Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials
The Journal of Geometric Analysis, 2021 For each positive integer $d$, we prove a uniform $l^2$-decoupling inequality for the collection of all polynomials phases of degree at most $d$. Our result is intimately related to \cite{MR4078083}, but we use a different partition that is determined by the g...
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| creator | Yang, Tongou |
| description | The Journal of Geometric Analysis, 2021 For each positive integer $d$, we prove a uniform $l^2$-decoupling inequality
for the collection of all polynomials phases of degree at most $d$. Our result
is intimately related to \cite{MR4078083}, but we use a different partition
that is determined by the geometry of each individual phase function. |
| doi_str_mv | 10.48550/arxiv.2006.03135 |
| format | Article |
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for the collection of all polynomials phases of degree at most $d$. Our result
is intimately related to \cite{MR4078083}, but we use a different partition
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for the collection of all polynomials phases of degree at most $d$. Our result
is intimately related to \cite{MR4078083}, but we use a different partition
that is determined by the geometry of each individual phase function.</description><subject>Mathematics - Classical Analysis and ODEs</subject><subject>Mathematics - Number Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjAw0zMwNjQ25WSwDM3LTMsvylVQyYkzUtFNSU3OLy3IycxLV8jMU1CJyU0syUhKUggCyikAlSkE5OdU5uXnZibmFPMwsKYBqVReKM3NIO_mGuLsoQu2JL6gKDM3sagyHmRZPNgyY8IqAJuUMo0</recordid><startdate>20200604</startdate><enddate>20200604</enddate><creator>Yang, Tongou</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20200604</creationdate><title>Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials</title><author>Yang, Tongou</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2006_031353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - Classical Analysis and ODEs</topic><topic>Mathematics - Number Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Yang, Tongou</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Yang, Tongou</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials</atitle><date>2020-06-04</date><risdate>2020</risdate><abstract>The Journal of Geometric Analysis, 2021 For each positive integer $d$, we prove a uniform $l^2$-decoupling inequality
for the collection of all polynomials phases of degree at most $d$. Our result
is intimately related to \cite{MR4078083}, but we use a different partition
that is determined by the geometry of each individual phase function.</abstract><doi>10.48550/arxiv.2006.03135</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| subjects | Mathematics - Classical Analysis and ODEs Mathematics - Number Theory |
| title | Uniform $l^2$-decoupling in $\mathbb R^2$ for Polynomials |
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