Alladi Ramakrishnan Hall

Lidstone interpolation

Michel Waldschmidt

Sorbonne University

In the first lecture, I plan to explain the classical theory: interpolation formula for polynomials involving its derivatives of even order at $0$ and $1$; definition of Lidstone polynomials. Differential equation, inductive formula. Expansion formula for entire functions of exponential type $<\pi$. Generating series. Expansion for functions of finite exponential type.

The two next lectures will deal with an extension of Lidstone interpolation to two variables. The plan will be similar to the one of the first course.

The last lecture will be devoted to several variables.