000132801 001__ 132801 000132801 005__ 20260217205456.0 000132801 0247_ $$2doi$$a10.1007/s10998-023-00550-5 000132801 0248_ $$2sideral$$a137687 000132801 037__ $$aART-2024-137687 000132801 041__ $$aeng 000132801 100__ $$aPasupathi, R. 000132801 245__ $$aMetric convolution and frames 000132801 260__ $$c2024 000132801 5203_ $$aThe 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. 000132801 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000132801 590__ $$a0.5$$b2024 000132801 592__ $$a0.326$$b2024 000132801 591__ $$aMATHEMATICS$$b337 / 492 = 0.685$$c2024$$dQ3$$eT3 000132801 593__ $$aMathematics (miscellaneous)$$c2024$$dQ3 000132801 591__ $$aMATHEMATICS, APPLIED$$b295 / 344 = 0.858$$c2024$$dQ4$$eT3 000132801 594__ $$a1.3$$b2024 000132801 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000132801 700__ $$0(orcid)0000-0003-4847-0493$$aNavascués, M. A. 000132801 700__ $$aChand, A. K. B. 000132801 700__ $$aMohapatra, R. N. 000132801 773__ $$g88 (2024), 243-265$$pPeriodica Mathematica Hungarica$$tPeriodica Mathematica Hungarica$$x0031-5303 000132801 8564_ $$s336491$$uhttps://zaguan.unizar.es/record/132801/files/texto_completo.pdf$$yVersión publicada 000132801 8564_ $$s1159196$$uhttps://zaguan.unizar.es/record/132801/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000132801 909CO $$ooai:zaguan.unizar.es:132801$$particulos$$pdriver 000132801 951__ $$a2026-02-17-20:20:26 000132801 980__ $$aARTICLE