TL;DR
This paper classifies continuous, SL(n) and translation invariant real-valued valuations on Sobolev spaces, providing a comprehensive understanding of their structure and properties.
Contribution
It offers a complete classification of such valuations, revealing their form and characteristics in Sobolev spaces.
Findings
Classification of valuations on Sobolev spaces
Characterization of invariance properties
Structural insights into valuation forms
Abstract
Continuous, SL() and translation invariant real-valued valuations on Sobolev spaces are classified.
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