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| Titel: |
A self-contained approach to mellin transform analysis for square integrable functions; applications |
| Auteur: |
Butzer, Paul L. Stefan, Jansche |
| Verschenen in: |
Integral transforms and special functions |
| Paginering: | Jaargang 8 (1999) nr. 3-4 pagina's 175-198 |
| Jaar: |
1999-12 |
| Inhoud: |
In several papers the authors introduced a self-contained approach (independent of Fourier or Laplace transform theory) to classical Mellin transform theory as well as to a new finite Mellin transform in case the functions in question are absolutely (Lebesgue) integrable. In this paper the matter is considered for functions which are basically square-integrable. The unified and systematic approach presented, which is valid under minimal and natural hypotheses, is applied to sampling analysis, particularly to that connected with Kramer's lemma. An application is a clean approach to exponential sampling theory (of optical circles) for signals which possess certain integral representations, but also for Mellin-bandlimited signals as well as for those which are only approximately Mellin-bandlimited. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 3 van 49 gevonden artikelen
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