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June 2013 Optimal Regularization Processes on Complete Riemannian Manifolds
Shantanu DAVE, Günther HÖRMANN, Michael KUNZINGER
Tokyo J. Math. 36(1): 25-47 (June 2013). DOI: 10.3836/tjm/1374497511

Abstract

We study regularizations of Schwartz distributions on a complete Riemannian manifold $M$. These approximations are based on families of smoothing operators obtained from the solution operator to the wave equation on $M$ derived from the metric Laplacian. The resulting global regularization processes are optimal in the sense that they preserve the microlocal structure of distributions, commute with isometries and provide sheaf embeddings into algebras of generalized functions on $M$.

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Shantanu DAVE. Günther HÖRMANN. Michael KUNZINGER. "Optimal Regularization Processes on Complete Riemannian Manifolds." Tokyo J. Math. 36 (1) 25 - 47, June 2013. https://doi.org/10.3836/tjm/1374497511

Information

Published: June 2013
First available in Project Euclid: 22 July 2013

zbMATH: 1283.46049
MathSciNet: MR3112375
Digital Object Identifier: 10.3836/tjm/1374497511

Subjects:
Primary: 58J37
Secondary: 35A27 , 35L05 , 46F30 , 46T30

Rights: Copyright © 2013 Publication Committee for the Tokyo Journal of Mathematics

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Vol.36 • No. 1 • June 2013
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