ANALYTICITY PROPERTIES OF UNITARY INTEGRALS.

Abstract

A general unitary integral is analytically continued, the purpose being to obtain the domain of holomorphy of the integral in terms of the domains of holomorphy of the amplitudes occurring in the integrand. The amplitudes are assumed to be analytic on Riemann domains whose structure is restricted only by certain assumptions found to be prerequisites for an analytic continuation of the unitary integral. The Riemann domains allow for the possibility of an infinite number of signularities of an arbitrary type, and natural boundaries may occur. The analytic continuation is carried out explicitly in terms of scalar variables. All difficulties associated with the use of scalar variables are resolved to give an analytic continuation paralleling that in momentum space. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0644991

Entities

People

  • Donald A. Jacobsen

Organizations

  • Douglas

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Integrals
  • Intensity
  • Momentum

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space