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A new nonformal noncommutative calculus: Associativity and finite part regularizatio
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Omori, Hideki, Maeda, Yoshiaki, Miyazaki, Naoya and Yoshioka, Akira (2008) A new nonformal noncommutative calculus: Associativity and finite part regularizatio. Asterisque, Vol.321 . pp. 267-297. ISSN 0303-1179.
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Abstract
We interpret the element 1/2ih (u * nu + nu * u) in the generators u, nu of the Weyl algebra W-2 as an indeterminate in N + 1/2 or -(N + 1/2), using methods of the transcendental calculus outlined in the announcement [13]. The main purpose of this paper is to give a rigorous proof for the part of [13] which introduces this indeterminate phenomenon. Namely, we discuss how to obtain associativity in the transcendental calculus and show how the Hadamard finite part procedure can be implemented in our context.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Asterisque | ||||
Publisher: | Societe Mathematique de France | ||||
ISSN: | 0303-1179 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.321 | ||||
Number of Pages: | 31 | ||||
Page Range: | pp. 267-297 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Ministry of Education, Science and Culture, Japan | ||||
Grant number: | 18204006, 18540093, 19540103 | ||||
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