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Causality Implications for Absorption by EM Metasurfaces. [PDF]

Nanomaterials (Basel)
Valagiannopoulos C.
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On sums of finite products of balancing polynomials

Journal of Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taekyun Kim
exaly   +2 more sources

Finite Sums of Toeplitz Products on the Polydisk

Potential Analysis, 2009
The authors study operators \(S\) of the form \[ S=T_\lambda+\sum_{k=1}^N T_{u_k}T_{v_k}, \] where \(u_k, v_k\) are pluriharmonic functions, \(\lambda\) is an \(n\)-harmonic function on the polydisk \(D^n\), and \(T_u f=P(uf)\) is the Toeplitz operator with symbol \(u\) in the Bergman space \(A^2(D^n)\).
Hyungwoon Koo, Boo Rim Choe, Lee Young Joo   +2 more
exaly   +2 more sources

Sums of Finite Products of Euler Functions

Trends in Mathematics, 2017
In this paper, we consider three types of functions given by sums of finite products of Euler functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.
Taekyun Kim, Jongkyum Kwon, Kwon Jongkyum   +2 more
exaly   +2 more sources

Finite sums of dual Toeplitz products

Studia Mathematica, 2021
Summary: We consider dual Toeplitz operators acting on the orthogonal complements of two kinds of Dirichlet spaces on the unit ball. We first characterize compactness for operators which are finite sums of dual Toeplitz products. Next, we give a characterization of when a finite sum of products of two dual Toeplitz operators is another dual Toeplitz ...
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Sum-product Estimates in Finite Fields via Kloosterman Sums

International Mathematics Research Notices, 2010
We establish improved sum-product bounds in finite fields using incidence theorems based on bounds for classical Kloosterman and related sums.
D. Hart, A. Iosevich, J. Solymosi
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Applications of the Sum-Product Theorem in Finite Fields

21st Annual IEEE Conference on Computational Complexity (CCC'06), 2006
Summary form only given. About two years ago Bourgain, Katz and Tao (2004) proved the following theorem, essentially stating that in every finite field, a set which does not grow much when we add all pairs of elements, and when we multiply all pairs of elements, must be very close to a subfield. Theorem 1: (Bourgain et al., 2004) For every /spl epsi/ >
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Finite Graphs and the Number of Sums and Products

1996
Let G be a graph with k vertices (1, 2, …, k) and e edges. Let A = (α1,α2,..,α k ) be a set of k integers, and let G(A) be the set of all integers of the form α i + α j and α i α j , where (i,j) is an edge of G. Erdos and Szemeredi conjectured that |G(α)| ≫ e e /k e for every e > 0 and every set A.
Xing-De Jia, Melvyn B. Nathanson
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Product graphs, sum-product graphs and sum-product estimates over finite rings

Forum Mathematicum, 2013
Abstract In this paper, we study the product and sum-product graphs defined over the residue ring mod m. We show that all (or almost all) systems of dot-product equations are solvable in any sufficiently large subset ℰ ⊂ ℤ m d .
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