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Laplace Transform in Commutative Banach Algebras


Dean, Robert Yost (1952) Laplace Transform in Commutative Banach Algebras. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/R8JF-GT33.


After a brief review of the general theory of commutative complex Banach algebras in Section I, Section II introduces and discusses some important facts about the generalized Laplace-Stieltjes integral. Section III consists of an investigation of the regions of ordinary and absolute convergence of the Laplace-Stieltjes integral, and is followed by specializations to Dirichlet and power series in Section IV. Section V contains a consideration of the analyticity of functions defined by Laplace-Stieltjes integrals, while Section VI concludes the thesis with some remarks on the existence and distribution of singularities of such functions.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Mathematics and Physics)
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Minor Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Bohnenblust, Henri Frederic
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1952
Record Number:CaltechTHESIS:11202017-144107731
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10561
Deposited By: Benjamin Perez
Deposited On:20 Nov 2017 23:03
Last Modified:10 May 2023 23:31

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