Convex and nonconvex perturbations of evolution equations. (Perturbations convexes et non convexes des équations d'évolution.)
Convex combinations of commuting affine operators
Convex solutions of a nonlinear integral equation of Urysohn type.
Convex solutions of systems arising from Monge-Ampère equations.
Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture
Convexity around the Unit of a Banach Algebra
2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12.We estimate the (midpoint) modulus of convexity at the unit 1 of a Banach algebra A showing that inf {max±||1 ± x|| − 1 : x ∈ A, ||x||=ε} ≥ (π/4e)ε²+o(ε²) as ε → 0. We also give a characterization of two-dimensional subspaces of Banach algebras containing the identity in terms of polynomial inequalities.
Convexity, boundedness, and almost periodicity for differential equations in Hilbert space.
Convexity of the set of fixed points generated by some control systems.
Convexly totally bounded and strongly totally bounded sets. Solution of a problem of Idzik
Convoluted -groups
Convoluted C-operator families and abstract Cauchy problems
Convolution and S' - Convolution of Distributions
Convolution of Nörlund methods in non-archimedean fields
Convolution of Operators and Applications.
Convolution operators in infinite dimension.
Convolution operators on expanding polyhedra: limits of the norms of inverse operators and pseudospectra.
Convolution operators on Kucera-type spaces for the Hankel transformation
Convolution operators on spaces of holomorphic functions
A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.
Convolution Semigroups of Local Type.
Convolution-dominated integral operators
For a locally compact group G we consider the algebra CD(G) of convolution-dominated operators on L²(G), where an operator A: L²(G) → L²(G) is called convolution-dominated if there exists a ∈ L¹(G) such that for all f ∈ L²(G) |Af(x)| ≤ a⋆|f|(x), for almost all x ∈ G. (1) The case of discrete groups was treated in previous publications [fgl08a, fgl08]. For non-discrete groups we investigate a subalgebra of regular convolution-dominated operators generated by product convolution operators, where the...