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New posts in distribution-theory
Topology of the space $\mathcal{D}(\Omega)$ of test functions
general-topology
functional-analysis
distribution-theory
topological-vector-spaces
principal value as distribution, written as integral over singularity
analysis
distribution-theory
Example of a smooth 'step'-function that is constant below 0 and constant above 1
real-analysis
functions
examples-counterexamples
distribution-theory
analyticity
Normal form of currents
differential-geometry
distribution-theory
Heaviside step function fourier transform and principal values
calculus
fourier-analysis
distribution-theory
Is this a dirac delta function?
integration
distribution-theory
Dirac delta function as a limit of sinc function
limits
distribution-theory
dirac-delta
Rigorous derivation/explanation of delta function representation?
complex-analysis
fourier-analysis
distribution-theory
cutoff function vs mollifiers
real-analysis
partial-differential-equations
sobolev-spaces
distribution-theory
regularity-theory-of-pdes
Proving that a family of functions converges to the Dirac delta.
complex-analysis
distribution-theory
Is $\int |x\rangle \langle x|dx$ Mathematical?
functional-analysis
hilbert-spaces
mathematical-physics
distribution-theory
spectral-theory
$\frac{e^{ixt}-1}{ix} \to \frac{i}{x+i0}$ as $t\to\infty$
limits
distribution-theory
Fourier Transform of a Polynomial
fourier-analysis
transformation
distribution-theory
Distribution theory and differential equations.
integration
analysis
ordinary-differential-equations
distribution-theory
Products of distributions in QFT
functional-analysis
mathematical-physics
distribution-theory
quantum-field-theory
Fourier Representation of Dirac's Delta Function
fourier-transform
distribution-theory
dirac-delta
quantum-mechanics
The constant distribution
distribution-theory
Derivatives of $ \frac{1}{r} $ and Dirac delta function
distribution-theory
dirac-delta
singularity
Importance of Schwartz kernel theorem
functional-analysis
analysis
partial-differential-equations
distribution-theory
Prove $\lim_{t\to\infty} \sin(tx) \text{P.V.}\frac{1}{x} = \pi \delta$ in the distributional sense
functional-analysis
distribution-theory
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