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Homogeneous Bent Functions, Invariants, and Designs
Designs, Codes and Cryptography, 2002Bent functions are special polynomial functions over the 2-element Boolean ring. They have been studied extensively for the last 30 years and play an important role in coding theory and cryptography. In this paper, the authors present new methods of constructing homogeneous bent functions.
Charnes, C. +2 more
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Homogenization of L^infinity functionals
2004We study, via Gamma convergence, the homogenization in L-infinity of supremal functionals of the form $$F_{\epsilon} (u) = ess sup_A f( \frac{x }{ \epsilon}, Du). $$ We prove the homogenized problem is still a supremal and its energy density is given by a cell problem formula.
BRIANI, ARIELA, GARRONI, A, PRINARI, F.
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A Solvability Theorem for Homogeneous Functions
SIAM Journal on Mathematical Analysis, 1976Extensions of the solvability theorem of Farkas to include particular homogeneous functions have been proved by a number of authors and have been used to derive duality theorems for particular programming problems. In this paper, the subject of solvability theorems is approached from the viewpoint of the theory of convex sets and a fairly general ...
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Linear Functionals on Homogeneous Polynomials
Canadian Mathematical Bulletin, 1968The space Hm of homogeneous polynomials in n real variables x1, x2,…, xn of degree m may be considered as an inner product space with inner product ; where ds is the rotation-invariant measure on Sn-1 = {x ε Rn: |x| = 1}, . The problem solved in this paper is the following: given n-1 a linear functional ϕ on Hm, find Pϕ ε Hm so that ϕ(p) = (p, Pϕ) for ...
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ACTA UNIVERSITATIS DANUBIUS. OECONOMICA, 2013
The paper investigates some aspects of the behavior of homogeneous functions. After determining the degree of homogeneity of partial derivatives of a homogeneous function, it is determined their general form in the case of integer degree of homogeneity and they are defined in 0.
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The paper investigates some aspects of the behavior of homogeneous functions. After determining the degree of homogeneity of partial derivatives of a homogeneous function, it is determined their general form in the case of integer degree of homogeneity and they are defined in 0.
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Homogeneous rings of functions.
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A homogenization result for unbounded variational functionals
1996In the paper the problem of homogenization of some integral functionals defined on functions subject to oscillating constraints on their gradients is considered. The motivation comes from the theory of elastic-plastic torsion. In abstract setting the problem concerns the asymptotic behaviour (for every open and bounded \(\Omega \subset {\mathbb R}^n ...
D'APICE, CIRO, DE MAIO, UMBERTO
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1983
A we mentioned in the Preface, Part II of this book deals with further types of function spaces which are more or less closely related to the spaces \(B_p^S\),q(R n ) and \(F_p^S\),q(R n ) from Chapter 2 and their counterparts on domains in Chapter 3. There are many possible modifications and we discuss a few of them.
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A we mentioned in the Preface, Part II of this book deals with further types of function spaces which are more or less closely related to the spaces \(B_p^S\),q(R n ) and \(F_p^S\),q(R n ) from Chapter 2 and their counterparts on domains in Chapter 3. There are many possible modifications and we discuss a few of them.
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A Theorem on Homogeneous Functions
Journal of the London Mathematical Society, 1967openaire +2 more sources