Foundation of Symbol Theory for Analytic Pseudodifferential Operators. I

2013/08/20 by Takashi Aoki, Aoki, Takashi, Naofumi Honda +3
Mathematics · #35A27 #35S05 #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Primary 35W25 #Secondary 14F05 #math.AP #msc:14F05 #msc:35A27 #msc:35S05 #msc:35W25

paper · pdf · doi:10.48550/arxiv.1308.4325

73 pages

openalex publication_date 2013/08/20 · arxiv created 2013/08/21 · arxiv updated 2013/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new symbol theory for pseudodifferential operators in the complex analytic category is given. This theory provides a cohomological foundation of symbolic calculus.

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