Multiplication modules and tensor product.
Multiplication of free random variables and the -transform: the case of vanishing mean.
Multiplication of matrices and Witt vectors. (Multiplication des matrices et vecteurs de Witt.)
Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone
It is proved that the solution of the multiplicative Cauchy functional equation on the Lorentz cone of dimension greater than two is a power function of the determinant. The equation is solved in full generality, i.e. no smoothness assumptions on the unknown function are imposed. Also the functional equation of ratios, of a similar nature, is solved in full generality.
Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices
We solve the multiplicative Cauchy equation for real functions of symmetric positive definite matrices under the differentiability restriction. The specialty of the problem lies in the symmetry of the multiplication.
Multiplicative diagonals of matrix semigroups.
Multiplicative maps on invertible matrices that preserve matricial properties.
Multiplicative maps that are close to an automorphism on algebras of linear transformations
Let be a complex, separable Hilbert space of finite or infinite dimension, and let ℬ() be the algebra of all bounded operators on . It is shown that if φ: ℬ() → ℬ() is a multiplicative map(not assumed linear) and if φ is sufficiently close to a linear automorphism of ℬ() in some uniform sense, then it is actually an automorphism; as such, there is an invertible operator S in ℬ() such that for all A in ℬ(). When is finite-dimensional, similar results are obtained with the mere assumption that there...
Multiplicative principal-minor inequalities for a class of oscillatory matrices.
Multiplicative semigroups of infinite dimensional matrices.
Multiscale analysis of wave propagation in random media. Application to correlation-based imaging
We consider sensor array imaging with the purpose to image reflectors embedded in a medium. Array imaging consists in two steps. In the first step waves emitted by an array of sources probe the medium to be imaged and are recorded by an array of receivers. In the second step the recorded signals are processed to form an image of the medium. Array imaging in a scattering medium is limited because coherent signals recorded at the receiver array and coming from a reflector to be imaged are weak and...
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices.