Search results for "Even and odd functions"

showing 2 items of 2 documents

2-SYMMETRIC CRITICAL POINT THEOREMS FOR NON-DIFFERENTIABLE FUNCTIONS

2008

AbstractIn this paper, some min–max theorems for even andC1functionals established by Ghoussoub are extended to the case of functionals that are the sum of a locally Lipschitz continuous, even term and a convex, proper, lower semi-continuous, even function. A class of non-smooth functionals admitting an unbounded sequence of critical values is also pointed out.

Discrete mathematicsNon-smooth critical point theory minmax theorems symmetric functionsGeneral MathematicsRegular polygonEven and odd functionsDifferentiable functionLipschitz continuityCritical point (mathematics)MathematicsGlasgow Mathematical Journal
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Nonradial Hormander algebras of several variables and convolution operators

2001

A characterization of the closed principal ideals in nonradial Hormander algebras of holomorphic functions of several variables in terms of the behaviour of the generator is obtained. This result is applied to study the range of convolution operators and ultradifferential operators on spaces of quasianalytic functions of Beurling type. Contrary to what is known to happen in the case of non-quasianalytic functions, an ultradistribution on a space of quasianalytic functions is constructed such that the range of the operator does not contain the real analytic functions. Let u, v : R → R be continuous, non-negative and even functions which are increasing on the positive real numbers. We assume …

Pure mathematicsOperator (computer programming)Applied MathematicsGeneral MathematicsZero (complex analysis)Holomorphic functionEven and odd functionsConvolution powerQuotientMathematicsAnalytic functionConvolution
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