منابع مشابه
An integral transform related to quantization
Related Articles Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows J. Math. Phys. 53, 023501 (2012) Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids J. Math. Phys. 53, 013502 (2012) Thermal analysis of high intensity organic light-emitting diodes based on a transmission matrix approach J. Appl. Phys. 110, 124516 ...
متن کاملInversion of the Star Transform
INVERSION OF THE STAR TRANSFORM Fan Zhao Vadim A. Markel We define the star transform as a generalization of the broken ray transform for image reconstruction in single scattering tomography. Using the star transform provides advantages including possibility to reconstruct the absorption and the scattering coefficients of the medium separately and simultaneously. We derive the star transform fr...
متن کاملInversion of the Laplace transform
Let J% exp(-PQf(t) dt = F(P) P > 0 where b > 0 is a given number. We give a formula for f (t) in terms of F (p) , p > 0. The object of this Letter is to give a formula for the inverse Laplace transform in which the data used are given on the semi-axis p > 0 only. Let P>O where b > 0 is a fixed number. We have (1, formula 4.14.1) where Jo is a Bessel function. It follows from (1) and (2) that s,...
متن کاملInversion of the circular Radon transform on an annulus
The representation of a function by its circular Radon transform (CRT) and various related problems arise in many areas of mathematics, physics and imaging science. There has been a substantial spike of interest towards these problems in the last decade mainly due to the connection between the CRT and mathematical models of several emerging medical imaging modalities. This paper contains some n...
متن کاملLaplace transform numerical inversion v3.0
When running an analytical liquid rate simulation on a bounded reservoir an artefact due to Laplace transform numerical inversion algorithm can be noticed. This issue can be illustrated with a simple example: liquid rate simulation on a closed circular homogeneous reservoir with a fracture. The details of the simulation are graphically given in Figure 1(a). The simulation results can be seen in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1958
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1958-0098960-x