The Mejer transformation of generalized functions.
The Mellin analytic functionals and the Laplace—Beltrami operator on the Minkowski half-plane
The Menelaus Property characterizes real rotund Banach spaces
The metric space , 0
The microstates free entropy dimension of any DT--operator is 2.
The micro-support of the complex defined by a convolution operator in tube domains
The minimal dense two-sided ideal of a C*-algebra with continous trace.
The minimal displacement problem in subspaces of the space of continuous functions of finite codimension
We show that every subspace of finite codimension of the space C[0,1] is extremal with respect to the minimal displacement problem.
The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces
We introduce the minimal operator on weighted grand Lebesgue spaces, discuss some weighted norm inequalities and characterize the conditions under which the inequalities hold. We also prove that the John-Nirenberg inequalities in the framework of weighted grand Lebesgue spaces are valid provided that the weight function belongs to the Muckenhoupt class.
The Minkowski plane and the geometry of Banach spaces.
The Minlos lemma for positive-definite functions on additive subgroups of
Let H be a real Hilbert space. It is well known that a positive-definite function φ on H is the Fourier transform of a Radon measure on the dual space if (and only if) φ is continuous in the Sazonov topology (resp. the Gross topology) on H. Let G be an additive subgroup of H and let (resp. ) be the character group endowed with the topology of uniform convergence on precompact (resp. bounded) subsets of G. It is proved that if a positive-definite function φ on G is continuous in the Gross topology,...
The mixed problem for a degenerate operator equation.
The modified Cauchy transformation with applications to generalized Taylor expansions
We generalize to the case of several variables the classical theorems on the holomorphic extension of the Cauchy transforms. The Cauchy transformation is considered in the setting of tempered distributions and the Cauchy kernel is modified to a rapidly decreasing function. The results are applied to the study of "continuous" Taylor expansions and to singular partial differential equations.
The moduli of smoothness and convexity and the Rademacher averages of the trace classes (1≤p<∞)
The Modulus of a Weakly Compact Operator.
The Moment Problem in the Space C... (S).
The monogenic functional calculus
A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.
The monotone cumulants
In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean and especially, monotone probability theories. The uniqueness of generalized cumulants holds for each independence, and hence, generalized cumulants are equal to the usual cumulants in the commutative, free and Boolean cases. The way we define (generalized) cumulants needs neither partition lattices nor generating functions and then will give a new viewpoint to cumulants....
The monotone Poisson process
The coefficients of the moments of the monotone Poisson law are shown to be a type of Stirling number of the first kind; certain combinatorial identities relating to these numbers are proved and a new derivation of the Cauchy transform of this law is given. An investigation is begun into the classical Azéma-type martingale which corresponds to the compensated monotone Poisson process; it is shown to have the chaotic-representation property and its sample paths are described.
The multiplication functions of Kučera