Generalized coherent states related to the cylindrical Bessel functions and Legendre oscillator

What is it about?

The main objective of this paper is to discuss the Paley-Wiener space PW1 in the framework of a set of coherent states related to the cylindrical Bessel function and the Legendre oscillator. Thus, we show that the kernel of the Fourier transform of the L2-functions that are supported in [-1, 1] form a set of coherent states. This also leads to the construction a coherent states integral transform

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