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Math and StatisticsTheoretical Mathematics

NONEXISTENCE OF A CONTINUOUS RIGHT INVERSE FOR SURJECTIVE LINEAR PARTIAL DIFFERENTIAL OPERATORS ON THE SPACES (Gamma sup delta)(Omega).

Authors: David K. Cohoon; WISCONSIN UNIV MADISON
Abstract:
The author proves a nonimbeddability result for the Fourier transform operator on the spaces ((gamma sub C)sup delta) (O, b), and uses it to show the nonexistence of a continuous right inverse for certain surjective linear partial differential operators P(D) on the spaces (gamma sup delta) (Omega), where Omega is a P(D)-convex open set. (Author)

Description: Technical rept.
Pages: 43
Report Date: JUL 1970
Contract Number: N0001467A01280014
Report Number: 0259907

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Keywords relating to this report:
(*PARTIAL DIFFERENTIAL EQUATIONS
_*PARTIAL DIFFERENTIAL EQUATIONS
BOUNDARY VALUE PROBLEMS
CONVEX SETS
FOURIER ANALYSIS
INTEGRAL TRANSFORMS
THEOREMS
VECTOR SPACES_
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