A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for Fourier transform [PDF]
, 2004 A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are ...
Hanna, George T +5 more
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Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
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Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]
, 2004 In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T +2 more
core +6 more sources
Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality [PDF]
, 2004 Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T +2 more
core +6 more sources
Alexandria Engineering Journal, 2023 The extended thermoelastic theory with fractional derivative is described in this article to estimate temperature variation, displacement components, and stress components in two-dimensional orthotropic materials.
Aatef Hobiny, Ibrahim A. Abbas
doaj +1 more source
Modified Fourier expansions: theory, construction and applications [PDF]
, 2010 Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation, and ...
core +2 more sources
Asymptotic behavior of Fourier-Laplace transform [PDF]
Journées équations aux dérivées partielles, 1993 The paper is a summary of a manuscript of the author and a collaborator, Ragnar Sigurdsson, where they studied the asymptotic Fourier-Laplace transform behaviour of a function \(f \in {\mathcal E}' (\mathbb{R}^ n)\). As a summary, the paper contains a lot of results, densely presented, closely connected with the differential operators with constant ...
openaire +2 more sources
On Fourier - Laplace transform of a class of generalized functions [PDF]
Ufa Mathematical Journal, 2020 Summary: We consider a subspace of Schwartz space of fast decaying infinitely differentiable functions on an unbounded closed convex set in a multidimensional real space with a topology defined by a countable family of norms constructed by means of a family \(\mathfrak{M}\) of a logarithmically convex sequences of positive numbers.
openaire +1 more source
Fast logarithmic Fourier-Laplace transform of nonintegrable functions [PDF]
Physical Review E, 2019 14 pages, 8 ...
Lang, J., Frank, B.
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Applications of Fourier transform infrared spectroscopy [PDF]
, 2012 Podeu consultar el llibre complet a: http://hdl.handle.net/2445/32166This article summarizes the basic principles of Fourier Transform Infrared Spectroscopy, with examples of methodologies and applications to different field ...
Ferrer i Felis, Núria
core +6 more sources