Local fields in two‐phase fibrous piezo‐composites with 622 constituents
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DOI: 10.1002/mma.3923
Abstract: The behaviour of the anti-plane local fields of a two-phase piezo-composite made of a fibre embedded in an infinite matrix, and in perfect contact with it, is studied. Both constituents belong to the 622 crystal… read more here.
Keywords: fields two; two phase; fibrous piezo; local fields ... See more keywords
Nonuniform Discrete Wavelets on Local Fields of Positive Characteristic
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DOI: 10.1007/s11785-018-0813-6
Abstract: A constructive algorithm based on the theory of spectral pairs for constructing nonuniform wavelet basis in $$L^2(\mathbb R)$$L2(R) was considered by Gabardo and Nashed (J Funct Anal 158:209–241, 1998). In this setting, the associated translation… read more here.
Keywords: nonuniform discrete; discrete wavelets; positive characteristic; wavelets local ... See more keywords
Local fields and overall transverse properties of unidirectional composite materials with multiple nanofibers and Steigmann–Ogden interfaces
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DOI: 10.1016/j.ijsolstr.2018.05.019
Abstract: Abstract This paper presents the semi-analytical solution for the transverse local fields and overall transverse properties of composite materials with aligned multiple cylindrical nanofibers. The interface between each fiber and the matrix is treated as… read more here.
Keywords: transverse; overall transverse; composite materials; local fields ... See more keywords
Addition formula and γ-factors for local fields
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DOI: 10.1016/j.jnt.2018.10.003
Abstract: Abstract We prove a formula that shows explicitly the additive structure of a local field is determined by the multiplicative structure and γ factors. And we prove a formula that relates the γ-factors of different… read more here.
Keywords: local fields; formula factors; addition formula; formula ... See more keywords
Explicit reciprocity laws for higher local fields
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DOI: 10.1016/j.jnt.2019.12.016
Abstract: Abstract Using previously constructed reciprocity laws for the generalized Kummer pairing of an arbitrary (one-dimensional) formal group, in this article a special consideration is given to Lubin-Tate formal groups. In particular, this allows for a… read more here.
Keywords: reciprocity laws; explicit reciprocity; higher local; laws higher ... See more keywords
Fast discrete Fourier transform on local fields of positive characteristic
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DOI: 10.1134/s0032946017020041
Abstract: For the discrete Fourier transform with respect to the system of characters of a local field with positive characteristic, we propose a fast algorithm. We find the complexity of the algorithm. read more here.
Keywords: local fields; positive characteristic; fourier transform; transform local ... See more keywords
WEIERSTRASS-TYPE FUNCTIONS IN p-ADIC LOCAL FIELDS
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DOI: 10.1142/s0218348x20500437
Abstract: The Weierstrass nowhere differentiable function has been studied often as example of functions whose graphs are fractals in ℝ2. This paper investigates the Weierstrass-type function in the p-adic l... read more here.
Keywords: weierstrass type; adic local; type functions; local fields ... See more keywords
Orthogonal Gabor systems on local fields
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DOI: 10.2298/fil1716193s
Abstract: The objective of this paper is to provide complete characterizations of orthogonal families, tight frames and orthonormal bases of Gabor systems on local fields of positive characteristic by means of some basic equations in the… read more here.
Keywords: gabor systems; local fields; systems local; orthogonal gabor ... See more keywords