Donald C. Spencer

Donald Clayton Spencer (April 25, 1912 – December 23, 2001) was an American

Career

He wrote a Ph.D. in

He also was led to formulate the d-bar Neumann problem, for the operator ${\displaystyle {\bar {\partial }}}$ (see complex differential form) in PDE theory, to extend Hodge theory and the n-dimensional Cauchy–Riemann equations to the non-compact case. This is used to show existence theorems for holomorphic functions.

He later worked on

Legacy

After his death, a mountain peak outside Silverton, Colorado was named in his honor.^[2]

See also

• Kodaira–Spencer mapping
• Salem–Spencer set

Publications

• MR 0037908
• Schiffer, M. M.; Spencer, D. C. (1955), Functionals of Finite Riemann Surfaces, Princeton University Press^[3]
• Nickerson, H. K.; Spencer, D. C.; Steenrod, N. E. (1959), Advanced Calculus, Princeton, N.J.: Van Nostrand
  ISBN 978-0-4864-8090-9; pbk{{cite book}}: CS1 maint: postscript (link
  )
• Kumpera, A.; Spencer, D. C. (1972), Lie Equations: Volume I, General Theory, AM-73, Annals of Mathematical Studies, Princeton University Press,
  ISBN 978-0-6910-8111-3; pbk{{citation}}: CS1 maint: postscript (link
  )
• Kumpera, A.; Spencer, D. C. (1974), Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures, Les Presses de l'Université de Montréal