Results 11 to 20 of about 1,155,632 (287)
Trace-orthogonal normal bases [PDF]
Discrete Applied Mathematics, 1993 For \(q\) a prime power and \(n\geq 2\) an integer, let \(GF(q^ n)\) denote the finite field of order \(q^ n\) considered as a vector space of dimension \(n\) over \(GF(q)\). For \(\alpha\in GF(q^ n)\), a basis of the form \((\alpha, \alpha^ q,\cdots, \alpha^{q^{n-1}})\) is called a normal basis of \(GF(q^ n)\) over \(GF(q)\).
Jungnickel, Dieter
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Communications, 2012 The synthesis and analysis of effective practically realized algorithms of distinction of signals and images represented in bases of orthogonal polynomials was executed.
Oleg Vyacheslavovich Chernoyarov +1 more
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Gabor orthogonal bases and convexity [PDF]
Discrete Analysis, 2018 Gabor orthogonal bases and convexity, Discrete Analysis 2018:19, 11 pp. A fundamental way of understanding a function $f$ defined on $\mathbb R^d$ is to expand it in terms of a basis with nice properties.
Alex Iosevich, Azita Mayeli
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Homeomorphic Images of Orthogonal Bases
The Electronic Journal of Linear Algebra, 2016 Necessary and sufficient conditions are obtained for a sequence $\{x_j:~j\in \mathbb J\}$ in a Hilbert space to be, up to the elimination of a finite subset of $\mathbb J$, the linear homeomorphic image of an orthogonal basis of some Hilbert space $K$. This extends a similar result for orthonormal bases due to Holub [J.R. Holub.
Kebryaee, M., Radjabalipour, M.
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On orthogonal polynomials and related discrete integrable systems [PDF]
, 2006 Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
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On scalar products in higher rank quantum separation of variables
SciPost Physics, 2020 Using the framework of the quantum separation of variables (SoV) for higher rank quantum integrable lattice models [1], we introduce some foundations to go beyond the obtained complete transfer matrix spectrum description, and open the way to the ...
Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli
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Curl-conforming hierarchical vector bases for triangles and tetrahedra [PDF]
, 2011 A new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions span the curl-conforming reduced-gradient spaces of Nédélec.
Peterson A. F. +9 more
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Wavelets based on orthogonal polynomials [PDF]
Mathematics of Computation, 1997 We present a unified approach for the construction of polynomial wavelets. Our main tool is orthogonal polynomials. With the help of their properties we devise schemes for the construction of time localized polynomial bases on bounded and unbounded subsets of the real line. Several examples illustrate the new approach.
Bernd Fischer 0001, Jürgen Prestin
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The problem of mutually unbiased bases in dimension 6 [PDF]
, 2010 We outline a discretization approach to determine the maximal number of mutually unbiased bases in dimension 6. We describe the basic ideas and introduce the most important definitions to tackle this famous open problem which has been open for the ...
Jaming, Philippe +2 more
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Features of the construction of information transfer system which using two-dimensional signals [PDF]
ITM Web of Conferences, 2019 The article deals with analysis of the causes of intersymbol interference and interchannel interference. It is indicated that physically unrealizable orthogonal bases are used to describe systems and signals. The considered interference occurs due to the
Degtyaryov Andrey, Miryanova Vera
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