@inproceedings{3bd70b6a4d3d4ac5868f355cffedc716,

title = "Differential-difference equations in entire functions",

abstract = "For a linear differential-difference equation with real shifts in the complex plane we prove a theorem of existence of entire solutions for an arbitrary entire function in the r.h.s. and, using it, show that the space of entire solutions of the corresponding homogeneous equation is infinite dimensional.",

keywords = "Entire functions, Linear functional equations",

author = "Genrich Belitskii and Vadim Tkachenko",

note = "Publisher Copyright: {\textcopyright} 2009 Birkh{\"a}user Verlag Basel/Switzerland.; International Conference on Characteristic functions and transfer functions in operator theory and system theory, 2007 ; Conference date: 09-07-2007 Through 13-07-2007",

year = "2010",

month = jan,

day = "1",

doi = "10.1007/978-3-0346-0183-2_1",

language = "English",

isbn = "9783034601825",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "1--19",

editor = "Daniel Alpay and Victor Vinnikov",

booktitle = "Characteristic Functions, Scattering Functions and Transfer Functions",

}