Cauchy-Kowaleskaya-Kashiwara theorem with growth conditions

TL;DR

This paper extends the Cauchy-Kowaleskaya-Kashiwara theorem to holomorphic functions that satisfy specific growth conditions, broadening its applicability in complex analysis.

Contribution

It provides a proof of the theorem under growth conditions, which was not previously established.

Findings

The theorem holds for holomorphic functions with growth constraints.

The results enable new applications in complex analysis and PDEs.

The proof adapts classical methods to accommodate growth conditions.

Abstract

We prove the Cauchy-Kowaleskaya-Kashiwara theorem for holomorphic functions with growth conditions.