# Bargmann transform and generalized heat Cauchy problems

## TL;DR

This paper explicitly solves certain heat-type Cauchy problems linked to generalized Dirac, Euler, and Harmonic oscillator operators using the Bargmann transform, providing new analytical solutions.

## Contribution

It introduces explicit solutions to generalized heat Cauchy problems using the Bargmann transform, expanding analytical methods for these operators.

## Key findings

- Explicit solutions for heat Cauchy problems with Dirac, Euler, and Harmonic oscillator operators
- Application of the Bargmann transform as a key analytical tool
- Enhanced understanding of heat equations related to generalized operators

## Abstract

In this article we solve explicitly some Cauchy problems of the heat type attached to the generalized real and complex Dirac, Euler and Harmonic oscillator operators. Our principal tool is the Bargmann transform.