Matematik Bölümü Yayın Koleksiyonu

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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "143420"

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    Citation Count: Gergün, S., Kaptanoğlu, H.T., Üreyen, A.E. (2009). Reproducing kernels for harmonic Besov spaces on the ball. Comptes Rendus Mathematique, 347(13-14), 735-738. http://dx.doi.org/10.1016/j.crma.2009.04.016
    Reproducing kernels for harmonic Besov spaces on the ball
    (Elsevier France Editions, 2009-07) Gergün, Seçil; Kaptanoğlu, H. Turgay; Üreyen, A. Ersin; 143420; 177494; 58076; Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü
    Besov spaces of harmonic functions on the unit ball of R '' are defined by requiring Sufficiently high-order derivatives of functions lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces that are Hilbert spaces. The kernels turn out to be weighted infinite sums of zonal harmonics and natural radial fractional derivatives of the Poisson kernel