Interpolation of subspaces and applications to exponential bases

TL;DR

This paper initially explored interpolation of subspaces and exponential bases but was withdrawn due to a false conjecture; a corrected study is forthcoming in a mathematical journal.

Contribution

The paper attempted to develop new insights into interpolation spaces and exponential bases, though the main conjecture was later found to be false.

Findings

Conjecture was false, leading to withdrawal.

Further research on metrics in interpolation spaces is planned.

Applications to nonharmonic Fourier series are being studied.

Abstract

This paper has been withdrawn by the author becouse the conjecture presented in this paper is false. The correct study of metrics in interpolation spaces for and applcation to nonharmonic Fourier series will be published in S.Petersburg Math. J. jointly with N. Kalton.