Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Alan Noell"'
Publikováno v:
Mathematische Zeitschrift. 299:1607-1629
Real-analytic CR functions on real-analytic CR singular submanifolds are not in general restrictions of holomorphic functions, unlike in the CR nonsingular case. We give a simple condition that completely characterizes those quadric CR singular manif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5028282bc35913819adcc515c1dea944
https://doi.org/10.1007/s00209-021-02729-3
https://doi.org/10.1007/s00209-021-02729-3
Cartan's uniqueness theorem does not hold in general for CR mappings, but it does hold under certain conditions guaranteeing extendibility of CR functions to a fixed neighborhood. These conditions can be defined naturally for a wide class of sets suc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee97bed20e51eb3432bf1dfe4720cec6
http://arxiv.org/abs/2112.07585
http://arxiv.org/abs/2112.07585
Publikováno v:
International Journal of Mathematics. 32
We say that a CR singular submanifold $M$ has a removable CR singularity if the CR structure at the CR points of $M$ extends through the singularity as an abstract CR structure on $M$. We study such real-analytic submanifolds, in which case removabil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c9e74ea17aedfa201ba9dc3596489ae
https://doi.org/10.1142/s0129167x21500907
https://doi.org/10.1142/s0129167x21500907
Publikováno v:
Transactions of the American Mathematical Society. 371:6581-6603
We prove an analogue of the Lewy extension theorem for a real dimension 2 n 2n smooth submanifold M ⊂ C n × R M \subset \mathbb {C}^{n}\times \mathbb {R} , n ≥ 2 n \geq 2 . A theorem of Hill and Taiani implies that if M M is CR and the Levi-form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17090e57b4dfed062a4a3e6bb114a97b
https://doi.org/10.1090/tran/7605
https://doi.org/10.1090/tran/7605
Publikováno v:
Indiana University Mathematics Journal. 66:901-925
Let $\Omega \subset {\mathbb C}^n \times {\mathbb R}$ be a bounded domain with smooth boundary such that $\partial \Omega$ has only nondegenerate elliptic CR singularities, and let $f \colon \partial \Omega \to {\mathbb C}$ be a smooth function that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d62c8c9fa5e2a308caebd8611a47be4
https://doi.org/10.1512/iumj.2017.66.6067
https://doi.org/10.1512/iumj.2017.66.6067
Autor:
Alan Noell
This paper surveys results concerning peak sets and boundary interpolation sets for the unit disc. It includes hitherto unpublished results proved by David C. Ullrich on peak sets for the Zygmund class.
18 pages
18 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86bdfe49f9333b45a7112cd0f0922ac2
http://arxiv.org/abs/1905.07441
http://arxiv.org/abs/1905.07441
Publikováno v:
PRIMUS. 27:755-757
Complex analysis, despite its beauty and power, seems to have has lost some of the prominence it once enjoyed in undergraduate mathematics, science, and engineering. Conversations with colleagues a...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::267a363bd34f4915656eaea03ed5a51c
https://doi.org/10.1080/10511970.2017.1312652
https://doi.org/10.1080/10511970.2017.1312652
We solve the Levi-flat Plateau problem in the following case. Let $M \subset {\mathbb C}^{n+1}$, $n \geq 2$, be a connected compact real-analytic codimension-two submanifold with only nondegenerate CR singularities. Suppose $M$ is a diffeomorphic ima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48bbbd7e51d707a59f4f7bd1d818168e
http://arxiv.org/abs/1809.01276
http://arxiv.org/abs/1809.01276
FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA, Sixth Edition, is ideal for both non-math and science majors, as well as students who may continue onto calculus. With an emphasis on business applications, this book helps you connect mat
Let $M \subset {\mathbb{C}}^{n+1}$, $n \geq 2$, be a real codimension two CR singular real-analytic submanifold that is nondegenerate and holomorphically flat. We prove that every real-analytic function on $M$ that is CR outside the CR singularities
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44f5330f89876e4b9abe5eb07a1ff0c9