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A note on Cline’s formula for some generalized inverses in a ring
In this note, we generalize Cline’s formula for some new generalized inverses such as strong Drazin inverse, generalized strong Drazin inverse,...
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Envelopes in Banach spaces
We introduce the notion of isometric envelope of a subspace in a Banach space, establishing its connections with several key elements: (a) we explore...
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Two inertial hybrid projection algorithms for solving a class of split common solution problems
In this paper, we introduce two new inertial hybrid projection algorithms for solving the split common solution problem with multiple output sets. We...
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Investigations on uniqueness of meromorphic functions in the k-punctured complex plane
In this paper, we have exhaustively studied the uniqueness of meromorphic function sharing five small functions in k -punctured complex plane, under...
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Semilattice Base Hierarchy for Frames and Its Topological Ramifications
We develop a hierarchy of semilattice bases (S-bases) for frames. For a given (unbounded) meet-semilattice A , we analyze the interval in the coframe...
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Examples of cosmological spacetimes without CMC Cauchy surfaces
CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein...
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On String Algebras and the Cohen–Macaulay Auslander Algebras
The Cohen–Macaulay Auslander algebra of an algebra A is defined as the endomorphism algebra of the direct sum of all indecomposable Gorenstein...
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Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the...
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Remarks on Cotton solitons
In this note, we show that the potential vector field of a Cotton soliton ( M , g , V ) is an infinitesimal harmonic transformation, and we use it to...
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Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles
In an effort to express Clifford-valued signals efficiently in time–frequency domain, we introduce the notion of the novel integral transform known...
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The linearized Einstein equations with sources
On vacuum spacetimes of general dimension, we study the linearized Einstein vacuum equations with a spatially compactly supported and (necessarily)...
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On Taylor’s formulas in fractional calculus: overview and characterization for the Caputo derivative
This paper discusses some aspects of Taylor’s formulas in fractional calculus, focusing on use of Caputo’s definition. Such formulas consist of a...
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Weyl’s law for arbitrary archimedean type
We generalize the work of Lindenstrauss and Venkatesh establishing Weyl’s Law for cusp forms from the spherical spectrum to arbitrary archimedean...