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An extension problem of higher order operators and operators of logarithmic type via renormalization (2502.10747v2)

Published 15 Feb 2025 in math.AP

Abstract: We introduce a method of obtaining a higher order extension problem, \'a la Caffarelli-Silvestre, utilizing ideas from renormalization. Moreover, we give an alternative perspective of the recently developed extension problem for the logarithmic laplacian developed by Chen, Hauer and Weth (2023) [arXiv:2312.15689].

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