The purpose of this thesis is to restate the definition of the integral as given by O. Perron, to establish some of the fundamental properties of the Perron integral, and to prove the equivalence between the Perron and Lebesgue integrals in the bounded case.

After our introduction in Chapter 1, we consider van der Corput's lemma in Chapter 2. We find the nodes that minimize divided differences, and use these to find the sharp constant in a related sublevel set estimate. We go on to find the sharp constant in the first instance of the van der Corput lemma using a complex mean value theorem for integrals. With these bounds we improve the constant in the general van der Corput lemma, so that it is asymptotically sharp. In Chapter 3 we review the p-adic numbers and some results from Fourier analysis over the p-adics. In Chapter 4 we prove a p-adic version of van der Corput's lemma for polynomials, opening the way for the study of oscillatory integrals over the p-adics. In Chapter 5 we apply this result to bound maximal averages. We show that maximal averages over curves defined by p-adic polynomials are Lq bounded, where 1&ltq&ltinfinity

Thesis (Ph. D.)--Oregon State University, 1964. / Typescript. Includes bibliographical references (leaves 67-68). Also available on the World Wide Web.

Thesis (Ph. D.)--University of Chicago, 1915. / Vita. "A Private Edition Distributed by the University of Chicago Libraries." "Reprinted from American journal of mathematics, vol. XXXIX, no. 2, April, 1917." Includes bibliographical references. Also available on the Internet.

Thesis (Ph. D.)--Oregon State University, 1974. / Typescript (photocopy). Includes bibliographical references. Also available on the World Wide Web.

In this thesis, have made use of a case study design to investigate how individuals from a self- development program called Unique Mind ESP, experience the process of transformation of learned beliefs. The instrumental purpose is to explore why focus on human development ought to be included in an educational context with a more specific focus than it is today. I have made use of a cross- disciplinary approach to investigate this, where research concerning neurology displays a significant function to describe how we learn and transform what is learned, and meditation (mental training) role in such matter. This together with theory concerning awareness practice (such as in meditation) and how we change our beliefs through different stages in life as a result of introspection, is important elements in the text. The main unit of analysis is based on four individual experiences with awareness practice (meditation, ESP training and intellectual understanding of this). The analysis led to four themes that direct the attention towards different steps and phases in such a process. Why they started to change their life, how they implemented UMESP basic course, the ESP1 practices in this process, and finally the result of this. I have concluded that reflection displays a central function in transformation, and that there is a difference between intellectual and introspective reflection. In addition, to have an intellectual understanding of human nature (how we learn beliefs) as well as some practical practice concerning how to transform such mental tracks, is some main findings. Thus, one need to know what there is to do, before one can do something.

Thesis--Universiteit te Leyden. / Levenschets. "Litteratuur": p. 42-43.

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Thesis--Göttingen. / Cover title.