Results 261 to 270 of about 52,376 (308)

Multispectroscopic Investigation of the Organosilyl Ether <i>sec</i>-Butoxytrimethylsilane. [PDF]

open access: yesJ Phys Chem A
Berggötz FEL   +6 more
europepmc   +1 more source

FAST NONLINEAR FOURIER EXPANSIONS

Advances in Adaptive Data Analysis, 2009
Motivated by the analytic signal approach and general construction methods by Qian et al. (accepted by Adv. Comput. Math.), we construct a class of orthonormal bases for the real signal space [Formula: see text], which have nonconstant physically meaningful instantaneous frequencies.
Rui Wang 0096   +2 more
openaire   +1 more source

Random Homeomorphisms and Fourier Expansions

Geometric And Functional Analysis, 1998
In this paper the authors prove that a random change of variable in general improves convergence properties of the Fourier expansions and they present a quantitative estimate of this phenomenon. It is well known that the best possible estimate of the Fourier partial sums \(S(n,f;x)\) for \(f\) in \(C(T)\), the continuous functions on the circle group \(
Kozma, G., Olevskiĭ, A.
openaire   +2 more sources

A Nonorthogonal Fourier Expansion for Conic Decomposition

Mathematics of Operations Research, 1981
The problem considered is that of constructing the decomposition of a vector in a Hilbert space into two orthogonal components; one (the “projection”) in a given cone, and the other in the polar cone. The projection z* can be expressed as a Fourier type expansion. An algorithm for constructing this expansion is given, and shown to converge to z*.
J. Barzilai, Aharon Ben-Tal
openaire   +2 more sources

Notes on Fourier Expansions (II)

Journal of the London Mathematical Society, 1946
Not ...
openaire   +3 more sources

Information Sufficiency via Fourier Expansion

2021 IEEE International Symposium on Information Theory (ISIT), 2021
We take an information-theoretic approach to identify nonlinear feature redundancies in unsupervised learning. We define a subset of features as sufficiently-informative when the joint entropy of all the input features equals that of the chosen subset. We argue that the rest of the features are redundant as all the accessible information about the data
Mohsen Heidari   +3 more
openaire   +1 more source

Fourier Expansions of Piecewise Smooth Functions

Mediterranean Journal of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COLZANI, LEONARDO   +2 more
openaire   +1 more source

Fourier--Hermite Expansions for Nonlinear Filtering

Theory of Probability & Its Applications, 2000
Since the celebrated work of Kalman and Bucy, recursive filters described by stochastic differential equations have become predominant in filtering of randomly perturbed dynamic systems. The Kalman-Bucy approach was extended to nonlinear systems. According to this theory, the nonlinear filtering problem boils down to solve the Zakai equation for the (a
Mikulevicius, R., Rozovskii, B. L.
openaire   +2 more sources

The expansion and Fourier's transform of

Integral Transforms and Special Functions, 1995
In this paper we show two results. At the first section we obtain an expansion in series (of Tylor's type) of the distributions where m is a positive real number and P is defined in (1), and using that expansion, at the paragraph 4.1 we get the Fourier's transform of .
openaire   +1 more source

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