Functional Analysis and Semi-groups: Volume 31, Part 1

Einar Hille · Ralph Saul Phillips

1996年2月 · Colloquium Publications - American Mathematical Society 第 31 本图书 · American Mathematical Soc.

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Early in 1952 it became obvious that a new printing would be needed, and new advances in the theory called for extensive revision. It has been completely rewritten, mostly by Phillips, and much has been added while keeping the existing framework. Thus, the algebraic tools play a major role, and are introduced early, leading to a more satisfactory operational calculus and spectral theory. The Laplace-Stieltjes transform methods, used by Hille, have not been replaced but rather supplemented by the new tools. - Foreword.