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C *-algebras of Bergman Type Operators with Piecewise Continuous Coefficients over Bounded Polygonal Domains
Given \(\alpha\;\in\;(0,2]\) , we study the C *...
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The Haseman Boundary Value Problem with Slowly Oscillating Coefficients and Shifts
The paper is devoted to studying the Haseman boundary value problem Φ+ ∘ α = GΦ− + g on a star-like Carleson curve Γ composed by logarithmic spirals...
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Non-Linear Mixed Norm Spaces for Sobolev Embeddings in the Critical Case
We prove a sharp version of the endpoint Sobolev embedding in the context of non-linear function classes with mixed norms.
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Exploring the Spectra of Some Classes of Singular Integral Operators with Symbolic Computation
Spectral theory has many applications in several main scientific research areas (structural mechanics, aeronautics, quantum mechanics, ecology,...
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Generalization of Schur’s Test and its Application to a Class of Integral Operators on the Unit Ball of \({\mathbb C^n}\)
We generalize the classical Schur’s test to the boundedness of integral operators from L p to L q spaces equipped with possibly different measures,...
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A Jost–Pais-type Reduction of (Modified) Fredholm Determinants for Semi-separable Operators in Infinite Dimensions
We study the analog of semi-separable integral kernels in...
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On some Generalized Riemann Boundary Value Problems with Shift on the Real Line
On the real line we consider singular integral operators with a linear Carleman shift and complex conjugation, acting in...
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A Tauberian theorem for strong Feller semigroups
We prove that a weakly ergodic, eventually strong Feller semigroup on the space of measures on a Polish space converges strongly to a projection onto...
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On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions
We study several natural multiplicity questions that arise in the context of the Birman–Schwinger principle applied to non-self-adjoint operators. In...
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Singular Integral Operators with Linear Fractional Shifts on the Unit Circle
In this paper we propose a classification to the linear-fractional shifts and consider a class of paired singular integral operators with a shift of...
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On the Dimension of the Kernel of a Singular Integral Operator with Shift
Some estimates for the dimension of the kernel of the singular integral operator $$ I...
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A C*-algebra of Singular Integral Operators with Shifts Similar to Affine Map**s
Representations on Hilbert spaces for the nonlocal C*-algebra \(\mathfrak{B}\)...
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The λ-cosine transforms with odd kernel and the hemispherical transform
We review some basic facts about the λ -cosine transforms with odd kernel on the unit sphere S n −1 in ℝ n . These transforms are represented by the...