Almost Periodic Functions (eBook)

Harald Bohr (Autor)

eBook Download: EPUB

2018
128 Seiten
Dover Publications (Verlag)
978-0-486-83328-6 (ISBN)

Infos

Starting with a discussion of periodic functions, this groundbreaking exposition advances to the almost periodic case. An appendix covers the almost periodic functions of a complex variable. 1947 edition.

---

Mathematician Harald Bohr, motivated by questions about which functions could be represented by a Dirichlet series, devised the theory of almost periodic functions during the 1920s. His groundbreaking work influenced many later mathematicians, who extended the theory in new and diverse directions. In this volume, Bohr focuses on an essential aspect of the theory — the functions of a real variable — in full detail and with complete proofs.The treatment, which is based on Bohr's lectures, starts with an introduction that leads to discussions of purely periodic functions and their Fourier series. The heart of the book, his exploration of the theory of almost periodic functions, is supplemented by two appendixes that cover generalizations of almost periodic functions and almost periodic functions of a complete variable.

Autor

Harald August Bohr (1887–1951) was a Danish mathematician, and the brother of Nobel Prize-winning physicist Niels Bohr. He worked primarily in the area of mathematical analysis and was the founder of the field of almost periodic functions.

Inhalt

IntroductionPurely Periodic Functions and Their Fourier SeriesThe Theory of Almost periodic FunctionsAppendix I. Generalizations of Almost periodic FunctionsAppendix II. Almost Periodic Functions of a Complex VariableBibliography

Produkt-Details

• Erscheint lt. Verlag: 2.8.2018
• Reihe/Serie: Dover Books on Mathematics
• Übersetzer: Harvey Cohn
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: almost periodic functions • complete functions • complete proofs • Dirichlet series • Fourier series • Functional Analysis • Functions • generalizations • Lectures • Mathematics • physicist • Physics • Pure Mathematics • Real Variables • Textbook • theoretical functions • theory
• ISBN-10: 0-486-83328-3 / 0486833283
• ISBN-13: 978-0-486-83328-6 / 9780486833286