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 14h comment Monotone property of transition density of rotational $\alpha$-stable process Didn't know the relation between subordinator and rotational stable process before. Thank you very much! 14h accepted Monotone property of transition density of rotational $\alpha$-stable process 19h comment Monotone property of transition density of rotational $\alpha$-stable process @saz Yes, I know subordination. But how to get the conclusion? 1d revised Monotone property of transition density of rotational $\alpha$-stable process edited tags 1d asked Monotone property of transition density of rotational $\alpha$-stable process 2d comment Uniformly Continuous Like Property of the Integration on Measure Space Nice solution. Thank you very much! Mar 24 comment How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? Get it. Thanks a lot! Mar 23 comment How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? I think I thought wrong with the calculation of $c$. Could you give me some hint or reference of calculation of it? Thanks! Mar 23 accepted How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? Mar 23 comment How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? Very nice! Honestly, the constant $c$ is exactly what I need. But with your help, I think I can do it myself. (It will need analytic extension, I think). Mar 23 comment How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? @saz Got it. Thanks! And how to integrate it? Mar 23 revised How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? added 19 characters in body Mar 23 comment How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? @saz Edited. I thought $\int (i(x,y)1_{|y|\leq 1})|y|^{-\alpha-n}dy$=0 by symmetric with $y$. What is wrong here? Thanks! Mar 23 asked How to integrate $\int_{\mathbb R^n}\left(1-e^{i(x,y)}+i(x,y)1_{|y|\leq1}\right)|y|^{-\alpha-n}dy$? Jan 24 asked Is the space of discrete probabilities measurable in the space of probabilities with weak topology? Jan 24 answered In the space of probability distributions, is the set of discrete distributions dense? Jan 23 asked Uniqueness of random measure Dec 17 awarded Inquisitive Dec 16 asked Question about the bounded requirement of the simple function of definition of stochastic integration Dec 9 comment Suppose $\lim \left( a_{n}+a_{n+1} \right)=0$. Show that $\lim a_{n}=0$ or $0 < \limsup a_{n}$. If $\limsup a_n<0$, there will be a contradiction. If $\limsup a_n=0$, prove $\liminf a_n=0$ by contradiction.