Moving from table to graph in physics-informed spatio-temporal symbolic regression. [PDF]
Lazebnik T, Liberzon A.
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Application of smooth OWA operators to classification of retinitis pigmentosa. [PDF]
Rachwał A +7 more
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Dynamics of Mean-Field Fermi Systems with Nonzero Pairing. [PDF]
Marcantoni S, Porta M, Sabin J.
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Real-time photoacoustic imaging with freehand light delivery and augmented reality guidance. [PDF]
Zhang J, Li C, Bell MAL.
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Prevalence and factors associated with symptoms of common mental disorders, anxiety, depression, burnout, insomnia and stress among primary healthcare workers in Brazil: protocol for a systematic review and prevalence meta-analysis. [PDF]
Antonucci BL +4 more
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The global inverse fractional conductivity problem. [PDF]
Covi G, Railo J, Zimmermann P.
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Spaces of Test and Generalized Functions Related to Generalized Translation Operators
The paper is devoted to a detailed and modernized exposition of an approach to the theory of generalized functions of an infinite number of variables based on the use of a family of generalized translation operators on a separable metric space \(Q\) [for earlier results, see \textit{Yu. M. Berezansky} and \textit{Yu. G. Kondratiev}, Funct. Anal.
Berezans'kyi, Yu. M., Tesko, V. A.
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Infinite-dimensional analysis related to generalized translation operators
Let \(Q\) be a separable metric complete space with a Borel probability measure \(\rho\). The author treats here generalized translation operators, i.e. a family \(\{T_x\}\) of linear operators possessing the properties: \(\forall f\in C(Q)\), \(T_xf(y)= T_yf(x)\), \(x,y\in Q\), \(T_e= \text{id}.\), locality, and continuity. Character \(\chi(x,\lambda)\
Yurij M Berezansky
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Generalized translation operators [PDF]
A study is made of generalized translation operators of the Delsarte-Levitan-Povzner type. After reviewing the method of associating such operators with linear second order differential equations, an abstract theory is developed with the aim of constructing an L[subscript 1]-convolution algebra.
McGregor, James Lewin
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On the norms of generalized translation operators generated by Dunkl type operators
Journal of Mathematical Sciences, 2012An integral representation for the generalized translation operators generated by Dunkl type operators \[ \Lambda f(x) = f'(x) + \frac{A'(x)}{A(x)}\frac{f(x) - f( - x)}{2} \] in the spaces \( L_p(\mathbb{R})\) with weight \(A\) is established, and a known estimate for their norms is improved.
O L Vinogradov
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