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title: "Reinhardt Domains of Holomorphy in Banach Spaces • CBPF Index"
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**Physics Note****Published**

# **Reinhardt Domains of Holomorphy in Banach Spaces**

**Mário C. Matos; Leopoldo Nachbin**

1988

[**Download PDF **0.6 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb72e/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Reinhardt%20Domains%20of%20Holomorphy%20in%20Banach%20Spaces)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>Mário C. Matos; Leopoldo Nachbin</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1988</dd>

<dt>Description</dt>
<dd>In a Banach Space with unconditional Schauder basis it is not true in general that all holomorphic functions are representable by multiple power series (the series of monomials) but, for Reinhardt domains, every domain of existence is the domain of existence of a holomorphic function representable by a multiple power series and, in fact, the domain of convergence of such a series.</dd>

<dt>Year</dt>
<dd>1988</dd>

<dt>Number</dt>
<dd>CBPF-NF-019/88</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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