Fundamental Properties of Perturbation-Theoretical Integral Representations. III
Journal Article
·
· Journal of Mathematical Physics
Asymptotic behavior and subtraction problem of the perturbation-theoretical integral representation (PTIR) are investigated in detail. Six theorems are rigorously proved in this connection. It is shown that a function represented by an unsubtracted PTIR may asymptotically increase in particular directions. The relation between the asymptotic behavior and the subtraction number is clarified for the subtracted PTIR. As a by-product one obtains a consistent definition of a finite part of the integral involving x-1θ(x). (auth)
- Research Organization:
- Brookhaven National Lab., Upton, NY (United States)
- Sponsoring Organization:
- US Atomic Energy Commission (AEC)
- DOE Contract Number:
- AT(30-2)-GEN-16
- NSA Number:
- NSA-18-044618
- OSTI ID:
- 4002012
- Report Number(s):
- BNL--7834
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 5; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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