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Approximation by bounded analytic functions to functions represented by dirichlet series

Author: J P Evans; J L Walsh; Harvard University.; United States. Air Force. Office of Scientific Research.
Publisher: Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961.
Series: United States. Air Force Office of Scientific Research, AFOSR 552.
Edition/Format:   Print book : National government publication : EnglishView all editions and formats
Summary:
Results concerning approximation to functions analytic on a closed point set R̄₀ by arbitrary functions analytic and bounded in a region R₁ containing R̄₀ were first established by Walsh [4] in 1938 and later extended by the present writers to the limiting case where R̄₀ and the boundary of R₁ have points in common [5]. It is the purpose of the present note to continue the study of this problem now in situations  Read more...
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Additional Physical Format: Online version:
Evans, J. P.
Approximation by bounded analytic functions to functions represented by dirichlet series
(OCoLC)1102006674
Material Type: Government publication, National government publication
Document Type: Book
All Authors / Contributors: J P Evans; J L Walsh; Harvard University.; United States. Air Force. Office of Scientific Research.
OCLC Number: 227262153
Notes: April, 1961.
Contract Numbers: AF 49(638)-574 and AF 49(638)-845.
Description: 9 pages ; 28 cm.
Series Title: United States. Air Force Office of Scientific Research, AFOSR 552.
Other Titles: Technical Report Archive & Image Library (TRAIL)
Responsibility: J.P. Evans and J.L. Walsh, Harvard University and Wellesley College.

Abstract:

Results concerning approximation to functions analytic on a closed point set R̄₀ by arbitrary functions analytic and bounded in a region R₁ containing R̄₀ were first established by Walsh [4] in 1938 and later extended by the present writers to the limiting case where R̄₀ and the boundary of R₁ have points in common [5]. It is the purpose of the present note to continue the study of this problem now in situations where the approximated function is no longer assumed analytic at points common to the boundaries of R₀ and R₁.

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