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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Polyzylinder</span></h1>
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<div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="de" dir="ltr"><div class="mw-content-ltr mw-parser-output" lang="de" dir="ltr"><p>In der mehrdimensionalen <a href="Funktionentheorie" title="Funktionentheorie">Funktionentheorie</a> ist der <b>Polyzylinder</b><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> oder <b>Polykreis</b><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> das <a href="Kartesisches_Produkt" title="Kartesisches Produkt">kartesische Produkt</a> von <a href="Kreisscheibe" class="mw-redirect" title="Kreisscheibe">Kreisscheiben</a>.
</p><p>Bezeichnet man genauer mit <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta (z,r)=\{w\in \mathbb {C} \mid |z-w|<r\}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi mathvariant="normal">Δ<!-- Δ --></mi>
<mo stretchy="false">(</mo>
<mi>z</mi>
<mo>,</mo>
<mi>r</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mo fence="false" stretchy="false">{</mo>
<mi>w</mi>
<mo>∈<!-- ∈ --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">C</mi>
</mrow>
<mo>∣<!-- ∣ --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<mi>z</mi>
<mo>−<!-- − --></mo>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<mo><</mo>
<mi>r</mi>
<mo fence="false" stretchy="false">}</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \Delta (z,r)=\{w\in \mathbb {C} \mid |z-w|<r\}}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/49ebf62f1d15d3ed9215f54aa4f8bd21ad51b958.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:31.493ex; height:2.843ex;" alt="{\displaystyle \Delta (z,r)=\{w\in \mathbb {C} \mid |z-w|<r\}}" loading="lazy"></span> eine offene Kreisscheibe in der <a href="Komplexe_Ebene" class="mw-redirect" title="Komplexe Ebene">komplexen Ebene</a>, dann ist der Polyzylinder um den Punkt <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle z=(z_{1},\dots ,z_{n})\in \mathbb {C} ^{n}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>z</mi>
<mo>=</mo>
<mo stretchy="false">(</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo>∈<!-- ∈ --></mo>
<msup>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">C</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msup>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle z=(z_{1},\dots ,z_{n})\in \mathbb {C} ^{n}}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/cd9e670d2845f0a8fbc22f5835b6c7046fcc6d55.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.346ex; height:2.843ex;" alt="{\displaystyle z=(z_{1},\dots ,z_{n})\in \mathbb {C} ^{n}}" loading="lazy"></span> mit dem Multiradius <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r=(r_{1},\dots ,r_{n})}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>r</mi>
<mo>=</mo>
<mo stretchy="false">(</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle r=(r_{1},\dots ,r_{n})}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/3ebf617d85217f552dda0eeba4d44b6f7291b1f7.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.505ex; height:2.843ex;" alt="{\displaystyle r=(r_{1},\dots ,r_{n})}" loading="lazy"></span> gegeben als
</p>
<dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta (z_{1},\ldots ,z_{n};r_{1},\ldots ,r_{n}):=\Delta (z_{1},r_{1})\times \dots \times \Delta (z_{n},r_{n})}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi mathvariant="normal">Δ<!-- Δ --></mi>
<mo stretchy="false">(</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo>;</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo>:=</mo>
<mi mathvariant="normal">Δ<!-- Δ --></mi>
<mo stretchy="false">(</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo>×<!-- × --></mo>
<mo>⋯<!-- ⋯ --></mo>
<mo>×<!-- × --></mo>
<mi mathvariant="normal">Δ<!-- Δ --></mi>
<mo stretchy="false">(</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \Delta (z_{1},\ldots ,z_{n};r_{1},\ldots ,r_{n}):=\Delta (z_{1},r_{1})\times \dots \times \Delta (z_{n},r_{n})}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/b87238a3884c741d454ccfa88068b2ab77f885a9.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:54.453ex; height:2.843ex;" alt="{\displaystyle \Delta (z_{1},\ldots ,z_{n};r_{1},\ldots ,r_{n}):=\Delta (z_{1},r_{1})\times \dots \times \Delta (z_{n},r_{n})}" loading="lazy"></span></dd></dl>
<p>oder äquivalent als
</p>
<dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \{w=(w_{1},\dots ,w_{n})\in \mathbb {C} ^{n}\mid |z_{k}-w_{k}|<r_{k},\,k=1,\dots ,n\}.}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo fence="false" stretchy="false">{</mo>
<mi>w</mi>
<mo>=</mo>
<mo stretchy="false">(</mo>
<msub>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo>∈<!-- ∈ --></mo>
<msup>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">C</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msup>
<mo>∣<!-- ∣ --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
</mrow>
</msub>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<mo><</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<mi>n</mi>
<mo fence="false" stretchy="false">}</mo>
<mo>.</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \{w=(w_{1},\dots ,w_{n})\in \mathbb {C} ^{n}\mid |z_{k}-w_{k}|<r_{k},\,k=1,\dots ,n\}.}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/2e589c87fd3b8841c6ad60c3d3135764e1696bd2.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:55.756ex; height:2.843ex;" alt="{\displaystyle \{w=(w_{1},\dots ,w_{n})\in \mathbb {C} ^{n}\mid |z_{k}-w_{k}|<r_{k},\,k=1,\dots ,n\}.}" loading="lazy"></span></dd></dl>
<p>Der abgeschlossene Polyzylinder wird dadurch definiert, dass man das <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle <}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo><</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle <}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/33737c89a17785dacc8638b4d66db3d5c8670de1.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle <}" loading="lazy"></span>-Zeichen durch <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \leq }">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo>≤<!-- ≤ --></mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \leq }</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/440568a09c3bfdf0e1278bfa79eb137c04e94035.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \leq }" loading="lazy"></span> ersetzt:
</p>
<dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\overline {\Delta }}(z_{1},\ldots ,z_{n};r_{1},\ldots ,r_{n}):=\{w=(w_{1},\dots ,w_{n})\in \mathbb {C} ^{n}\mid |z_{k}-w_{k}|\leq r_{k},\,k=1,\dots ,n\}.}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mover>
<mi mathvariant="normal">Δ<!-- Δ --></mi>
<mo accent="false">¯<!-- ¯ --></mo>
</mover>
</mrow>
<mo stretchy="false">(</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo>;</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo>:=</mo>
<mo fence="false" stretchy="false">{</mo>
<mi>w</mi>
<mo>=</mo>
<mo stretchy="false">(</mo>
<msub>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo>∈<!-- ∈ --></mo>
<msup>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">C</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msup>
<mo>∣<!-- ∣ --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
</mrow>
</msub>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<mo>≤<!-- ≤ --></mo>
<msub>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<mi>n</mi>
<mo fence="false" stretchy="false">}</mo>
<mo>.</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\overline {\Delta }}(z_{1},\ldots ,z_{n};r_{1},\ldots ,r_{n}):=\{w=(w_{1},\dots ,w_{n})\in \mathbb {C} ^{n}\mid |z_{k}-w_{k}|\leq r_{k},\,k=1,\dots ,n\}.}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/72d4c58330ab434661b7b9cd21ce8300907ceeb7.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:83.557ex; height:3.509ex;" alt="{\displaystyle {\overline {\Delta }}(z_{1},\ldots ,z_{n};r_{1},\ldots ,r_{n}):=\{w=(w_{1},\dots ,w_{n})\in \mathbb {C} ^{n}\mid |z_{k}-w_{k}|\leq r_{k},\,k=1,\dots ,n\}.}" loading="lazy"></span></dd></dl>
<p>Der Polyzylinder ist ebenso wie die <a href="Einheitskugel" title="Einheitskugel">euklidische Kugel</a> <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\textstyle \{w\in \mathbb {C} ^{n}\mid \sum _{j=1}^{n}|w_{j}-z_{j}|^{2}<r^{2}\}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mo fence="false" stretchy="false">{</mo>
<mi>w</mi>
<mo>∈<!-- ∈ --></mo>
<msup>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">C</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msup>
<mo>∣<!-- ∣ --></mo>
<munderover>
<mo>∑<!-- ∑ --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</munderover>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<msub>
<mi>w</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>j</mi>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>j</mi>
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</msub>
<msup>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
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<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
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</msup>
<mo><</mo>
<msup>
<mi>r</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
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</msup>
<mo fence="false" stretchy="false">}</mo>
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<annotation encoding="application/x-tex">{\textstyle \{w\in \mathbb {C} ^{n}\mid \sum _{j=1}^{n}|w_{j}-z_{j}|^{2}<r^{2}\}}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/eb2c18e25ea0c172e14dcc79fe233b2df892ccaa.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:32.469ex; height:3.843ex;" alt="{\textstyle \{w\in \mathbb {C} ^{n}\mid \sum _{j=1}^{n}|w_{j}-z_{j}|^{2}<r^{2}\}}" loading="lazy"></span> eine Verallgemeinerung der eindimensionalen <a href="Kreisscheibe" class="mw-redirect" title="Kreisscheibe">Kreisscheibe</a>. Für <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n>1}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>n</mi>
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<mn>1</mn>
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<annotation encoding="application/x-tex">{\displaystyle n>1}</annotation>
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</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/ee74e1cc07e7041edf0fcbd4481f5cd32ad17b64.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.656ex; height:2.176ex;" alt="{\displaystyle n>1}" loading="lazy"></span> sind diese beiden Mengen aber nicht <a href="Biholomorph" class="mw-redirect" title="Biholomorph">biholomorph</a> äquivalent. Diese Aussage wurde 1907 von <a href="Henri_Poincar%C3%A9" title="Henri Poincaré">Poincaré</a> bewiesen, indem er zeigte, dass die <a href="Automorphismengruppe" class="mw-redirect" title="Automorphismengruppe">Automorphismengruppen</a> der beiden Mengen als <a href="Lie-Gruppe" title="Lie-Gruppe">Lie-Gruppen</a> unterschiedliche Dimension haben.
</p>
<div class="mw-heading mw-heading2"><h2 id="Literatur">Literatur</h2></div>
<ul><li>Steven G Krantz: <i>Function Theory of Several Complex Variables</i>, American Mathematical Society, 2002, ISBN 0-8218-2724-3</li>
<li>Walter Rudin: <i>Function theory in polydiscs</i>, Benjamin, New York 1969</li></ul>
<div class="mw-heading mw-heading2"><h2 id="Einzelnachweise">Einzelnachweise</h2></div>
<ol class="references">
<li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Wolfgang Ebeling: <i>Funktionentheorie, Differentialtopologie und Singularitäten</i>, Vieweg-Verlag 2001, ISBN 978-3-528-03174-9, Seite 43</span>
</li>
<li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Joseph Wloka: <i>Grundräume und verallgemeinerte Funktionen</i>, Springer Lecture Notes in Mathematics 82 (1969), Seite 3.</span>
</li>
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