Smoothing theory revisited

TL;DR

This paper provides a clear and concise proof of the fundamental theorem of smoothing theory specifically for cases where smoothing exists, clarifying the theoretical foundations of smoothing processes.

Contribution

It offers a simplified proof of the fundamental theorem of smoothing theory in the case when smoothing exists, enhancing understanding of the theory's core principles.

Findings

Concise proof of the fundamental theorem of smoothing theory

Clarification of conditions under which smoothing exists

Improved theoretical understanding of smoothing processes

Abstract

We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.