Hi all, Suppose I have a known 3-D vector field $\hat{b}$, is it always possible to express another vector field(Let's call it A) which is perpendicular to...
412
sxsw@...
sxsw...
Apr 20, 2009 6:07 pm
Dear All, Let me ask a related question here: What are the characteristics/properties of a vector field that can be expressed as $\hat{b}\times\nabla\Phi$...
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Bedros Afeyan
bbafeyan
Apr 20, 2009 6:31 pm
Dear SXSW, Are you aware of the Helmholtz theorem on general decompositions of vector fields into potentials that are curl free and divergence free (sometimes...
414
tao_mei
calmeplat2000
Apr 20, 2009 8:59 pm
Dear all, I am looking for a participant to share a hotel-room for Fefferman's conference from May 4-8 th at Princeton. I booked one (nonsmoking) room at...
415
sxsw@...
sxsw...
Apr 20, 2009 9:00 pm
Hi Dr. Afeyan, Yes, I am well aware of that. I totally agree that the field perpendicular to $\hat{b}$ can be decomposed into $\nabla\Phi +...
416
sxsw@...
sxsw...
Apr 21, 2009 9:53 pm
Dear All, I think I can put my original question in a cleaner, equivalent form: Given an arbitrary vector field in 3-D, $\vec{A}$, is it always possible to...
417
hard.wisdom
Apr 22, 2009 4:43 pm
Dear members is there a rather elementary book on Navier-Stokes equation (e.i. fluid dynamics) within the framework of harmonic analysis? best regards, anthony...
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J. Colliander
lowregularity
Apr 22, 2009 8:14 pm
I don't know about elementary....but one source is the book by P.G Lemarie-Reusset entitled "Recent Developments in the Navier-Stokes problem". Another...
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Stephen Montgomery-Sm...
stephenmontg...
Apr 22, 2009 8:38 pm
... My impression is that most of the books try hard not to be elementary. The authors like to state the results in maximally general form, and most general...
420
Prof Mihail N Kolount...
kolount
Apr 27, 2009 9:30 am
http://fourier.math.uoc.gr/ch2009 <http://fourier.math.uoc.gr/ch2009> Complex and Harmonic Analysis 2009 Archanes, 3-5 September 2009 At the Department of...
421
maslouhi mostafa
maslouhi_mos...
Apr 27, 2009 3:45 pm
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...
422
shravan kumar
meet_shravan
Apr 28, 2009 4:55 pm
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...
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Bedros Afeyan
bafeyan@...
Apr 28, 2009 5:58 pm
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...
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Thang Huynh
thang_huynhle
Apr 28, 2009 9:45 pm
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 <...
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fatima22_m
Apr 30, 2009 2:52 pm
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...
426
fatima22_m
Apr 30, 2009 2:52 pm
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...
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Maria Roginskaya
mariar239
Apr 30, 2009 7:59 pm
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...
428
rauindia
May 1, 2009 4:38 pm
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? ...
429
fatima22_m
May 1, 2009 4:38 pm
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 $\mu$ ...
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Maria Roginskaya
mariar239
May 1, 2009 6:03 pm
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...
431
shravan kumar
meet_shravan
May 4, 2009 3:22 pm
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...
432
bianca.diblasio
biancadiblasio
May 4, 2009 7:44 pm
Dear all, the program of the workshop "Harmonic Analysis and Gelfand pairs", Milan, may, 14-16 is available:...
433
lakhmau
May 14, 2009 3:18 pm
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...
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Philip Gressman
ptgressman
May 14, 2009 11:11 pm
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...
435
Stephen Montgomery-Sm...
stephenmontg...
May 15, 2009 1:45 am
... 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...
436
lakhmau
May 15, 2009 3:41 pm
Thanks a lot....
437
andredelaire
Jun 16, 2009 5:07 pm
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...
438
lakhmau
Jul 8, 2009 3:48 pm
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...
439
fatima22_m
Aug 16, 2009 3:21 pm
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...
440
maslouhi mostafa
maslouhi_mos...
Aug 26, 2009 4:59 am
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...
