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Sobolev spaces on compact groups

Kumar, M and Kumar, NS (2023) Sobolev spaces on compact groups. In: Forum Mathematicum .

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Official URL: https://doi.org/10.1515/forum-2022-0076


In this note, we introduce Sobolev spaces over (not necessarily abelian) compact groups and study their properties. In particular, we focus on Sobolev embedding and compactness theorems. As an application, we prove the existence of solutions for the generalized Bosonic equations posed over compact groups.

Item Type: Journal Article
Publication: Forum Mathematicum
Publisher: De Gruyter Open Ltd
Additional Information: The copyright for this article belongs to De Gruyter Open Ltd.
Keywords: Bosonic equation; Compact group; embedding theorems; Sobolev Space
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 15 Jun 2023 08:31
Last Modified: 15 Jun 2023 08:31
URI: https://eprints.iisc.ac.in/id/eprint/81987

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