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Covering a non-closed interval by disjoint closed intervals
this note will talk about the Ostrowski representation and approximation by cont…
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Heat flow and the zero of polynomial-a approach to Riemann Hypesis
There is a main obstacle to improve the kakeya conjecture,remain in dimension 3,…
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Kakeya conjecture in R^3
Kakeya conjecture in $latex R^3$ is very subtle.in fact wolff stay the best(but …
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Fractional uncertain principle
semyon dyatlov的一篇文章 semyon dyatlov的文章https://arxiv.org/pdf/1710.05430.pdf，用fract…
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Natural of the restriction problem
1. the most natural problem in harmonic analysis may be: investigate for …
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Kakeya Conjecture
Last year I read a nice blog articles Recent progress on the Kakeya conjecture&n…
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Analysis Qualifying Examination(UCLA 2009)
1. Let $ f,g$ be real-valued integrable functions on a measure space $ (X,B,\mu)…
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Schauder estimate and Sobelov inequality
In this note we discuss the Schauder theory for uniformly elliptic linear equati…
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1. some example and observations $latex {(M^2,g)}&fg=000000$,$latex {g(t)=e^…
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Atiyah-Singer index theorem 2
1. rough outline of heat kernel proof of Atiyah-singer index theorem 1.1. proof …