Approximation of entire harmonic functions in R3 in Lß - norm
2004
artykuł naukowy
angielski
- harmonic function
- index-pair
- proximate order
- approximation error
- Lß-norm
- funkcja harmoniczna
- aproksymacja
EN A function which is harmonic in a neighbourhood of the origin in R(3) has there an expansion in spherical harmonics. For HK, he class of all harmonic functions regular in and continuous on DR , the closure of DK, we define approximation error as , is the set of all harmonic polynomials of degree at most n. In this paper we have obtained the necessary and sufficient condition on the rate of decrease of has an analytic continuation as an entire harmonic function with (p, q) - growth.
55 - 64
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