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7 Questions

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Continuity of linear functionals on $L^1([a,b])$ with the $L^1$ functions composed with $C^1$ functions

real-analysis integration functional-analysis linear-transformations lp-spaces

Oct 26 at 22:28 Ruy 6,704

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vote

0

answers

77

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Laplacian of Kelvin Transform - Confusion about notation

analysis multivariable-calculus laplacian partial-differential-equations

Apr 26 at 16:01 zugzug 4,820

1

vote

1

answer

56

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Is the weak derivative invertible from $H^1(\mathbb{R})\to L^2(\mathbb{R})$?

real-analysis functional-analysis hilbert-spaces sobolev-spaces

Jan 2 '20 at 15:08 reuns 50.8k

1

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0

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81

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Fréchet Derivative in Integral Operator with Heaviside Function

real-analysis integration functional-analysis operator-theory

Dec 27 '19 at 22:22 Bernard 161k

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0

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64

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Clarification of Riesz Representation, kernels on $C^2_0(\mathbb{R})$

functional-analysis linear-transformations banach-spaces

Jul 12 '18 at 20:25 zugzug 4,820

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0

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Nonlinear, homogeneous Volterra Equation with Positive Kernel

functional-analysis ordinary-differential-equations integral-equations

Jun 30 '18 at 2:02 zugzug 4,820

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43

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Compact operators on $L^2([a,b])$: Are the dimensions of eigenspaces the same on dense subspaces?

real-analysis functional-analysis eigenvalues-eigenvectors hilbert-spaces compact-operators

Jan 2 '20 at 2:41 Robert Israel 397k

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