IEEE

Even More Inversion Formulas for the 2D Radon Transform of Functions of Compact and Convex Support

Abstract: In 2004, Clackdoyle and Noo published a class of inversion formulas for the 2D Radon transform which depends on the known radius of support of the unknown function. In this work, we extend ...
IEEE

On characterization of the range and inversion formulas for the geodesic X-ray transform

Abstract: We describe a relation between the scattering relation, the Hilbert transform in frequency space, and the geodesic ray transform for simple, two-dimensional compact Riemannian manifolds with ...
Scientific Research Publishing

Yakubovich, S.B. (2009) Beurling’s Theorems and Inversion Formulas for Certain Index Transforms. Opuscula Mathematica, 29, 93-110.

ABSTRACT: The SABR stochastic volatility model with β-volatility β ? (0,1) and an absorbing barrier in zero imposed to the forward prices/rates stochastic process is studied. The presence of (possibly ...
Scientific Research Publishing

S. B. Yakubovich, “Beurling’s Theorems and Inversion Formulas for Certain Index Transforms,” Opuscula Mathematica, Vol. 29, No. 1, 2009, pp. 93-110.

ABSTRACT: An explicit formula for the transition probability density function of the Hull and White stochastic volatility model in presence of nonzero correlation between the stochastic differentials ...