Metric convolution and frames

Pasupathi, R. ; Navascués, M. A. ; Chand, A. K. B. ; Mohapatra, R. N.

Resumen: The fractal convolution of two mappings is a binary operation in some space of functions. In previous papers we extracted the main properties of this association and defined a new type of inner operations in metric spaces, not necessarily linked to fractal theory. This operation has been called metric convolution, though it does not agree with the classical convolution of functions. In this paper we develop a further insight into this association, deducing additional properties. When the metric space framework is substituted by a normed space setting, we address the definition of bases and frames composed of convolution elements, different from those of other articles. We study also the dynamics of two maps linked to the operation.

Idioma: Inglés

DOI: 10.1007/s10998-023-00550-5

Año: 2024

Publicado en: Periodica Mathematica Hungarica 88 (2024), 243-265
ISSN: 0031-5303

Factor impacto JCR: 0.5 (2024)

Categ. JCR: MATHEMATICS rank: 337 / 492 = 0.685 (2024) - Q3 - T3
Categ. JCR: MATHEMATICS, APPLIED rank: 295 / 344 = 0.858 (2024) - Q4 - T3

Factor impacto CITESCORE: 1.3 - Mathematics (all) (Q3)

Factor impacto SCIMAGO: 0.326 - Mathematics (miscellaneous) (Q3)

Tipo y forma: Artículo (Versión definitiva)