Dear members, I don't see how to prove the following: Let $G$ be a compact group and $(\pi, E)$ a finite linear representation of $G$. We consider a a...
Dear Mostafa Maslouhi  Define the operator $$A:E\rightarrow E$$ as $$A(a)=\int_G\pi(x)a dx$$ where the integral has to be interpreted in the weak sense...
Hello again, It may be illuminating to look at this 1957 paper by Chandrasekhar and Kendall on vector wave equation solutions and their relation to scalar wave...
Bedros Afeyan
bafeyan@...
Apr 28, 2009 5:58 pm
424
Hope this helps http://perso-math.univ-mlv.fr/users/danchin.raphael/courschine.pdf Thang Huynh On Wed, Apr 22, 2009 at 4:38 PM, Stephen Montgomery-Smith <...
Dear All please help me with the proof of this point. the group $G$ is discrete if the Haar measure $\mu$ is discrete. In the proof of this point the writer...
Dear All please help me with the proof of this point. the group $G$ is discrete if the Haar measure $\mu$ is discrete. In the proof of this point the writer...
If you have a locally compact Hausdorff space, then every point has a local basis of compact neighbourhoods. I.e. for any point there is a compact set which...
Can we say that there is no countably additive invariant measure on the additive group of rational numbers with the subspace topology from the real line? ...
Dear All Thanks a lot Maria Roginskala. please help me with the following questions : 1-As I know when $G$ is a compact group then the Haar measure $\mu$ ...
Any subset of rational numbers is a countable union of points. As all points are congruent, you can have either m(p)=0, and then the whole measure is 0. Or you...
Dear Fatima  1. Unless the haar measure is bounded it will not belong to M(G). 2. Ofcourse, one can conclude that the haar measure is not discrete. This...
Dear all, I would like to know why the (Bessel-like ?) operator which maps exp(2i.pi.m.x) |-> exp(2i.pi.m.x) / (1 + |m|^2)^{n/2 - 1} for any multi-index m \in...
This reply assumes that you left out a square root: (1+|m|^2)^{(n/2-1)/2}. This operator may be expressed as convolution with a kernel k(x) which has a...
... I have an elementary proof of a similar result at the end of the paper: http://www.math.missouri.edu/~stephen/preprints/thin.html You may be able to adopt...
Dear all, As you know, the linear bounded operators mapping L^p(R^N) to L^q(R^N) (that commute with translations) are given by a convolution of a tempered...
Dear all, does there exist a characterization of the space of harmonic functions ? (To be clear, let us consider the Banach space of harmonic functions on the...
Dear Members can any one help me about some qusetions from these lemma. we fisrt have some assumptions: Asuumptions: Let $\mu$ be a finite positive regular...
Dear members, Can any one help me on the definition of " $p$ polynomial of $\sigma$-type " where $\sigma$ is a reflection in a coxeter group. Thanks in...
Dear members, I am not a specialist on representation theory. I found this : $\mathcal{P}_{n,\sigma}$ is the set of homogeneous polynomials of $\sigma$-type,...
Concordia University Tenure-track Position in Mathematics The Department of Mathematics and Statistics at Concordia University in Montreal, Quebec, invites...
gdafni@...
Sep 4, 2009 11:12 pm
443
Self nominations for Editor: International Journal of Mathematics & Statistics ... International Journal of Mathematics & Statistics (IJMS) ...
Dear Friends and Colleagues, This is the second announcement of the Ninth Annual Prairie Analysis Seminar to be held at Kansas State University in Manhattan, ...
Rodolfo Torres
torres@...
Sep 7, 2009 7:02 pm
445
Dear Colleagues, This is to announce the forthcoming: Workshop on Fourier and Harmonic Analysis to be held at Wayne State University,* November 14-15, 2009* **...
This is to share with you that there will be a tenure-track assistant professor position at Wayne State University for 2010. The priority will be given to...
I have a linear operator T that is bounded on L^p(w), 2-\epsilon < p < 2+ \epsilon, for a fixed weight w. I know that on L^2(w) the operator norm of T is less...
Hi, maybe I am completely wrong, but one should be able to interpolate since it is bounded on L^{2-\delta}. So for a \varepsilon depending on \delta and the...
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