Ralph S. Phillips

Ralph S. Phillips
Born(1913-06-23)June 23, 1913
Oakland, California, US
DiedNovember 23, 1998(1998-11-23) (aged 85)
Monte Sereno, California, US
Alma materUniversity of California
University of Michigan
Known forScattering theory
AwardsLeroy P. Steele Prize (1997)
Scientific career
FieldsFunctional analysis
InstitutionsUniversity of California
Stanford University
Thesis Integration in a Convex Linear Topological Space[1]
Doctoral advisorTheophil Henry Hildebrandt[1]
Doctoral studentsA.V. Balakrishnan
J. Thomas Beale
Andrew Majda
Michael C. Reed

Ralph Saul Phillips (23 June 1913 – 23 November 1998) was an American mathematician and academic known for his contributions to functional analysis, scattering theory, and servomechanisms. He served as a Professor of mathematics at Stanford University. He made major contributions to acoustical scattering theory in collaboration with Peter Lax, proving remarkable results on local energy decay and the connections between poles of the scattering matrix and the analytic properties of the resolvent. With Lax, he coauthored the widely referred book on scattering theory titled Scattering Theory for Automorphic Functions. Phillips received the 1997 Leroy P. Steele Prize for Lifetime Achievement.[2]

  1. ^ a b Ralph S. Phillips at the Mathematics Genealogy Project
  2. ^ "1997 Steele Prizes" (PDF). American Mathematical Society. Retrieved 26 June 2010.