Search Results
Search type | Search syntax |
---|---|
Tags | [tag] |
Exact | "words here" |
Author |
user:1234 user:me (yours) |
Score |
score:3 (3+) score:0 (none) |
Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
Views | views:250 |
Code | code:"if (foo != bar)" |
Sections |
title:apples body:"apples oranges" |
URL | url:"*.example.com" |
Saves | in:saves |
Status |
closed:yes duplicate:no migrated:no wiki:no |
Types |
is:question is:answer |
Exclude |
-[tag] -apples |
For more details on advanced search visit our help page |
Harmonic analysis is a generalisation of Fourier analysis that studies the properties of functions. Check out this tag for abstract harmonic analysis (on abelian locally compact groups), or Euclidean harmonic analysis (eg, Littlewood-Paley theory, singular integrals). It also covers harmonic analysis on tube domains, as well as the study of eigenvalues and eigenvectors of the Laplacian on domains, manifolds and graphs.
1
vote
0
answers
105
views
$(i\partial_t)^{\frac{1}{2}} e^{it\Delta} f = (-\Delta )^{\frac{1}{2}} e^{it\Delta} f$?
Put $\langle x \rangle ^s = (1 + |x|)^{1/2},$ and $|\nabla |^s $ denotes the Fourier multiplier with symbol $|\xi|^s$, that is, $\widehat{|\nabla |^s f} = |\xi|^s \hat{f}.$
Put $ \langle \nabla \r …
2
votes
0
answers
60
views
When are solutions of the Schrödinger equation radial?
Let $S$ be a nonnegative self-adjoint operator on a complex Hilbert space $X$. (For example, $X$ consists of functions on $\mathbb R^d$; it could be $L^2(\mathbb R^d), \dot{H}^2(\mathbb R^d)$, etc. …