| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Convolutions with slowly varying functions in the complex domain | Journal: | Integral Transforms and Special Functions | Volume: | 16 | Issue: | 8 | First page: | 707 | Last page: | 711 | Issue Date: | 1-Dec-2005 | Rank: | M23 | ISSN: | 1065-2469 | DOI: | 10.1080/10652460500110271 | Abstract: | We prove a theorem concerning asymptotic behavior of general complex-valued kernel convolutions with slowly varying functions in the sense of Karamata. In applications, we show that the content of some classical theorems can be naturally extended on some parts of complex z -plane. |
Keywords: | Complex-valued kernels | Convolutions | Slowly varying functions | Publisher: | Taylor & Francis |
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