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Distributional Wavelet Transform
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pathak, R. S., Singh, Abhishek
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Distributional Watson Transforms
Canadian Journal of Mathematics, 1972All 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)
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Distributional Weber transformation
Journal and proceedings of the Royal Society of New South Wales, 1981The 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.
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Laplace Transformations of Distributions
Canadian Journal of Mathematics, 1966In 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
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Distribution transformers performance
2005 IEEE Russia Power Tech, 2005This paper present the results of a survey of load, no-load losses and dielectric strength of 123 new and repaired distribution transformers tested by the High Voltage Laboratory of the Federal University of Itajuba within a Research and Development Project in partnership with the AES-SUL - Distribuidora Gaucha de Energia S.A..
B. P. Cardoso +3 more
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Certain Fourier Transforms of Distributions
Canadian Journal of Mathematics, 1951Fourier transforms of distribution functions are frequently studied in the theory of probability. In this connection they are called characteristic functions of probability distributions. It is often of interest to decide whether a given function φ(t) can be the characteristic function of a ...
Lukacs, Eugene, Szász, Otto
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On Distributional Marchi-Zgrablich Transformation
IMA Journal of Applied Mathematics, 1985The authors extend the classical Marchi-Zgrablich transformations to generalized functions. A testing-function space \(MZ_{m,\nu}(I)\) and its dual are defined. The Marchi-Zgrablich transform of a generalized function \(f\in MZ_{m,\nu}(I)\) is defined as: \[ F(n)=, \] (details of the kernel \(xS_{\nu}\) are omitted) \(n=1,2,3,...;m\geq\), \(\nu\geq -\),
Bhosale, S. D., More, S. V.
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Distribution transformer development
Electronics and Power, 1985The distribution transformer has been with us for almost 100 years and is still evolving. The basic components - core, windings, tank and cooling medium - are all still subject to development, both in terms of refinements to established techniques and from the commercial exploitation of new ...
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Managing Distributive Transformers
2018The power companies are aiming for the more cost- effective delivery of high-quality electrical energy. In order to increase the economy and the quality of the electricity supply, it is necessary to connect the substations to the system by means of which remote control and management of substations are carried out.
Kiso, Ante +2 more
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