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Ambartsumian Type Theorems
Obtained spectral estimates will be applied in this chapter to prove a direct analog (for differential operators on graphs) of the celebrated...
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Rellich-Type Theorems
We investigate the structure of eigenfunctions and resonance states at a two-cluster threshold under Condition 2.3...
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Stepanov and Weyl Classes of c-Almost Periodic Type Functions
As an extension of some classes of generalized almost periodic functions, in this paper we develop the notion of c -almost periodicity in the sense of...
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Duality theorems for current groups
The classical Peter—Weyl theorem describes the structure of the space of functions on a semi-simple algebraic group. On the level of characters (in...
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Weyl Transforms Associated with Dunkl Wavelet Transform
In this paper, we define the Weyl transform associated with Dunkl wavelet transform and discuss its boundedness and compactness on the Lebesgue...
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Canonical systems whose Weyl coefficients have dominating real part
For a two-dimensional canonical system y ′ ( t ) = zJH ( t ) y ( t ) on the half-line (0, ∞) whose Hamiltonian H is a.e. positive semi-definite, denote by q H ...
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Stretched non-positive Weyl connections on solvable Lie groups
We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie...
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Criteria for the Property (UWE) and the a-Weyl Theorem
AbstractIn this paper, the property (UWE) and the a-Weyl theorem for bounded linear operators are studied in terms of the property of topological...
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Weyl type theorems in Banach algebras and hyponormal elements in \(C^{*}\) algebras
It is established that the relationships between Weyl’s theorem, Browder’s theorem, generalized Weyl’s theorem and generalized Browder’s theorem in a...
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Lochs-type theorems beyond positive entropy
Lochs’ theorem and its generalizations are conversion theorems that relate the number of digits determined in one expansion of a real number as a...
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Tachibana-type theorems and special Holonomy
We prove rigidity results for compact Riemannian manifolds in the spirit of Tachibana. For example, we observe that manifolds with divergence-free...
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2-roots for Simply Laced Weyl Groups
We introduce and study “2-roots", which are symmetrized tensor products of orthogonal roots of Kac–Moody algebras. We concentrate on the case where W ...
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Reflections and Weyl Groups
We start this chapter with useful numerical properties of Dynkin and Euclidean graphs known as Vinberg’s Characterizations, and apply them to study...
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On the variable order Weyl-Marchaud fractional derivative of non-affine fractal function
The fractal technique is applied to study a wide variety of phenomena in the universe. In particular, fractal techniques can be generalized through...
