A comparison theorem between Radon and Fourier-Laplace transforms for D-modules

A note on the comparison between Laplace and Sumudu transforms

a note on the comparison between laplace and sumudu transforms

Aperture Compensated Radon and Fourier Transforms

In seismic data analysis, recorded data often are transformed to various domains to discriminate against coherent and incoherent noise. For instance, by mapping a shot record from time-space domain to frequency-wavenumber domain, coherent linear noise can be attenuated. Similarly, by mapping a common-midpoint gather from time-space to timevelocity domain (velocity stacks) multiples are separate...

A Finite-Interval Uniqueness Theorem for Bilateral Laplace Transforms

Two or more bilateral Laplace transforms with a complex argument “s” may be equal in a finite vertical interval when, in fact, the transforms correspond to different functions. In this article, we prove that the existence of a bilateral Laplace transform in any finite horizontal interval uniquely determines the corresponding function. The result appears to be new as we could not find it in the ...

A Tauberian Theorem for Laplace Transforms with Pseudofunction Boundary Behavior

The prime number theorem provided the chief impulse for complex Tauberian theory, in which the boundary behavior of a transform in the complex plane plays a crucial role. We consider Laplace transforms of bounded functions. Our Tauberian theorem does not allow first-order poles on the imaginary axis, but any milder singularities, characterized by pseudofunction boundary behavior, are permissibl...