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Topology and Analysis

- Point-set topology. Real, complex, harmonic and functional analysis. Measure and integration theory
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 28,119
Just as the title says, what is a POD? I've tried reading papers but I feel I am missing something. Does anyone have a...
Jul28-14 01:16 PM
5 980
We know that the derivative of the general Schwartz - Christoffel map (function) is: f'(z) = λ(z -...
Jul20-14 10:09 AM
0 984
I'm trying to understand Čech cohomology and for this I'm looking at the example of ##S^1## defined as ##/\sim## with...
Jul19-14 08:06 AM
1 1,208
I am trying to show that for f in C , and ##n=0,1,2,... ## we have: ## \int_0^1 x^n f(x)dx =0 ## (&&) , then...
Jul19-14 03:26 AM
4 480
Hi All, This is a follow-up to another post. Question is: Is the restriction of an isotopy that is the identity...
Jul19-14 03:23 AM
6 618
Hi all, Isn't the mapping class group of a contractible space trivial (or, if we consider isotopy, {+/-Id})? ...
Jul15-14 08:30 PM
11 2,015
I've been reading Thomas Jordan's Linear Operators for Quantum Mechanics, and I am stalled out at the bottom of page...
Jul13-14 04:05 PM
2 1,215
I was suprised to realize that foliation theory was actually closely related to topology. Indeed,...
Jul12-14 08:28 PM
2 1,706
Suppose, for a suitable class of real-valued test functions T(\mathbb{R}^n), that \{G_x\} is a one-parameter family of...
Jul10-14 04:32 PM
Greg Bernhardt
1 2,395
How to calculate ##\int^{\infty}_{-\infty}\frac{\delta(x-x')}{x-x'}dx'## What is a value of this integral? In some...
Jul6-14 04:49 PM
14 4,244
I don't have the whole book A First Course in Sobolev Spaces by G. Leoni myself, but I have obtained a pdf file of the...
Jul6-14 12:00 AM
3 1,212
Visualizing a higher-dimensional sphere seems impossible to me. The best that can be done is to come up with several...
Jul3-14 09:17 AM
2 3,208
Hello! My problem consists of : there is a representation of an uneven surface in terms of Fourier series with...
Jul2-14 03:33 PM
2 1,820
This question is in this rubric because I figured it belonged to measure theory, but I am ready to move it if I am...
Jul2-14 11:13 AM
2 1,530
Suppose we are given two functions: f:\mathbb R \times \mathbb C \rightarrow\mathbb C g:\mathbb R \times \mathbb C...
Jun13-14 04:38 PM
1 1,459
Hi all, Could you please help me understand the Fresnel integral and Green's functions? Could you please explain...
Jun13-14 06:15 AM
2 1,296
series expansion: ln(1+x)=1-x^2/2+x^3/3-x^4/4+x^5/5+..........................∞ ...
Jun12-14 12:17 PM
12 1,587
Hello everyone,i am doing my project in image processing.... i have done video sementation using the Fourier...
Jun11-14 05:42 AM
2 1,409
Could anybody explain what divisors and the Riemann-Roch theorem are intuitively, motivating them, without any jargon...
Jun10-14 12:31 AM
3 1,369
Assumptions: f:\to\mathbb{R} is some measurable function, and M is some constant. We assume that the function has the...
Jun8-14 04:27 PM
10 2,226
I want to show that the modulus of the automorphism \frac{a-z}{1-\overline{a}z} is strictly bounded by 1 in the...
Jun5-14 05:20 PM
2 1,268
hey pf! physically, what does a fourier transform do? physically what comes out if i put velocity in? thanks! ...
Jun5-14 12:36 AM
Simon Bridge
18 3,163
Hello One problem I often think I have is that I am able to solve a problem, but not really understanding the idea...
Jun4-14 01:57 PM
4 1,544
Is it possible for a ball(with nonzero radius) to be empty in an arbitrary metric space?
Jun2-14 12:39 PM
1 1,339
Is it possible to perform a Fourier transform on a shape instead of a rectangular region? To be specific I am...
May30-14 04:49 AM
1 1,340
Can someone tell me if the continuous fourier transform of a continuous (and vanishing fast enough ) function is also...
May28-14 02:29 AM
4 1,394
Can anybody helps in suggesting books on Fourier transforms and applications. I have seen many applications of Fourier...
May26-14 07:48 PM
8 1,705
Hi, this issue came up in another site: We want to compute ( not just ) the deRham cohomology of ## X=\mathbb...
May23-14 01:15 PM
4 1,375
The intuitive picture I have of giving a set a topology, is that of giving it a shape in the sense of connecting the...
May20-14 06:35 PM
7 1,511
Hi, Let V be a fin. dim. vector space over Reals or Complexes and let L: V-->V be a linear operator. I am just...
May18-14 01:53 PM
1 1,325
Why is preferable to use the line integral than the area integral over the complex plane?
May17-14 08:19 PM
2 1,503
Why is the characteristic function* of a ball in Rn continuous everywhere except on its surface?My lecturer said that...
May10-14 08:06 AM
5 1,802
Define ##\rho(f)=\int |f|\mathrm d\mu## for all integrable ##f:X\to\mathbb C##. This ##\rho## is a seminorm, not a...
May8-14 03:08 PM
21 3,520
Hi all, I was reviewing some old material on the representation of orientable surfaces in terms of disks and bands , ...
May4-14 10:35 PM
2 1,516
I asked this in the logic&probability subforum, but I thought I'd try my luck here. ...... Let (A,\mathcal A),...
May4-14 10:21 PM
Greg Bernhardt
1 1,491
I've got a Green's function in which all the impulses are on the line from the north pole to the origin (polar angle...
May4-14 10:21 PM
Greg Bernhardt
1 1,738
I am reading James Munkres' book, Elements of Algebraic Topology. Theorem 6.2 on page 35 concerns the homology...
Apr28-14 09:19 PM
12 1,782
Can a measurable function be a.e. equal to a non-measurable function? Let ##(X,\Sigma,\mu)## be an arbitrary...
Apr28-14 12:44 PM
13 1,932
Hi How much different is complex analysis from vector calculus? To me complex analysis looks like vector calculus...
Apr27-14 02:43 PM
19 4,932
I am reading James Munkres' book, Elements of Algebraic Topology. Theorem 6.5 on page 39 concerns the homology...
Apr24-14 07:28 PM
Math Amateur
4 1,520

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