Premium
Differentiable Peak‐Interpolation on Bounded Domains with Smooth Boundary
Author(s) -
Noell Alan
Publication year - 1985
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/17.2.134
Subject(s) - mathematics , bounded function , differentiable function , boundary (topology) , interpolation (computer graphics) , mathematical analysis , pure mathematics , computer science , artificial intelligence , motion (physics)
Let D be a bounded domain in C n with C 2 boundary, and, for 1 ⩽ k ⩽ ∞, let A k ( D ) be the algebra of functions holomorphic on D and C k on a neighbourhood of D ¯ . It is shown that each peak‐interpolation set for A k ( D ) is a finite set.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom