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Continuous Curvelet Transform: I. Resolution of the Wavefront Set Emmanuel J. Cand`es and David L. Donoho Abstract We discuss a Continuous Curvelet Transform (CCT), a transform f
→ Γf (a, b, θ) of functions f (x1 ,

Source URL: www.curvelet.org

• Integral transforms
• Fourier transform
• Joseph Fourier
• Polar coordinate system
• Trigonometric functions
• Rotation matrix
• Wave front set
• Mathematical analysis
• Mathematics
• Fourier analysis

Electronic Journal of Differential Equations, Vol[removed]), No. 132, pp. 1–23. ISSN: [removed]URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu (login: ftp) A DISTRIBUTIONAL S

Source URL: ejde.math.txstate.edu

• Integral transforms
• Functional analysis
• Fourier transform
• Distribution
• Dirac measure
• Wave front set
• Ordinary differential equation
• Dirac delta function
• Heat equation
• Mathematical analysis
• Generalized functions
• Fourier analysis

2. High frequency asymptotics and imaging operators 1 Importance of high frequency asymptotics: when linearization is accurate, properties of F [v] dominated by those of Fδ [v] (=

Source URL: www.trip.caam.rice.edu

• Fourier transform
• Joseph Fourier
• Wave front set
• Symbol
• Spectral theory of ordinary differential equations
• Mathematical analysis
• Fourier analysis
• Generalized functions