# Multipliers with inverse square potential and applications I

## TL;DR

This paper derives explicit formulas for Schwartz integral kernels of certain Schrödinger multipliers with inverse square potential, utilizing integral transforms and special functions like Bessel and hypergeometric functions.

## Contribution

It provides new explicit formulas for these kernels, connecting classical special functions with Schrödinger operators with inverse square potential.

## Key findings

- Explicit formulas for Schwartz integral kernels derived
- Connections established between integral transforms and special functions
- New formulas involving Bessel and hypergeometric functions obtained

## Abstract

In this work we give explicit formulas for the Schwartz integral kernels of some multipliers of the Schr\"odinger operator with inverse square potential on $\R^\ast_+$. By using the integral transforms connecting these multipliers we obtain old and new formulas involving Bessel and hypergeometric functions