Semialgebraic version of Whitney's extension theorem

被引：0

作者：

Kocel-Cynk, Beata ^{[1
]}

Pawlucki, Wieslaw ^{[2
]}

Valette, Anna ^{[2
]}

机构：

[1] Politech Krakowskiej, Inst Matemat, Ul Warszawska 24, PL-31155 Krakow, Poland

[2] Uniwersytetu Jagiellonskiego, Inst Matemat, Ul S Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

ARCHIV DER MATHEMATIK | 2019年 / 113卷 / 01期

关键词：

Whitney field; Extension theorem; Cp; -functions; Nash functions;

D O I：

10.1007/s00013-019-01314-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we prove a semialgebraic counterpart of Whitney's extension theorem.

引用

页码：59 / 62

页数：4

共 41 条

[31] Asymptotics of Kahler-Einstein metrics on quasi-projective manifolds and an extension theorem on holomorphic maps
Schumacher, G
MATHEMATISCHE ANNALEN, 1998, 311 (04) : 631 - 645
[32] Extending Hudson's theorem to mixed quantum states
Mandilara, A.
Karpov, E.
Cerf, N. J.
PHYSICAL REVIEW A, 2009, 79 (06):
[33] Sharkovskii's theorem holds for some discontinuous functions
Szuca, P
FUNDAMENTA MATHEMATICAE, 2003, 179 (01) : 27 - 41
[34] Asymptotics of Kähler-Einstein metrics on quasi-projective manifolds and an extension theorem on holomorphic maps
Georg Schumacher
Mathematische Annalen, 1998, 311 : 631 - 645
[35] ON ONE EXTENSION THEOREM DEALING WITH WEIGHTED ORLICZ-SLOBODETSKII SPACE. ANALYSIS ON LIPSCHITZ SUBGRAPH AND LIPSCHITZ DOMAIN
Dhara, Raj Narayan
Kalamajska, Agnieszka
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (02): : 451 - 488
[36] Waring's theorem and the super Fe at problem for n hers and functions
Hayman, W. K.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (01) : 85 - 90
[37] Selberg's Normal Density Theorem for Automorphic L-Functions for GLm
Yan Qu
Acta Mathematica Sinica, English Series, 2007, 23 : 1903 - 1908
[38] FOUNDATIONS OF LINEAR CODES DEFINED OVER FINITE MODULES: THE EXTENSION THEOREM AND THE MACWILLIAMS IDENTITIES - BASED ON LECTURES FOR THE CIMPA-UNESCO-TUBITAK SUMMER SCHOOL
Wood, Jay A.
CODES OVER RINGS, 2009, 6 : 124 - 190
[39] On Selberg’s limit theorem for L-functions over a family of GL(n) Hecke–Maass cusp forms
Guohua Chen
Yuk-Kam Lau
Yingnan Wang
The Ramanujan Journal, 2022, 59 : 1171 - 1195
[40] On sharper estimates of Ohsawa–Takegoshi L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-extension theorem in higher dimensional case
Shota Kikuchi
manuscripta mathematica, 2023, 170 (3-4) : 453 - 469

← 1 2 3 4 5 →