Published May 1990
| Version v1
Journal article
Harmonic analysis of local operators
Description
The spatial Fourier transforms of local operators are analysed. It is shown that the Fourier components for non-zero momentum form weakly square integrable functions in all states of finite energy. Moreover, there hold uniform bounds for the respective L2-norms. The relevance of this result is illustrated in collision theory. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 129
- Journal Issue
- 3
- Series
- Commun. Math. Phys.
- Journal Page Range
- 631-641
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 21040945
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; AXIOMATIC FIELD THEORY; BOSONS; EIGENVALUES; ENERGY SPECTRA; FERMIONS; FOURIER TRANSFORMATION; HAMILTONIANS; HARMONICS; HILBERT SPACE; KLEIN-GORDON EQUATION; LIMITING VALUES; LOCALITY; MATHEMATICAL OPERATORS; METRICS; SCATTERING; WAVE FUNCTIONS
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; INTEGRAL TRANSFORMATIONS; MATHEMATICAL SPACE; OSCILLATIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SPACE; SPECTRA; TRANSFORMATIONS; WAVE EQUATIONS