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Author Hall, Brian C.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Mathematical Physic ♦ Holomorphic Method ♦ Segal-bargmann Space ♦ Acknowledgment B3 ♦ Paper S3 ♦ Infinite-dimensional Transform ♦ Paper Segal ♦ Paper Bargmann ♦ Paper B1 ♦ Paper B2 ♦ Many Degree ♦ Corresponding Transform ♦ Infinite-dimensional Version ♦ Acknowledgment Refers ♦ Exceptional Circumstance
Abstract this paper Bargmann described the infinite-dimensional version of the Segal-Bargmann space, having forgotten that Segal had already treated this case in his 1960 talks. Once Bargmann real- ized his mistake he published an acknowledgment [B3], noting that his oversight had resulted from "exceptional circumstances." 33 Finally, in 1978 Segal published a paper [S3] that gives a technically better description of the Segal-Bargmann space in infinitely many degrees of freedom and describes explicitly the corresponding transform (similar to what I call Ba). In this paper Segal cites Bargmann's 1961 paper [B1] and the acknowledgment to Bargmann's 1962 paper [B2], but not the 1962 paper itself. This has fostered some confusion (reflected in the citations of other authors) as to whether the acknowledgment refers to Bargmann's 1961 paper or to his 1962 paper. See Section 10 for a description of the infinite-dimensional transform similar to that of [S3]
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 1999-01-01