Related papers: Zariskian adic spaces

We prove an analogue of the Centralizer Theorem in the context of Artin-Tits groups.

We study analogues of classical inequalities for the eigenvalues of sums of pseudo-Hermitian matrices.

A "tensor space" is a vector space equipped with a finite collection of multi-linear forms. In previous work, we showed that (for each signature) there exists a universal homogeneous tensor space, which is unique up to isomorphism. Here we…

We extend Hadamard's Lemma to the setting of a separable Hilbert space.

In [1] we introduced the notion of 'structured space', i.e. a space which locally resembles various algebraic structures. In [2] and [3] we studied some cohomology theories related to these space. In this paper we continue in this…

We show some elementary facts about the semantical analogue of Parikh's Splitting, which we call Factorization.

The notion of (Z/2Z) x (Z/2Z)-symmetric spaces is a generalization of classical symmetric spaces, where the group Z/2Z is replaced by (Z/2Z) x (Z/2Z). In this article, a classification is given of the (Z/2Z) x (Z/2Z)-symmetric spaces G/K…

We establish a weighted version of the $H^p$-theory of quasiconformal mappings.

We prove Orlicz-space versions of Hardy and Landau-Kolmogorov inequalities for Gaussian measures on the n-dimensional Euclidean space.

The unique third-order invariant variational equation in three-dimensional (pseudo)Euclidean space is derived.

From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Lie n-algebras. We also consider the…

New results on comparison of distributions of Gaussian quadratic forms are presented

S.P.Novikov developed an analog of the Morse theory for closed 1-forms. In this paper I suggest an analog of the Lusternik - Schnirelman theory for closed 1-forms.

In the present paper, we introduce para-quaternionic Kaehler analogue of Lagrangian and Hamiltonian mechanical systems. Finally, the geometrical-physical results related to para-quaternionic Kaehler mechanical systems are also given.

We prove an analogue in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.

In this paper, we propose non-commutative analogues of infimum and supremum with the help of algebraic orthogonality.

We explain how to deduce the degenerate analogue of Ariki's categorification theorem over the ground field C as an application of Schur-Weyl duality for higher levels and the Kazhdan-Lusztig conjecture in finite type A. We also discuss some…

Some related results to Pecaric's inequality in inner product spaces that generalises Bombieri's inequality, are given.

Some assertions in harmonic analysis on the infinite dimensional torus are stated and their equivalence to Riemann hypothesis is proved.

Conditions, related to the so-called bending problem are considered for hypersurfaces of a pseudo-Euclidean space. Corresponding theorems are proved.