36 citations · 71 across the 8 of their papers we have counts for
8 papers
Method of similar operators in harmonious Banach spaces
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We consider similarity transformations of a perturbed linear operator in a complex Banach space , where the unperturbed operator is a generator of a Banach $…
Closed operator functional calculus in Banach modules and applications
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We describe a closed operator functional calculus in Banach modules over the group algebra and illustrate its usefulness with a few applications. In particular, we…
Similarity Techniques in the Spectral Analysis of Perturbed Operator Matrices
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We develop the method of similar operators to study the spectral properties of unbounded perturbed linear operators that can be represented by matrices of various kinds. The class…
General Dirac Operators as Generators of Operator Groups
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We use the method of similar operators to study a general Dirac operator and its spectral properties. We find a similar operator to the Dirac operator that is an orthogonal dir…
Linear Differential Operator with an Involution as a Generator of an Operator Group
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We use the method of similar operators to study a mixed problem for a differential equation with an involution and an operator-valued potential function. The differential operator…
Harmonic and Spectral Analysis of Abstract Parabolic Operators in Homogeneous Function Spaces
Anatoly G. Baskakov, Ilya A. Krishtal
We use methods of harmonic analysis and group representation theory to study the spectral properties of the abstract parabolic operator in homogeneous functi…