Principles of Analysis: Measure, Integration, Functional Analysis, and Applications

ISBN-13: 9781498773287 / Angielski / Twarda / 2018 / 520 str.

Hugo D. Junghenn

Opis

This book prepares readers taking advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. It is also designed so that the reader or instructor may select topics suitable to their needs. The text is also a thorough examination of the essentials of measure, integration and functional analysis.

Spis treści

Measurable Sets. Measurable Functions. Integration. Further Topics in Measure Theory. Banach Spaces. Hilbert Spaces. Locally Convex Spaces. Banach Algebras. Harmonic Analysis on Locally Compact Groups. Probability Theory. Operator Theory. Appendices.

O autorze

Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.