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- Glenn R. Easley, Demetrio Labate, Flavia Colonna
- IEEE Transactions on Image Processing
- 2009

We propose a shearlet formulation of the total variation (TV) method for denoising images. Shearlets have been mathematically proven to represent distributed discontinuities such as edges better than traditional wavelets and are a suitable tool for edge characterization. Common approaches in combining wavelet-like representations such as curvelets with TV… (More)

The study of biharmonic functions under the ordinary (Euclidean) Laplace operator on the open unit disk D in C arises in connection with plate theory, and in particular, with the biharmonic Green functions which measure, subject to various boundary conditions, the deflection at one point due to a load placed at another point. A homogeneous tree T is widely… (More)

- Carlo Caporale, Carla Caruso, +7 authors Paola Stiuso
- European journal of biochemistry
- 2004

We have investigated the molecular mechanisms that produce different structural and functional behavior in the monomeric and trimeric forms of seminal vesicle protein no. 4, a protein with immunomodulatory, anti-inflammatory, and procoagulant activity secreted from the rat seminal vesicle epithelium. The monomeric and trimeric forms were characterized in… (More)

—We propose a shearlet formulation of the total variation (TV) method for denoising images. Shearlets have been mathematically proven to represent distributed discontinuities such as edges better than traditional wavelets and are a suitable tool for edge characterization. Common approaches in combining wavelet-like representations such as curvelets with TV… (More)

- Flavia Colonna, Glenn R. Easley
- Journal of Mathematical Imaging and Vision
- 2005

We introduce and study a new class of Radon transforms in a discrete setting for the purpose of applying them to the ridgelet and curvelet transforms. We give a detailed analysis of the p-adic case and provide a closed-form formula for an inverse of the p-adic Radon transform. We give conditions for a scaled version of the generalized discrete Radon… (More)

- Ibtesam Bajunaid, Joel M. Cohen, Flavia Colonna, David Singman
- The American Mathematical Monthly
- 2005

1. INTRODUCTION. The delight of finding unexpected connections is one of the rewards of studying mathematics. In this paper we present connections that link the following seven superficially unrelated entities:

Let D be a bounded homogeneous domain in C , and let A denote the open unit disk. If z e D and /: D —► A is holomorphic, then ß/(z) is defined as the maximum ratio \Vz(f)x\/Hz(x, 3c)1/2 , where x is a nonzero vector in C and Hz is the Bergman metric on D. The number ßf(z) represents the maximum dilation of / at z. The set consisting of all ß/(z), for z e D… (More)

Let ϕ be an analytic self-map of the open unit disk D in the complex plane C and let u be a fixed analytic function on D. The weighted composition operator is defined on the space H(D) of analytic functions on D by uCϕf = u · (f • ϕ), f ∈ H(D). In this work, we characterize the bounded and the compact weighted composition operators from the Besov spaces Bp… (More)

Let ϕ be a holomorphic self-map of a bounded homogeneous domain D in C n. In this work, we show that the composition operator Cϕ : f → f • ϕ is bounded on the Bloch space B of the domain and provide estimates on its operator norm. We also give a sufficient condition for ϕ to induce an isometry on B. This condition allows us to construct non-trivial examples… (More)

In this paper, we establish bounds on the norm of multiplication operators on the Bloch space of the unit disk via weighted composition operators. In doing so, we characterize the isometric multiplication operators to be precisely those induced by constant functions of modulus 1. We then describe the spectrum of the multiplication operators in terms of the… (More)