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Inequalities for the block projection operators to the setting of quasi-normed ideals and noncommutative integration. Here, we establish several uniform

Noncommutative residues, equivariant traces, and trace expansions for an operator algebra on RnWe consider an algebra A of Fourier integral operators on Rn. It consists of all operators D

Studies on Noncommutative Measure Theory in Kazan University (1968–2018)Studies on Noncommutative Measure Theory in Kazan University (1968–2018)

Functions of noncommuting operators under perturbation of class SpFunctions of noncommuting operators under perturbation of class Sp

Noncommutative reduction of nonlinear Schrödinger equation on Lie groups. The main idea is to apply the method of noncommutative integration to the linear part of a nonlinear

Noncommutative integrability of the Klein-Gordon and Dirac equations in (2+1)-dimensional spacetimeNoncommutative integration of the Klein–Gordon and Dirac relativistic wave equations in (2

Functions of perturbed pairs of noncommuting contractionsWe consider functions of pairs of noncommuting contractions on Hilbert space and study the problem

Functions of perturbed commuting dissipative operators.) of commuting maximal dissipative operators. To obtain such estimates, we use double operator integrals

Inequalities for the block projection operators to the setting of quasi-normed ideals and noncommutative integration. Here, we establish several uniform

Conformal twists, Yang-Baxter σ-models & holographic noncommutativity
), we present a compendium of σ-models associated with integrable deformations of AdS5generated

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