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math.AP2026
Limiting absorption principle for time-harmonic elastic scattering of plane waves from diffraction gratings
Jianli Xiang, Guanghui Hu
We establish the limiting absorption principle for time-harmonic elastic scattering of plane waves by a periodic rigid diffraction grating. By perturbing the frequency with a small…
math.AP2024
Limits of sequence of Tensor Product Operators associated with the Walsh-Paley system
Ushangi Goginava, Farrukh Mukhamedov
It is well-known that to establish the almost everywhere convergence of a sequence of operators on -space, it is sufficient to obtain a weak -type inequality for the ma…
math.AP2024
Limits of sequences of operators associated with Walsh System
Ushangi Goginava, Farrukh Mukhamedov
The aim of the current paper is to determine the necessary and sufficient conditions for the weights , ensuring that the sequence of operators $\left\{ T_{n}^{\…