On a certain class of spherical harmonic functions and singular pseudo-differential operators

Ekincioglu I., ŞERBETÇİ A.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.18, sa.1, ss.27-38, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1080/10652460600936203
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.27-38
  • Anahtar Kelimeler: spherical harmonic functions, pseudo-differential operators, generalized shift operator, Fourier-Bessel transformation
  • Ankara Üniversitesi Adresli: Evet

Özet

This article gives some results for the weighted spherical harmonic functions. Some relations are found between the singular integral operators generated by generalized shift operator and singular pseudo-differential operators. Finally, the boundedness of the pseudo-differential operators studied are shown.