Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions
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DOI: 10.1007/s40315-020-00341-w
Abstract: In this paper, we first recall some recent results on polar-analytic functions. Then we establish Mellin analogues of a classical interpolation of Valiron and of a derivative sampling formula. As consequences a new differentiation formula… read more here.
Keywords: formula; derivative sampling; analytic functions; polar analytic ... See more keywords
Multiplicative deconvolution in survival analysis under dependency
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DOI: 10.1080/02331888.2022.2058503
Abstract: We study the non-parametric estimation of an unknown survival function S with support on R+ based on a sample with multiplicative measurement errors. The proposed fully-data driven procedure is based on the estimation of the… read more here.
Keywords: survival function; multiplicative deconvolution; mellin; mellin transform ... See more keywords
High-energy behavior of Mellin amplitudes
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DOI: 10.1103/physrevd.101.066008
Abstract: In any consistent massive quantum field theory there are well-known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well-defined object analogous… read more here.
Keywords: amplitudes high; mellin amplitudes; energy behavior; mellin ... See more keywords
Two-dimensional (P,Q)-Mellin transform and applications
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DOI: 10.1142/s1793557122500814
Abstract: In this paper, we have introduced and studied two-dimensional [Formula: see text]-Mellin transform which extends the known results of two-dimensional [Formula: see text]-Mellin transform. We provide its several basic properties, the appropriate convolution, the inversion… read more here.
Keywords: mellin; mellin transform; formula see; see text ... See more keywords