SYMMETRIC REPRESENTATIONS OF HOLOMORPHIC FUNCTIONS

Abstract

In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions. This representation plays an important role in transitions from concrete problems of projective description to equivalent problems of inductive description and finds multiple applications in questions connected with spectral synthesis of differential operators.

Keywords

• spectral synthesis
• projective description
• inductive description
• differential operators
• symmetric functions
• holomorphic functions