A Relationship between Generalized Parabolic Potentials and Parabolic Type Wavelet Transforms
Mathematical Notes, vol.119, no.3-4, pp.714-723, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 119 Issue: 3-4
- Publication Date: 2026
- Doi Number: 10.1134/s0001434626602236
- Journal Name: Mathematical Notes
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Page Numbers: pp.714-723
- Keywords: anisotropic wavelet transform, Fourier transform, Gauss kernel, parabolic potential, wavelet measure
- Akdeniz University Affiliated: Yes
Abstract
Abstract: In this study, one-dimensional integral representations for the generalizations of classical parabolic Riesz and parabolic Bessel potentials were obtained with the help of special anisotropic wavelet transforms.