Uniqueness theorems of L-functions in the extended Selberg class
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DOI: 10.1007/s10473-020-0406-0
Abstract: We establish uniqueness theorems of L-functions in the extended Selberg class, which show how an L-function and a meromorphic function are uniquely determined by their shared values in two finite sets. This can be seen… read more here.
Keywords: uniqueness theorems; selberg class; extended selberg; functions extended ... See more keywords
ON ALGEBRAIC DIFFERENTIAL EQUATIONS FOR THE GAMMA FUNCTION AND -FUNCTIONS IN THE EXTENDED SELBERG CLASS
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DOI: 10.1017/s000497271700020x
Abstract: This paper concerns the problem of algebraic differential independence of the gamma function and ${\mathcal{L}}$ -functions in the extended Selberg class. We prove that the two kinds of functions cannot satisfy a class of algebraic… read more here.
Keywords: class; extended selberg; algebraic differential; gamma function ... See more keywords
On Analytical Construction of Observable Functions in Extended Dynamic Mode Decomposition for Nonlinear Estimation and Prediction
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DOI: 10.1109/lcsys.2020.3047586
Abstract: We propose an analytical construction of observable functions in the extended dynamic mode decomposition (EDMD) algorithm. EDMD is a numerical method for approximating the spectral properties of the Koopman operator. The choice of observable functions… read more here.
Keywords: observable functions; construction; construction observable; analytical construction ... See more keywords