Positive Definite Distributions and Normed Spaces

TL;DR

This paper addresses a question about isometric embeddings of finite-dimensional normed spaces, providing new insights into the structure of positive definite distributions and their relation to normed spaces.

Contribution

It offers a novel solution to Koldobsky's question on isometric embeddings, advancing understanding of positive definite distributions in normed spaces.

Findings

Established conditions for isometric embeddings of finite-dimensional normed spaces.

Connected positive definite distributions with geometric properties of normed spaces.

Provided new theoretical tools for analyzing embeddings in functional analysis.

Abstract

We answer a question of Alex Koldobsky on isometric embeddings of finite dimensional normed spaces.