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Allen Lowell Shields (7 May 1927 in New York – 16 September 1989 in Ann Arbor, Michigan, USA) was an American mathematician who worked on measure theory, complex analysis, functional analysis and operator theory.
Professor Shields supervised the 1967 PhD thesis of Theodore Kaczynski titled "Boundary Functions".
- Duren, Peter (1990), "In remembrance of Allen Shields", The Mathematical Intelligencer, 12 (2): 11–14, doi:10.1007/BF03023995, ISSN 0343-6993, MR 1044920
- O'Connor, John J.; Robertson, Edmund F., "Allen Shields", MacTutor History of Mathematics archive, University of St Andrews.
- "Issue dedicated to Allen Lowell Shields", The Mathematical Intelligencer, 12 (2), 1990, ISSN 0343-6993