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A Particular Class of Non-Fredholm Operators L and Their Generalized Witten Index

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The Callias Index Formula Revisited

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2157))

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Abstract

In our final chapter we provide a glimpse at future directions that aim at weakening the Fredholm hypothesis on L. By introducing a generalized (resolvent regularized) Witten index, we derive the analog of the Callias index formula for a particular class of non-Fredholm operators L.

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Gesztesy, F., Waurick, M. (2016). A Particular Class of Non-Fredholm Operators L and Their Generalized Witten Index. In: The Callias Index Formula Revisited. Lecture Notes in Mathematics, vol 2157. Springer, Cham. https://doi.org/10.1007/978-3-319-29977-8_14

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