Authors: | Milovanović, Miloš | Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Multiresolution analysis in terms of intuitionist mathematics | First page: | 37 | Related Publication(s): | Abstract booklet | Conference: | Constructive Mathematics: Foundations and Practice, CM:FP 2023, June 26-30, 2023, Niš | Issue Date: | 2023 | Rank: | M34 | Abstract: | Multiresolution analysis, which is a concept that has stemmed from optics, refers to a specific construction in the Hilbert space in order to produce orthogonal wavelets [1]. A generalization to biorthogonal or frame wavelets also applies. The construction is based upon a scale self-similarity which gives rise to a cascade family of approximation subspaces. It is computationally attractive in terms of intuitionist mathematics that considers the time continuum to be a primordial intuition of consciousness [2]. The time operator of wavelets should decompose the Hilbert space into detail subspaces at successive scales, which are wandering by a bilateral shift. A significant link to the measurement problem provides a statistical model that has been proven tremendously useful in a variety of applications [3]. |
Keywords: | wavelets | time operator | intuitionism |
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