Berhanu, Shiferaw; Hounie, Jorge A generalization of the Rudin-Carleson theorem. (English) Zbl 1201.35085 Bove, Antonio (ed.) et al., Advances in phase space analysis of partial differential equations. In Honor of Ferruccio Colombini’s 60th birthday. Selected papers based on the workshop, Siena, Italy, October 2007. Boston, MA: Birkhäuser (ISBN 978-0-8176-4860-2/hbk; 978-0-8176-4861-9/ebook). Progress in Nonlinear Differential Equations and Their Applications 78, 37-57 (2009). Summary: We prove a generalization of the Rudin-Carleson theorem for homogeneous solutions of locally solvable real analytic vector fields.For the entire collection see [Zbl 1187.35004]. Cited in 2 Documents MSC: 35F15 Boundary value problems for linear first-order PDEs 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 30E25 Boundary value problems in the complex plane Keywords:homogeneous solutions; locally solvable real analytic vector fields; Sussmann’s orbits; condition \(({\mathcal P})\) PDFBibTeX XMLCite \textit{S. Berhanu} and \textit{J. Hounie}, Prog. Nonlinear Differ. Equ. Appl. 78, 37--57 (2009; Zbl 1201.35085) Full Text: DOI