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Entire automorphic functions on Rn

✍ Scribed by B. N. Apanasov

Publisher: SP MAIK Nauka/Interperiodica
Year: 1979
Tongue: English
Weight: 991 KB
Volume: 19
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00967722

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A class of radial measures + on R n is defined so that integrable harmonic functions f on R n may be characterized as solutions of convolution equations f V += f. In particular we show that f V e &2 V ? |x| = f, f # L 1 (e &2? |x| ) is harmonic if and only if n<9.