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Maximal functions of plurisubharmonic functions
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Bent Functions of Maximal Degree [PDF]
In this paper, a technique for constructing p-ary bent functions from plateaued functions is presented. This generalizes earlier techniques of constructing bent from near-bent functions. The Fourier spectrum of quadratic monomials is analyzed, and examples of quadratic functions with highest possible absolute values in their Fourier spectrum are given.
Ayça Çesmelioglu, Wilfried Meidl
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Results in Mathematics, 2001
In the present paper, the authors study standard graded algebras over Artinian rings, for example, an associated graded ring of an \(\mathfrak m\)-primary ideal in a Noetherian local ring \((A, \mathfrak m)\). The Poincaré-Hilbert series of such a graded ring \(G\) is a formal power series \(P_G(t) = \sum_{n \geq 0} \ell(G_n) t^n\).
ROSSI, MARIA EVELINA +2 more
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In the present paper, the authors study standard graded algebras over Artinian rings, for example, an associated graded ring of an \(\mathfrak m\)-primary ideal in a Noetherian local ring \((A, \mathfrak m)\). The Poincaré-Hilbert series of such a graded ring \(G\) is a formal power series \(P_G(t) = \sum_{n \geq 0} \ell(G_n) t^n\).
ROSSI, MARIA EVELINA +2 more
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On the uniqueness of maximal functions
Georgian Mathematical Journal, 1996Abstract The uniqueness theorem for the one-sided maximal operator has been proved.
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Maximality In Function Algebras
Canadian Journal of Mathematics, 1970In this paper we prove that the proper Dirichlet subalgebras of the disc algebra discovered by Browder and Wermer [1] are maximal subalgebras of the disc algebra (Theorem 2). We also give an extension to general function algebras of a theorem of Rudin [4] on the existence of maximal subalgebras of C(X).
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Rendiconti del Seminario Matematico e Fisico di Milano, 1979
We give a new, simpler, version of E. M. Stein’s theorem on the spherical maximal function, and offer a generalisation.
M. Cowling, MAUCERI, GIANCARLO
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We give a new, simpler, version of E. M. Stein’s theorem on the spherical maximal function, and offer a generalisation.
M. Cowling, MAUCERI, GIANCARLO
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Maximally Nonlinear Functions and Bent Functions
Designs, Codes and Cryptography, 1999The topic to which the present paper belongs has earlier been studied in several works of Dobbertin. Let \(GF(2^n)\) be the finite field of size \(2^n\). The mappings (denoted by \(F\)) from \(GF(2^n)\) to itself are studied. A quantity \(L(F)\) is introduced, it serves as a measure of the linearity of \(F\).
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