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# Analysis

### International mathematical journal of analysis and its applications

CiteScore 2018: 0.72

SCImago Journal Rank (SJR) 2018: 0.363
Source Normalized Impact per Paper (SNIP) 2018: 0.530

Mathematical Citation Quotient (MCQ) 2018: 0.36

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ISSN
2196-6753
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Volume 35, Issue 2

# Oscillating spectral multipliers on Riemannian manifolds

Published Online: 2015-03-12 | DOI: https://doi.org/10.1515/anly-2012-1196

## Abstract

Suppose that M is a Riemannian manifold satisfying the doubling volume property. Let L be a self-adjoint positive definite operator on M. We consider the heat semigroup ${e}^{-tL}$ and we assume that the associated heat kernel ${p}_{t}\left(x,y\right)$ satisfies certain upper Gaussian estimates. We study the Lp boundedness of oscillating spectral multipliers ${m}_{\alpha ,\beta }\left(L\right)$.

MSC: 32W30; 42B15; 42B20; 47F99; 58J35

Accepted: 2015-02-10

Published Online: 2015-03-12

Published in Print: 2015-05-01

Citation Information: Analysis, Volume 35, Issue 2, Pages 85–91, ISSN (Online) 2196-6753, ISSN (Print) 0174-4747,

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