Loops in SU(2) and factorization

Doug Pickrell

doi:10.1016/j.jfa.2011.01.001

Loops in SU(2) and factorization

Doug Pickrell

Mathematics

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

5 Scopus citations

Abstract

We discuss analytic issues associated with a refinement of triangular factorization for the loop group of SU(2). This factorization is of interest because (1) Toeplitz determinants factor in the associated coordinates, and (2) the factorization is intimately related to the critical degree of smoothness for loops, W1/2,L2.

Original language	English (US)
Pages (from-to)	2191-2221
Number of pages	31
Journal	Journal of Functional Analysis
Volume	260
Issue number	8
DOIs	https://doi.org/10.1016/j.jfa.2011.01.001
State	Published - Apr 15 2011

Keywords

Determinant
Factorization
Loop group
Toeplitz operator

ASJC Scopus subject areas

Analysis

Access to Document

10.1016/j.jfa.2011.01.001

Cite this

@article{ed6c29bd997341bcb2b7af055644347d,

title = "Loops in SU(2) and factorization",

abstract = "We discuss analytic issues associated with a refinement of triangular factorization for the loop group of SU(2). This factorization is of interest because (1) Toeplitz determinants factor in the associated coordinates, and (2) the factorization is intimately related to the critical degree of smoothness for loops, W1/2,L2.",

keywords = "Determinant, Factorization, Loop group, Toeplitz operator",

author = "Doug Pickrell",

year = "2011",

month = apr,

day = "15",

doi = "10.1016/j.jfa.2011.01.001",

language = "English (US)",

volume = "260",

pages = "2191--2221",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "8",

}

TY - JOUR

T1 - Loops in SU(2) and factorization

AU - Pickrell, Doug

PY - 2011/4/15

Y1 - 2011/4/15

N2 - We discuss analytic issues associated with a refinement of triangular factorization for the loop group of SU(2). This factorization is of interest because (1) Toeplitz determinants factor in the associated coordinates, and (2) the factorization is intimately related to the critical degree of smoothness for loops, W1/2,L2.

AB - We discuss analytic issues associated with a refinement of triangular factorization for the loop group of SU(2). This factorization is of interest because (1) Toeplitz determinants factor in the associated coordinates, and (2) the factorization is intimately related to the critical degree of smoothness for loops, W1/2,L2.

KW - Determinant

KW - Factorization

KW - Loop group

KW - Toeplitz operator

UR - https://www.scopus.com/pages/publications/79551501493

UR - https://www.scopus.com/pages/publications/79551501493#tab=citedBy

U2 - 10.1016/j.jfa.2011.01.001

DO - 10.1016/j.jfa.2011.01.001

M3 - Article

AN - SCOPUS:79551501493

SN - 0022-1236

VL - 260

SP - 2191

EP - 2221

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 8

ER -

Loops in SU(2) and factorization

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this