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Referencing external XSLT libraries in Java 1.7

An oracle jdk 1.7 project uses XSL transformation, and in it, some exsl.org functions. So the namespace is included in the xsl file like this:
xmlns:date="http://exslt.org/dates-and-times" version="1.0"
Then, the XSL is trying to use one of them exsl functions like this:
<xsl:variable name="convDt">
<xsl:value-of select="date:add(concat(substring($tmpDate,1,10),'T',substring($tmpDate,12,8)), 'PT2H')"/>
</xsl:variable>
When we run xsltproc on input xml and this xsl , it works fine. But we have written JAXP module, for this transformation running on JDK 1.7.
javax.xml.transform.TransformerFactory transFact = javax.xml.transform.TransformerFactory
.newInstance();
javax.xml.transform.Transformer trans = transFact
.newTransformer(xsltSource);
trans.transform(xmlSource, result);
From the logs, we see it just does not work
XML-22015: (Error) Function 'add' not found.
I wodner what will be the correct namespace? Are these libraries stored somewhere and these namespaces serve as keys for some mappings anyway?