Results 191 to 200 of about 1,122,320 (225)

Fourier-Laplace transforms decaying exponentially

Mathematical Proceedings of the Cambridge Philosophical Society, 1988
Let ƒ(x) be a C-valued function which is integrable with respect to a positive measure m on the Borel σ-field of R = (– ∞, ∞). We shall give necessary and sufficient conditions under which the following Fourier-Laplace transform f(λ) of ƒ(x) decays exponentially as λ → ∞:where θ is a constant with –π/2 ≤ θ ≤ π/2.
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WEIGHTED FOURIER-LAPLACE TRANSFORMS OF ANALYTIC FUNCTIONALS ON THE DISK

Russian Academy of Sciences. Sbornik Mathematics, 1994
Summary: A study is made of the question as to whether the space \(\widehat L^ a_ 2(D,\mu)\) has a norm of the form \[ \|\widehat f\|_ \nu= \int^ \infty_ 0 \int^{2\pi}_ 0 | \widehat f(xe^{i\theta})|^ 2d\nu(xe^{i\theta}) \] equivalent to the norm \[ \|\widehat f\|_{\widehat L^ a_ 2(D,\mu)}\overset{\text{def}}= \| f\|_{L^ a_ 2(D,\mu)}, \] where \(\nu ...
Napalkov, V. V., Yulmukhametov, R. S.
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A generalized transform, grouping, Fourier, Laplace and Z transforms

The 14th International Conference on Microelectronics,, 2004
The following is a summary description of some research results that were taught to students over many years and communicated by the author in IEEE Proceedings submission, in the book proposals, and poster sessions. A generalized transform, grouping Fourier and Laplace transform in the continuous-time domain and Fourier and z transform in the discrete ...
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Asymptotic decay of Fourier, Laplace and other integral transforms

Journal of Mathematical Analysis and Applications, 2020
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Colzani, Leonardo, Fontana, Luigi, Laeng, Enrico   +2 more
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A note on holomorphic functions and the Fourier-Laplace transform

MATHEMATICA SCANDINAVICA, 2017
We revisit the classical problem of when a given function, which is analytic in the upper half plane $\mathbb{C} _+$, can be written as the Fourier transform of a function or distribution with support on a half axis $(-\infty ,b]$, $b\in \mathbb{R} $.
Marcus Carlsson, Jens Wittsten
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The Fourier, Laplace, and z-Transforms

2017
The study of signals and systems can be carried out in terms of either a time-domain or a transform-domain formulation. The transform-domain approach to signals and systems is based on the transformation of functions using the Fourier, Laplace, and z-transforms. This chapter deals with the Fourier transform (FT), which can be viewed as a generalization
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Tables of Fourier, Laplace and Hankel Transforms of (u,n)-Dimensional Generalized Functions

Acta Applicandae Mathematica, 1997
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Aguirre Téllez, Manuel A., Cerutti, Rubén Alejandro, Trione, Susana Elena   +2 more
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Growth properties of plurisubharmonic functions related to Fourier-Laplace transforms

Journal of Geometric Analysis, 1998
The purpose of the paper is to study the behavior at infinity of Fourier-Laplace transforms of distributions or more generally plurisubharmonic functions \(u\) in \({\mathbb C}^n\), \(u\in PSH({\mathbb C}^n)\). If \(H\) is a supporting function in \({\mathbb R}^n\), that is, \(H\) is convex and positively homogeneous of degree 1, then \(P_H\) will ...
Hörmander, Lars, Sigurdsson, Ragnar
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Note on the Fourier-Laplace Transform of $\overline{\partial}$-Cohomology Classes

Zeitschrift für Analysis und ihre Anwendungen, 1998
We construct the inverse of the Fourier-Laplace transform of \overline{\partial} -cohomology classes (of (n, n–1) -forms) in the complement of a convex compact set ...
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Verification of Congruency and Coherence of Fourier, Laplace, and Z Transformations

International Journal of Student Project Reporting, 2021
Klejda Kumi, Regi Berisha, Xhesika Biçaku, Raziena Uruçi, Carlo Ciulla   +4 more
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