List questions from integral-operators

Published on 04 Oct 2016 - 5:43

77

Views

Is the operator $Af = \int_0^1 k(x,y) f(x) dx$ irreducible provided that $Af = f$ has unique solution such that $\int_0^1 f = 1$

Published on 07 Oct 2016 - 9:02

442

Views

Compact integral operator on $C([0,1])$

Published on 01 Nov 2016 - 9:07

77

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Find linear operator given set of eigenvalues

Published on 04 Nov 2016 - 19:28

679

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Resolvent set of Volterra integral operator

Published on 08 Nov 2016 - 18:38

640

Views

Fractional Laplacian

Published on 24 Mar 2026 - 21:11

146

Views

Are these mappings linear and continuous functionals? Riesz representation theorem.

Published on 13 Dec 2016 - 15:54

147

Views

Integral Operator Satisfying Holmgren Condition is Bounded

Published on 02 Jan 2017 - 20:05

41

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$\alpha \in L(L^p, L^{2p})\; \Rightarrow\; \alpha \in L(L^{2p}, L^{4p}), \, p \in [1,\infty)?$

Published on 14 Jan 2017 - 16:01

59

Views

Infinite application of an operator to all coordinates

Published on 15 Jan 2017 - 22:53

290

Views

Difficulty proving continuity of integral operator.

Published on 19 Jan 2017 - 4:11

94

Views

Weak-* convergence in $C^1([-1,1])^*$

Published on 22 Jan 2017 - 20:01

720

Views

Identity operator on $L^2(\mathbb{R}^d)$

Published on 21 Feb 2017 - 2:22

43

Views

How to express the equation $D|f\rangle=0$ as a differential equation?

Published on 26 Mar 2017 - 7:15

2.8k

Views

Meaning of the inverse of a differential operator

Published on 26 Mar 2017 - 13:34

List Question

Eigenvalues and Eigenfunctions of a Particular Self Adjoint Operator.

Is the operator $Af = \int_0^1 k(x,y) f(x) dx$ irreducible provided that $Af = f$ has unique solution such that $\int_0^1 f = 1$

Compact integral operator on $C([0,1])$

Find linear operator given set of eigenvalues

Resolvent set of Volterra integral operator

Fractional Laplacian

Are these mappings linear and continuous functionals? Riesz representation theorem.

Integral Operator Satisfying Holmgren Condition is Bounded

$\alpha \in L(L^p, L^{2p})\; \Rightarrow\; \alpha \in L(L^{2p}, L^{4p}), \, p \in [1,\infty)?$

Infinite application of an operator to all coordinates

Difficulty proving continuity of integral operator.

Weak-* convergence in $C^1([-1,1])^*$

Identity operator on $L^2(\mathbb{R}^d)$

How to express the equation $D|f\rangle=0$ as a differential equation?

Meaning of the inverse of a differential operator

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