Adam Sikora

Associate Professor

  • 724 Citations
  • 15 h-Index
19962020
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  • 3 Similar Profiles
Multiplier Mathematics
Degenerate Elliptic Operators Mathematics
Operator Mathematics
Heat Kernel Mathematics
Riesz Transform Mathematics
Semigroup Mathematics
Estimate Mathematics
Elliptic Operator Mathematics

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Projects 2009 2017

Harmonic analysis of rough oscillations

Sikora, A., Portal, P., Hassell, A., Guillarmou, C. & van Neerven, J.

30/05/16 → …

Project: Research

Hot Temperature

Harmonic analysis and spectral analysis of differential operators

Duong, X., Cowling, M., McIntosh, A., Sikora, A., Newton, J., PhD Contribution (ARC), P. C. (. & PhD Contribution (ARC) 2, P. C. (. 2.

1/01/1131/12/15

Project: Research

Research Outputs 1996 2020

  • 724 Citations
  • 15 h-Index
  • 45 Article
  • 3 Conference proceeding contribution
  • 1 Edited Book/Anthology
  • 1 Conference paper

Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces

Chen, P., Sikora, A. & Yan, L., Feb 2020, In : Mathematische Zeitschrift. 294, 1-2, p. 555-570 16 p.

Research output: Contribution to journalArticleResearchpeer-review

Metric Measure Space
Resolvent
Multiplier
Semigroup
Propagation Speed

Gradient estimates for heat kernels and harmonic functions

Coulhon, T., Jiang, R., Koskela, P. & Sikora, A., 13 Nov 2019, (Accepted/In press) In : Journal of Functional Analysis. 278, 8, p. 1-67 67 p., 108398.

Research output: Contribution to journalArticleResearchpeer-review

Gradient Estimate
Heat Kernel
Kernel Function
Harmonic Functions
Riesz Transform

Riesz transforms on a class of non-doubling manifolds

Hassell, A. & Sikora, A., 2019, In : Communications in Partial Differential Equations. 44, 11, p. 1072-1099 28 p.

Research output: Contribution to journalArticleResearchpeer-review

Connected Sum
Riesz Transform
Doubling
Riemannian Manifold
Asymptotic Dimension

Gaussian heat kernel estimates: From functions to forms

Coulhon, T., Devyver, B. & Sikora, A., 5 Oct 2018, In : Journal fur die Reine und Angewandte Mathematik.

Research output: Contribution to journalArticleResearchpeer-review

Kernel Estimate
Gaussian Kernel
Ricci Curvature
Heat Kernel
Noncompact Manifold

Spectral multipliers, Bochner–Riesz means and uniform Sobolev inequalities for elliptic operators

Sikora, A., Yan, L. & Yao, X., 18 May 2018, In : International Mathematics Research Notices. 2018, 10, p. 3070-3121 52 p.

Research output: Contribution to journalArticleResearchpeer-review

Bochner-Riesz Means
Sobolev Inequality
Elliptic Operator
Multiplier
Perturbation Technique