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681
On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups
Published 2011-01-01“…‖𝑝,𝜔)𝜔∈Ω. We study various algebraic and topological properties of the locally convex space 𝐿𝑝(𝐺,Ω). …”
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682
Time-Compact Scheme for the One-Dimensional Dirac Equation
Published 2016-01-01“…Based on the Lie-algebra, a new time-compact scheme is proposed to solve the one-dimensional Dirac equation. …”
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683
Functional-Type Caristi–Kirk Theorem on Menger Space and Application
Published 2020-01-01Get full text
Article -
684
A shadow Markov equation
Published 2023-11-01“…We show that this equation is characterized by invariance by cluster algebra mutations.…”
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Article -
685
Semi-classical Virasoro blocks: proof of exponentiation
Published 2020-01-01“…We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed are then used to provide new derivations of some standard results on conformal blocks.…”
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686
Putnam-Fuglede theorem and the range-kernel orthogonality of derivations
Published 2001-01-01“…Let ℬ(H) denote the algebra of operators on a Hilbert space H into itself. …”
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687
Simple Proofs for Bochner-Schoenberg-Eberlein and the Bochner-Schoenberg-Eberlein Module Properties on ℓpX,A
Published 2024-01-01“…Let X be a nonempty set, A be a commutative Banach algebra, and 1≤p<∞. In this paper, we present a concise proof for the result concerning the BSE (Banach space extension) property of ℓpX,A. …”
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688
Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
Published 2012-01-01“…We construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebra x^,p^=iħ1-βp+2β2p2, that admits the existence of both a minimal measurable length and a maximal momentum, where β is a deformation parameter. …”
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689
On constraints of the (β-deformed) partition functions with W-representations
Published 2025-02-01“…Meanwhile, we obtain a new realization of the Virasoro algebra in terms of the Dunkl operators and the conserved quantities in the rational Calogero model.…”
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690
The random Wigner distribution of Gaussian stochastic processes with covariance in S0(ℝ2d)
Published 2005-01-01“…We prove that if the covariance function belongs to the Feichtinger algebra S0(ℝ2d) then: (i) the Wigner distribution and the ambiguity function of the process exist as finite variance stochastic Riemann integrals, each of which defines a stochastic process on ℝ2d, (ii) these stochastic processes on ℝ2d are Fourier transform pairs in a certain sense, and (iii) Cohen's class, ie convolution of the Wigner process by a deterministic function Φ∈C(ℝ2d), gives a finite variance process, and if Φ∈S0(ℝ2d) then W∗Φ can be expressed multiplicatively in the Fourier domain.…”
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691
DESCARTES’ MATHEMATICAL IDEAS IN THE EARLIEST LITHUANIAN TEXTBOOKS
Published 1998-01-01“…Descartes was the first to arrange algebraical symbolics and to ground the method of equations, analytic goemetry, the coordinate system, and the concept of function. …”
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692
Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled
Published 2025-03-01“…We propose a relativistic GUP algebra using the Stetsko and Tkachuk approximation and incorporate these corrections into the Zeeman effect. …”
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693
Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
Published 2025-03-01“…We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. …”
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694
Toeplitz Operators Acting on True-Poly-Bergman Type Spaces of the Two-Dimensional Siegel Domain: Nilpotent Symbols
Published 2021-01-01“…We describe certain C∗-algebras generated by Toeplitz operators with nilpotent symbols and acting on a poly-Bergman type space of the Siegel domain D2⊂ℂ2. …”
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695
Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics
Published 2017-01-01“…In the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates. However, spacetime noncommutativity can also be introduced into single-particle covariant quantum mechanics, replacing the commuting operators representing the particle’s spacetime coordinates with noncommuting ones. …”
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696
Topology in nonlinear extensions of hypernumbers
Published 2005-01-01“…In such a way, linear algebras of extended hypernumbers are built. A special topology of conical neighborhoods in these algebras is introduced and studied. …”
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697
Surface Approximation using Growing Self-Organizing Nets and Gradient Information
Published 2007-01-01“…Also, we show that in the adaptation stage the network utilizes efficient transformations, expressed as versors in the conformal geometric algebra framework, which build the shape of the object independent of its position in space (coordinate free). …”
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698
The dark side of double-tensor multiplets
Published 2025-01-01“…Despite this fact, the supersymmetry algebra results to close only on-shell. Our analysis is conducted both in superspace, using the geometric (rheonomic) approach, and in spacetime, comparing how our results are obtained in the two approaches. …”
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699
A Duality Approach to the Genealogies of Discrete Nonneutral Wright-Fisher Models
Published 2009-01-01“…Next, using elementary algebra on CM functions, some suggested novel evolutionary mechanisms of potential interest are introduced and discussed.…”
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700
Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums
Published 2010-01-01“…Equivalence of the previous models in the ground state is shown in case of the honeycomb lattice and the gauge group being a finite group by means of the well-known duality transformation between the group algebra and the spin network basis of lattice gauge theory. …”
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