Results 231 to 240 of about 337,938 (272)

The Kontorovich–Lebedev transformation on distributions of compact support and its inversion

Mathematical Proceedings of the Cambridge Philosophical Society, 1975
1. During the past decade a variety of integral transformations have been extended to various classes of distributions. However, one important integral transformation, which has defied such generalization, is the Kontorovich–Lebedev transformation. The objective of this note is to alter that situation.
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Kotel'nikov-Shannon formula for Fourier transforms of distributions with compact supports

Ukrainian Mathematical Journal, 1995
Let \(F\) be a distribution with support \((-a,a)\) and order of singularity \(p.\) For the Fourier transform \(\widehat F\) of \(F\), an analogue of the Kotel'nikov formula is established.
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The generalized Stieltjes–Poisson transform over Lebesgue spaces and distributions of compact support

São Paulo Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maan, Jeetendrasingh, Negrín, E. R.
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A criterion for the compactness of the support of a generalized function (distribution) in terms of the Fourier-Laplace transform

Mathematical Notes, 2014
Using the Fragmen-Lindelof principle, we prove that, in the Paley-Wiener-Schwartz theorem, the condition imposed on the function can be replaced by two conditions whose validity is easier to verify in a number of cases.
V. Z. Meshkov, I. P. Polovinkin
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Cauchy and Poisson integral representations for ultradistributions of compact support and distributional boundary values

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisUltradistributions of compact support are represented as the boundary values of Cauchy and Poisson integrals corresponding to tubular radial domains Tc' =ℝn + iC', C'⊂⊂C, where C is an open, connected, convex cone. The Cauchy integral of is shown to be an analytic function in TC' which satisfies a certain boundedness condition.
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Corrigenda: Cauchy and Poisson integral representations for ultradistributions of compact support and distributional boundary values

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1984
Page 56: In the estimate , C1 = CSn/(2πσ)n, h = (2πσ)−1 where σ depends on y. Therefore, {fy(t)} may not be bounded in as y → 0, y ∈ C′.
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Performance analysis and computational cost evaluation of high-resolution time-frequency distributions derived from compact support time-lag kernels

Digital Signal Processing, 2018
Abstract This paper considers the objective performance evaluation of kernel-based time-frequency distributions (TFDs) using several concentration performance measures and resolution examination through a deep analysis of time slice plots. On the other hand, the numerical complexity of each TFD is evaluated; a parameter that is particularly critical ...
Mansour Abed, Adel Belouchrani
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Fourier-Laplace transforms of distributions with compact support and their imaginary zeros

2014
A nonzero polynomial is said to be positive if its coefficients are nonnegative. Motzkin and Straus [5] observe that if a real polynomial P(Z) has no positive zeros, then there is a positive polynomial Q(Z) such that P(Z).Q(Z) is positive. We interpret this analytically and prove analogous results for some real distributions with compact supports ...
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Functions of Exponential Type and Bounded on the Real Space ( Fourier Transforms of Distribution of Compact Support )

1992
In this chapter we consider entire functions of at most normal type with respect to the order 1 (i.e. functions of exponential type) that are bounded for real values of the variables. The importance of this class of functions is lies in the fact that it contains the Fourier transforms of functions of compact support and belonging to L1 (ℝn).
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Enhancement of a compact support time-frequency distribution derived from a polynomial kernel using image processing

2022 7th International Conference on Image and Signal Processing and their Applications (ISPA), 2022
Mohammed Amin Adoul, Mansour Abed, Adel Belouchrani   +2 more
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