On the Fourier transformation of the Hamming norm

• Date: 1992
• Main Authors: Chernov , N. G., Чернов , В. Г.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8039
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let λ ε ℕ U {0} and let H be the Hamming norm on the linear space Fnq over the finite field Fq. The Fourier transform of degree λ of the norm H is investigated. The result is applied to the description of the Riemann—Liouville operator in the space of ℂ-valued functions on the space Fnq...