{'fraction_non_alphanumeric': 0.02268041237113402, 'fraction_numerical': 0.0, 'mean_word_length': 5.230769230769231, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
On a hybrid laguerre-fourier transform

A two-dimensional integral transformation, a discrete Laguerre transform with respect to one variable and a Fourier transform with respect to the other, introduced by T. Koornwinder, is investigated. An inversion formula is proved and rules of operational calculus are derived. Finally the convolution structure of this transform is considered, which is proved to be a positive one in contrast to the one-dimensional discrete Laguerre transform.