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The Laplace transform. (English) Zbl 0063.08245

Princeton Mathematical Series, v. 6. Princeton, N. J.: Princeton University Press. x, 406 p. (1941).
From the preface: The material of this book is the outgrowth of a course of lectures which I have given from time to time at Harvard University on the subject of Dirichlet series and Laplace integrals. It is designed for students who have such a knowledge of analysis as might be obtained by reading the more fundamental parts of the familiar text of E. C. Titchmarsh on the theory of functions. I have taken pains to include proofs of results which such a student might not know even though they might be available elsewhere. For example, the first chapter is devoted largely to the study of the Riemann-Stieltjes integral. Although this material is in constant use by analysts it seems not to have been collected in convenient form. There are only a few instances where I have had to depart from this aim of having the book complete in itself. If he desires, the student may omit such parts without losing the fundamental ideas

MSC:

44A10 Laplace transform
44-02 Research exposition (monographs, survey articles) pertaining to integral transforms
26A42 Integrals of Riemann, Stieltjes and Lebesgue type