
doi: 10.1002/mma.10897
ABSTRACTIn this paper, we explore wavelet convolutors in the ultradistribution space . We examine wavelet convolutors by applying an appropriate topological isomorphism to these spaces via the wavelet transform. Additionally, we present Calderóns reproducing formula for wavelet convolutors and provide an example using the Mexican hat wavelet transform for the associated convolutors.
Integral transforms in distribution spaces, multiplicators, Special integral transforms (Legendre, Hilbert, etc.), Nontrigonometric harmonic analysis involving wavelets and other special systems, distribution spaces, wavelet transform, convolutors
Integral transforms in distribution spaces, multiplicators, Special integral transforms (Legendre, Hilbert, etc.), Nontrigonometric harmonic analysis involving wavelets and other special systems, distribution spaces, wavelet transform, convolutors
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
