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On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces
Distance estimates harmonic function unit ball Bergman spaces
2012/5/9
We provide some new estimates for distances in harmonic function spaces of several variables related to mixed norm spaces.Some of them extend previously known assertions in this direction in the unit ...
Ramanujan type congruences for modular forms of several variables
Congruences for modular forms Cusp forms Number Theory
2012/4/17
We give congruences between the Eisenstein series and a cusp form in the cases of Siegel modular forms and Hermitian modular forms. We should emphasize that there is a relation between the existence o...
Operator monotone functions and Löwner functions of several variables
Operator monotone functions Lö wner functions of several variables
2010/12/9
We prove generalizations of L¨owner’s results on matrix monotone functions to several variables. We give a characterization of when a function of d variables is locally monotone on d-tuples of commuti...
Extending Means of Two Variables to Several Variables
Means Logarithmic mean Divided differences Series expansions Symmetric polynomials
2008/7/1
We present a method, based on series expansions and symmetric polynomials, by which a mean of two variables can be extended to several variables. We apply it mainly to the logarithmic mean.
On integral inequalities of Gronwall-Bellman-Bihari type in several variables
Gronwall-Bellman-Bihari inequality good kernel nonincreasing function nondecreasing function nonnegative function
2008/6/27
On integral inequalities of Gronwall-Bellman-Bihari type in several variables.
Stolarsky Means of Several Variables
Stolarsky means Dresher means Dirichlet averages Totally positive functions Inequalities
2008/6/26
A generalization of the Stolarsky means to the case of several variables is presented. The new means are derived from the logarithmic mean of several variables studied in [9]. Basic properties and ine...
Stability of Functional Equations in Several Variables
stability functional equation Jordan homomorphism Lie homomorphism
2007/12/11
We prove a generalization of Hyers' theorem on the stability of approximately additive mapping and a generalization of Badora's theorem on an approximate ring homomorphism. We also obtain a more gener...