Does Schartz space of functions defined on positive halfline exists in a meaningful way? How does such functions look like and do you know any applications of such space?
2025-04-19 02:26:29.1745029589
What is $ \mathcal S ( \mathbb R_+ )$?
50 Views Asked by wroobell https://math.techqa.club/user/wroobell/detail AtRelated Questions in FUNCTIONAL-ANALYSIS
- equivalent definitions of weak topology on a topological vector space
- Interpreting function notation?
- Dimension of $\ell^{1}$.
- Existence of an element in the infinite dimensional normed linear space?
- Confusing on lower semi continuous and its application in minimize problem
- Uniform and Compact Open Topology on spaces of maps from $\mathbb{R} \rightarrow \mathbb{R}$
- Trace Class: Relativeness
- Extension theorem for Sobolev spaces $W^{1,\infty}(\Omega)$: is there an elementary proof?
- Counterexample to $L^1$-boundedness of the maximal operator $f \mapsto f^\#$ with $f^{\sharp}(x):=\sup_{Q\ni x}\frac{1}{|Q|}\int_{Q}|f-(f)_{Q}|dy$
- Video lectures on Functional Analysis
Related Questions in PARTIAL-DIFFERENTIAL-EQUATIONS
- How to solve the following parabolic pde?
- How to transform this nonhomogeneous equation into a homogeneous one by change of variables?
- $L^2$-norm of a solution of the heat equation
- Navier-Stokes on concentric cylinders
- Eliminate all parameters from the differential equation $u_t-Au_x-Bu^3+Cu_{xx}=0$.
- Prove there do not exists such distribution.
- Solving a heat equaton.
- Laplace equation :mean value formula for gradient of weak solution
- Solution of the IVP $\frac{\partial{u}}{\partial{t}}+\frac{\partial^2{u}}{\partial{x^2}}=0$.
- When does a Riemaniann metric form a coercive quadratic form?
Related Questions in FOURIER-ANALYSIS
- The distribution of fourier coefficients of a Rademacher sequence
- Effect of sampling frequency on Discrete Fourier Transform?
- Fourier transform to determine stability of fixpoint of equation with temporal convolution
- Find Fourier transform of triangular function based on a Fourier results of rectangular
- Let $f\in C^1[-\pi ,\pi]$ be such that $f(-\pi)=f(\pi)$Show that $\{na_n\} $ is convergent to $0$
- Is this Fourier Transform relation correct?
- What are all functions of the form $\frac{\cosh(\alpha x)}{\cosh x+c}$ self-reciprocal under Fourier transform?
- Use the Inverse Fourier transform to show the Dirac-Delta function as a limit of the sinc function
- Compute Fourier Transform using conditional expectation
- A question involving sharpening the bound on Sobolev type inequality with Sobolev spaces in terms of distributions of Schwartz functions
Related Questions in SCHWARTZ-SPACE
- A question involving sharpening the bound on Sobolev type inequality with Sobolev spaces in terms of distributions of Schwartz functions
- Some intuition on a specific problem on Sobolev's embedding theorem with its relation to Fourier transform of restricted functions
- Differential operators acting on the Schwartz space
- Understanding Schwartz functions
- Show that $K(x,y)=(2^{nk}\mathcal{F}^{-1}(2^kx))_{k\in\mathbb{Z}}$ is a singular kernel
- Possible density of Schwartz Functions in the space of continuous functions vanishing at infinity
- well defined solution of heat equations
- Fourier Transform of the "regular" tempered distribution of $|x|$
- Are the three statements the same?
- A Schwartz function is identically zero on $\mathbb R^2$ if its integral on every line in the plane is zero
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity