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The extremal problem of representing a given function of two variables by a table of values of functions of a single variable

✍ Scribed by A.P. Grishin


Publisher
Elsevier Science
Year
1977
Weight
670 KB
Volume
17
Category
Article
ISSN
0041-5553

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Let ⍀ be a bounded open set in R n , n ΟΎ 2, with R n Οͺ ⍀ a connected set that is not thin at each point of Ѩ⍀. Then any solution to a Dirichlet problem for given continuous boundary data on Ѩ⍀ can be approximated in a simple way by a sum that involves one function f (z) of a single complex variable