Published January 1988 | Version v1
Journal article

A block spin construction of ondelettes. Pt. 2

Creators

  • 1. Cornell Univ., Ithaca, NY (USA). Dept. of Mathematics

Description

We apply the Lemarie basis of ondelettes to the Battle-Federbush cluster expansion for the φ34 quantum field theory. Since there is no infrared problem for this model, we also show how the large-scale ondelettes can be thrown away and replaced by unit-scale functions. Finally, we apply the block spin machine of Part I to the construction of exponentially localized ondelettes orthogonal with respect to the free, massless action of the scalar field. (orig.)

Additional details

Additional titles

Subtitle (English)
The QFT connection

Publishing Information

Journal Title
Commun. Math. Phys.
Journal Volume
114
Journal Issue
1
Series
Commun. Math. Phys.
Journal Page Range
1-10
ISSN
0010-3616
CODEN
CMPHA

Optional Information

Contract/Grant/Project number
Grant DMS-86-03795