Nicolas Essis-Breton
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Questions (146)

 13 Does the complex conjugate of an integral equal the integral of the conjugate? 11 Is there a continuous bijection between an interval and a square: $[0,1] \mapsto [0,1] \times [0,1]$? 11 Sum of product of binomial coefficient 8 References on the Nash-Moser implicit function theorem 7 Show $\sum\limits_{n=0}^{\infty}{2n \choose n}x^n=(1-4x)^{-1/2}$

Reputation (1,898)

 +5 Give an example a function sequence in the Schwartz space $\mathcal S(\Bbb R)$ which does not converge +5 Show smooth functions of compact support are dense in the Schwartz space +5 $X_n \sim \text{Exponential}(\lambda_n)$, independent, $\sum 1/\lambda_n = \infty$, then, $\sum X_n=\infty$ a.s. +5 Does the complex conjugate of an integral equal the integral of the conjugate?

 2 How does one give a mathematical talk? 2 How do I sketch the following metrics: 1 Show $g(a)= \operatorname*{arg}_{b \in B} \, f(a,b)=0$ is continuous when $g(a)$ is single-valued and $f$ continuous 1 Show $f \in L^p$ implies there is a set $E$ and a function $g$ for which $f=f\chi_E+g$ with $m(E)<\infty$ and $|g|\le 1$ 0 Prove inequality using optional sampling

Tags (77)

 2 metric-spaces × 9 1 real-analysis × 20 2 soft-question 1 analysis × 12 2 advice 0 fourier-analysis × 29 2 commutative-algebra 0 probability-theory × 24 1 measure-theory × 24 0 probability × 11

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