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This investigation was started in 1949 while the author had a grant from the Swedish National Research Council. The final manuscript was edited in 1953 while the author was holding a John Simon Guggenheim Fellowship and a grant under U.S. Public law 584, the Fulbright Act.
An erratum to this article is available at http://dx.doi.org/10.1007/BF02803596.
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Hille, E. The abstract Cauchy problem and Cauchy's problem for parabolic differential equations. J. Anal. Math. 3, 81–196 (1953). https://doi.org/10.1007/BF02803587
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DOI: https://doi.org/10.1007/BF02803587