# Questions tagged [schwartz-distributions]

A distribution is a continuous linear functional on the space $\mathcal{C}^{\infty}_c$ of smooth (indefinitely differentiable) functions with compact support. Though they appeared in formal computations in the physics and engineering literature in the late $19^{th}$ century, their formal setting was brought up by the work of S. Sobolev and L. Schwartz in the middle of the $20^{th}$ century.

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### How to generalize the various vector calculus theorems to distributions?

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### “Potential” for a divergence-free distribution [duplicate]

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### Uniqueness of distributional solutions to the Poisson equation

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### Derivation in Sobolev space [closed]

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### How to understand subharmonic functions, distributions, and measure?

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### English translation of Schwartz's papers on vector-valued distributions

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### Is this Beppo-Levi curl space a Banach space?

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### Is delta function symmetric against real axis? [closed]

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### Literature on the product of two distributions satisfying the Hörmander condition

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### Poincaré's Lemma in the space of tempered distributions

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### Fourier Transform ; half space elliptic baby problem

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### Approximating compactly supported $L^2$ functions with Schwartz functions “from within”?

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### Feynman path integral and Wilsonian renormalization

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### Support of a fundamental solution of wave equation

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### Functions on dense subgroups of $\mathbb{R}^n$

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### Fourier transformation of a distribution

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### Singularity of L^1-solutions to elliptic PDEs on the puntured ball

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### Order of ultradistribution

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### Mixed partial derivatives of planar functions converging to delta distribution

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### About Dirac function

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### Decomposition of the Schwartz space as a representation for the orthogonal group

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### Wightman reconstruction theorem-details of the proof

**14**

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### strong topologies on $C_c^\infty$

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### Are nuclear spaces used in creating variant theories of distributions?

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### Riesz Representation Theorem for $L^2(\mathbb{R}) \oplus L^2(\mathbb{T})$?

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### Critical Smoothness on Besov Spaces $B^s_{p}$: how does it evolved with $p$?

**11**

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### How do you know that you have succeeded-Constructive Quantum Field Theory and Lagrangian

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### When is a distribution having a finite support actually zero?

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### Existence of a special function

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### Constrain representation of tempered distribution

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### Prove that a given distribution is tempered

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### Does this formula correspond to a series representation of the Dirac delta function $\delta(x)$?

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### Distribution boundary value of analytic function and wave front sets

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### Function of moderate growth: history, motivation, and uses

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### $GL_1(\mathcal{E}'(\mathbb{R}))$ open in $\mathcal{E}'(\mathbb{R})$?

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### Pointwise functional derivative as partial derivative

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### Integral representation of tempered distributions

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### Representation of a Schwartz map in terms of a kernel

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### A question about homogeneous distribution

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### distributional divergence of the gravitational / Coulomb force close to the boundary

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### Smoothness of family of distributions

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### Less regular version of the Gaussian free field

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### Mathematical meaning for the (continuous) Sine-Gordon transformation

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### Did anyone ever introduce an “oscillating unity”?

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### on compact support distributions [closed]

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### Structure theorem for distributions with support in a variety

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### Division theorem for vector-valued distributions

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### Convergence in $\sigma(\mathcal{E}',\mathcal{E})$ versus $\beta(\mathcal{E}',\mathcal{E})$

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### Derivatives of delta function as a basis for distributions [closed]

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