THE WEYL TRANSFORM OF A SMOOTH MEASURE ON A REAL-ANALYTIC SUBMANIFOLD

Abstract If $\mu $ is a smooth measure supported on a real-analytic submanifold of ${\mathbb {R}}^{2n}$ which is not contained in any affine hyperplane, then the Weyl transform of $\mu $ is a compact operator.

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2024-10-11
DOI
https://doi.org/10.1017/s0004972724000881
Citations
3
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
2.93
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article

THE WEYL TRANSFORM OF A SMOOTH MEASURE ON A REAL-ANALYTIC SUBMANIFOLD

M. K. VEMURI, Mansi Mishra
3 citations
Bulletin of the Australian Mathematical Society
Mathematical Analysis and Transform Methods
2.93
article

THE WEYL TRANSFORM OF A SMOOTH MEASURE ON A REAL-ANALYTIC SUBMANIFOLD

M. K. VEMURI, Mansi Mishra
article en
3 citations

Abstract

Abstract If $\mu $ is a smooth measure supported on a real-analytic submanifold of ${\mathbb {R}}^{2n}$ which is not contained in any affine hyperplane, then the Weyl transform of $\mu $ is a compact operator.

Bulletin of the Australian Mathematical SocietyVol. 112(1)
Indian Institute of Technology BHU (IN), Banaras Hindu University (IN)
Openalex Percentile: Top 9%
Mathematical Analysis and Transform Methods
2.93
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THE WEYL TRANSFORM OF A SMOOTH MEASURE ON A REAL-ANALYTIC SUBMANIFOLD — M. K. VEMURI, Mansi Mishra · Bulletin of the Australian Mathematical Society (2024) | TGRS Research Map | TGRS