Results 11 to 20 of about 21,325 (267)

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
openaire   +2 more sources

Gabor orthogonal bases and convexity

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
doaj   +1 more source

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
doaj   +1 more source

Quadratic Phase Multiresolution Analysis and the Construction of Orthonormal Wavelets in L²(ℝ)

Axioms, 2023
The multi-resolution analysis (MRA) associated with quadratic phase Fourier transform (QPFT) serves as a tool to construct orthogonal bases of the L2(R). Consequently, it assumes a pivotal role in facilitating potential applications of QPFT.
Bivek Gupta, Navneet Kaur, Amit K. Verma, Ravi P. Agarwal   +3 more
doaj   +1 more source

Orthogonal bases in a topological algebra are Schauder bases

International Journal of Mathematics and Mathematical Sciences, 1992
In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.
Subbash J. Bhatt, G. M. Deheri
doaj   +1 more source

Orthogonal Bases for Vertex-Mapped Pyramids [PDF]

SIAM Journal on Scientific Computing, 2016
Discontinuous Galerkin (DG) methods discretized under the method of lines must handle the inverse of a block diagonal mass matrix at each time step. Efficient implementations of the DG method hinge upon inexpensive and low-memory techniques for the inversion of each dense mass matrix block.
Jesse Chan, Timothy C. Warburton
openaire   +4 more sources

Quantum Cryptography Based on Orthogonal States [PDF]

Physical Review Letters, 1995
Latex, 10 pages, 1 figure (decompress with "uudecode" and "unzip"). Submitted to Physical Review Letters.
Goldenberg, Lior, Vaidman, Lev
openaire   +3 more sources

Orthogonal bases in specific generalized symmetry classes of tensors [PDF]

Journal of Mahani Mathematical Research
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda ...
Gholamreza Rafatneshan, Yousef Zamani
doaj   +1 more source

Approximation of Double-dimensional Densities of Probabilities by Orthogonal Bases

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009
Approach to approximation of double-dimensional densities of probabilities in rectangle areas by the families of double-dimensional orthogonal functions created by multiplication of single-dimensional orthogonal functions is studied. Calculation formulas
l. A. Lyozin
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Strong quantum nonlocality and unextendibility without entanglement in $N$-partite systems with odd $N$ [PDF]

Quantum
A set of orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality without entanglement.
Yiyun He, Fei Shi, Xiande Zhang
doaj   +1 more source