A problem by E. Landis and generic behavior of non-generic sets

Abstract

We consider the question motivated by an old problem of E. Landis in the study of the complete set of zeros of a C ^∞ functions and all its derivatives.

Keywords:

• Zeros of analytic functions
• 2000 Mathematics Subject Classification: Primary 30C15

Notes

Supported by NSF grants DMS-0103985 and DMS-0405927.

We have learned that Problem (L) is also solved in the book A primer of real functions by Ralph Boas.