The Play Operator, the Truncated Variation and the Generalisation of the Jordan Decomposition [PDF]
The play operator minimalizes the total variation on intervals $[0,T], T> 0$, of functions approximating uniformly given regulated function with given accuracy and starting from a given point.
Ghomrasni, R., Łochowski, R.
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Krein-von Neumann extension of an even order differential operator on a finite interval [PDF]
We describe the Krein-von Neumann extension of minimal operator associated with the expression \(\mathcal{A}:=(-1)^n\frac{d^{2n}}{dx^{2n}}\) on a finite interval \((a,b)\) in terms of boundary conditions. All non-negative extensions of the operator \(A\)
Yaroslav I. Granovskyi +1 more
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Electron Broadening Operator Including Penetrating Collisions for Hydrogen
The expression of the electron broadening operator including the effect of penetrating collisions, i.e., for which the incoming electron enters the extent of bound-electron wave-functions, is rather complicated, even for hydrogen.
Jean-Christophe Pain, Franck Gilleron
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The Veneziano amplitude via mostly BRST exact operator
The Veneziano amplitude is derived from fixing one degree of freedom of PSL(2,R) symmetry by the insertion of a mostly BRST exact operator. Evaluating the five-point function which consists of four open string tachyons and this gauge fixing operator, we ...
Isao Kishimoto +3 more
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Coordinate-Free Approach for the Model Operator Associated With a Third-Order Dissipative Operator
In this paper we investigate the spectral properties of a third-order differential operator generated by a formally-symmetric differential expression and maximal dissipative boundary conditions.
Ekin Uğurlu +2 more
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The Dunkl kernel and intertwining operator for dihedral groups
Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
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Eigenvalue Asymptotics for the Schr\"odinger Operator with a Matrix Potential in a Single Resonance Domain [PDF]
We consider a Schr\"odinger Operator with a matrix potential defined in $L_2^m(F)$ by the differential expression\begin{equation*} L(\phi(x))=(-\Delta+V(x))\phi(x) \end{equation*}and the Neumann boundary condition, where $F$ is the $d$ dimensional ...
Akduman, Setenay, Karakłlłç, Sedef
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Facial expression recognition using singular values and wavelet‐based LGC‐HD operator
Facial expression recognition (FER) is a significant research area in the human–computer interaction. The performance of FER systems depends on an efficient feature extraction method.
Durga G. Rao Kola +1 more
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Conformational and thermodynamic hallmarks of DNA operator site specificity in the copper sensitive operon repressor from Streptomyces lividans [PDF]
Metal ion homeostasis in bacteria relies on metalloregulatory proteins to upregulate metal resistance genes and enable the organism to preclude metal toxicity.
Tan, BG, Vijgenboom, E, Worrall, JAR
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Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory
In a recent paper, we show that an S-matrix functional for graviton amplitudes can be described by an N=8 supersymmetric gravitational holonomy operator in twistor space.
Abe, Yasuhiro
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