A Relationship between Generalized Parabolic Potentials and Parabolic Type Wavelet Transforms
Mathematical Notes, cilt.119, sa.3-4, ss.714-723, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 119 Sayı: 3-4
- Basım Tarihi: 2026
- Doi Numarası: 10.1134/s0001434626602236
- Dergi Adı: Mathematical Notes
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Sayfa Sayıları: ss.714-723
- Anahtar Kelimeler: anisotropic wavelet transform, Fourier transform, Gauss kernel, parabolic potential, wavelet measure
- Akdeniz Üniversitesi Adresli: Evet
Özet
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.