Results 241 to 250 of about 245,521 (278)

Distributional Wavelet Transform

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pathak, R. S., Singh, Abhishek
openaire   +1 more source

Distributional Watson Transforms

Canadian Journal of Mathematics, 1972
All our notation is as denned in [2] with the restriction to n = 1. However, for our purposes, we introduce a sequence of norms byin It is not difficult to see that turns out to be a fundamental space.It is a well-known fact that the Watson transform and the Mellin transform are connected by the fact thatandif and only if K(s)K(l — s) = 1, where K(s)
openaire   +1 more source

Distributional Weber transformation

Journal and proceedings of the Royal Society of New South Wales, 1981
The classical Weber transformation \[ F(u)=\int_a^\infty t[J_\nu(tu)Y_\nu(au)-J_\nu(au)Y_\nu(tu)] f(\tau)\,d\tau \] is extended to a class of generalized functions. An inversion formula is obtained and some applications are given. Notice that in equation (8) the lower limit for \(t\)-integral should be \(a\), and in equation (41), and in all others ...
Pathak, R. S., Pandey, R. K.
openaire   +2 more sources

Laplace Transformations of Distributions

Canadian Journal of Mathematics, 1966
In a previous paper (2), I discussed conditions in order that a holomorphic function f(w) be a Laplace transform of a function F(t) such that, for some a, F(t)e-at ∈ Lp(0, ∞). These conditions involved (a) the behaviour of integral transforms of the values of the function on a vertical line w = const, and (b) conditions involving the order of magnitude
openaire   +2 more sources

Home - About - Disclaimer - Privacy