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Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as cert...
The main part of this thesis, Chapter 4, contains results on the commutant of a semigroup of operators defined on the Hardy Space of the disk where the operators have hyperbolic non-automorphic symbol...
We give estimates for the approximation numbers of composition operators on $H^2$, in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get that these approxim...
The sizes of optimal constant-composition codes of weight three have been determined by Chee, Ge and Ling with four cases in doubt. Group divisible codes played an important role in their construction...
Abstract: On classes of functions de?ned on R^2n we introduce abstract composition laws modelled after the pseudodifferential product of symbols. We attach to these composition laws modulation mapping...
Abstract: For $M$ being a closed manifold or the Euclidean space we present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s > 1/2\dim M + 1$...
In this paper we first introduce weighted vector-valued Bergman spaces 􀣛􀯑, 􀯣 􀵫Λ􀬾􀵯 of the upper half-plane. We then discuss their basic propertie...
In this paper, we characterize the boundedness and compactness of weighted composition operators 􀜹􀰝,􀰟􁈺􀝂􁈻 􀵌 􀟰􁈺􀝂...
In this note we determine the lower and upper estimates for the essential norm of a composition operator on the Orlicz spaces under certain conditions.
The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions be-comes an entire function. Moreover, as an example of such functio...
We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbi...
We prove Euler–Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses th...
A solution is proposed for the problem of composition of ordinary generating functions.A new class of functions that provides a composition of ordinary generating functions is introduced; main theorem...
We prove the composition and L2-boundedness theorems for the Nagel-Ricci-Stein flag kernels related to the natural gradation of homogeneous groups.

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