Measures on schwartz distribution space and applications to P(φ)2 field theories

Jonathan Dimock; James Glimm

doi:10.1016/S0001-8708(74)80018-6

Measures on schwartz distribution space and applications to P(φ)₂ field theories

University at Buffalo, Stony Brook University

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

Gaussian and non-Gaussian measures on ℒ^'(R²) arising in the P(φ)₂ field theory model are investigated. Estimates relevant to the model are proved, and a formula is obtained for the difference of two measures. A general form of Wick's theorem is also proved.

Original language	English
Pages (from-to)	58-83
Number of pages	26
Journal	Advances in Mathematics
Volume	12
Issue number	1
DOIs	https://doi.org/10.1016/S0001-8708(74)80018-6
State	Published - Jan 1974

Access to Document

10.1016/S0001-8708(74)80018-6

Cite this

@article{09f47c2ae33b43bbad5ebaf075992b95,

title = "Measures on schwartz distribution space and applications to P(φ)2 field theories",

abstract = "Gaussian and non-Gaussian measures on ℒ'(R2) arising in the P(φ)2 field theory model are investigated. Estimates relevant to the model are proved, and a formula is obtained for the difference of two measures. A general form of Wick's theorem is also proved.",

author = "Jonathan Dimock and James Glimm",

year = "1974",

month = jan,

doi = "10.1016/S0001-8708(74)80018-6",

language = "English",

volume = "12",

pages = "58--83",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Measures on schwartz distribution space and applications to P(φ)2 field theories

AU - Dimock, Jonathan

AU - Glimm, James

PY - 1974/1

Y1 - 1974/1

N2 - Gaussian and non-Gaussian measures on ℒ'(R2) arising in the P(φ)2 field theory model are investigated. Estimates relevant to the model are proved, and a formula is obtained for the difference of two measures. A general form of Wick's theorem is also proved.

AB - Gaussian and non-Gaussian measures on ℒ'(R2) arising in the P(φ)2 field theory model are investigated. Estimates relevant to the model are proved, and a formula is obtained for the difference of two measures. A general form of Wick's theorem is also proved.

UR - https://www.scopus.com/pages/publications/0002297944

U2 - 10.1016/S0001-8708(74)80018-6

DO - 10.1016/S0001-8708(74)80018-6

M3 - Article

SN - 0001-8708

VL - 12

SP - 58

EP - 83

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

Measures on schwartz distribution space and applications to P(φ)₂ field theories

Abstract

Access to Document

Other files and links

Fingerprint

Cite this