboloid #Laplace operator #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Orthonormal basis #Paraboloid #Physics #Primary: 42A38 #Pure mathematics #Quantum mechanics #Secondary: 42B35 #Spectral Theory in Mathematical Physics #Surface (topology)
- SU(1,1) approach to Stokes parameters and the theory of light polarization
2016/02/29 by R. D. Mota, D. Ojeda-Guillén, M. Salazar-Ramírez +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Affine Lie algebra #Algebra over a field #Boson #Casimir effect #Casimir element #Classical limit #Coherent states #Current algebra #Ellipse #Geometry #Hyperboloid #Mathematics #Mechanical and Optical Resonators #Optics #Orbital Angular Momentum in Optics #Physics #Polarization (electrochemistry) #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Stokes parameters #hep-th #math-ph #math.MP #physics.optics #quant-ph
- Weyl symmetric structure of QCD vacuum
2012/04/30 by Y. M. Cho, D. G. Pak, Pengming Zhang +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Hyperboloid #Instanton #Magnetic monopole #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Theoretical physics #hep-th
- Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry
2011/05/31 by Howard S. Cohl, Ernie G. Kalnins, E. G. Kalnins · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Classical orthogonal polynomials #Fourier transform #Gegenbauer polynomials #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Hyperbolic space #Hyperboloid #Laplace operator #Mathematical analysis #Mathematics #Orthogonal polynomials #Physics #math-ph #math.AP #math.DG #math.MP