2021/07/26 by Lyudmila Korobenko, Eric T. Sawyer, Korobenko, Lyudmila +1
Computer Science · Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.FA
paper · pdf · doi:10.48550/arxiv.2107.12451
openalex publication_date 2021/07/26 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
This is the third in a series of papers dealing with sums of squares and hypoellipticity in the infinitely degenerate regime. We establish a C2,delta generalization of M. Christ's sum of squares theorem, and use a bootstrap argument with the sum of squares theorem for matrix functions in the second paper of this series, in order to prove a hypoellipticity theorem generalizing work in the infinitely degenerate regime to include nondiagonal operators and more general degeneracies.