Basic analysis of regularized series and products /
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| Author / Creator: | Jorgenson, Jay |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, c1993. |
| Description: | 122 p. ; 24 cm. |
| Language: | English |
| Series: | Lecture notes in mathematics ; 1564 Lecture notes in mathematics (Springer-Verlag) 1564. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1563647 |
Table of Contents:
- Pt. I. Some Complex Analytic Properties of Regularized Products and Series. 1. Laplace-Mellin Transforms. 2. Laurent Expansion at s = 0, Weierstrass Product, and Lerch Formula. 3. Expressions at s = 1. 4. Gauss Formula. 5. Stirling Formula. 6. Hankel Formula. 7. Mellin Inversion Formula. Table of Notation
- Pt. II. A Parseval Formula for Functions with a Singular Asymptotic Expansion at the Origin. 1. A Theorem on Fourier Integrals. 2. A Parseval Formula. 3. The General Parseval Formula. 4. The Parseval Formula for I[subscript w](a + it).