Question

Finding the spectral decomposition of $\Delta= \frac{d^2}{dx^2}$

score 98 · Answer 1 · 2015-12-30 12:00:59

98

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Finding the spectral decomposition of $\Delta= \frac{d^2}{dx^2}$

Published on 30 Dec 2015 - 12:00

score 786 · Answer 2 · 2015-12-30 22:53:14

786

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$\lambda$ is an eigenvalue iff spectral measure of $\lambda$ is nonzero

Published on 30 Dec 2015 - 22:53

score 74 · Answer 3 · 2015-12-31 17:58:48

74

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Isolated Eigenvalues on the Extensions.

Published on 31 Dec 2015 - 17:58

score 134 · Answer 4 · 2016-01-02 05:16:40

134

Views

Clarification on point spectrum of an operator

Published on 02 Jan 2016 - 5:16

score 151 · Answer 5 · 2016-01-06 21:29:17

151

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The topology of the spectrum of a linear operator

Published on 06 Jan 2016 - 21:29

score 86 · Answer 6 · 2016-01-12 10:09:02

86

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Does there exist a self-adjoint operator whose spectrum is just the continuous spectrum?

Published on 12 Jan 2016 - 10:09

score 381 · Answer 7 · 2016-01-12 16:43:02

381

Views

Orthogonal projection onto the eigenspace of compact, self-adjoint operators.

Published on 12 Jan 2016 - 16:43

score 638 · Answer 8 · 2016-01-12 19:32:59

638

Views

Uniform convergence in Mercer Theorem for bounded kernels

Published on 12 Jan 2016 - 19:32

score 95 · Answer 9 · 2026-03-29 05:27:24

95

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Spectrum $\sigma(T)$ of $T:l^1 \to l^1$ given by $T((a_j))=\left( \sum_{j=2}^{\infty} a_j \right) e_1 + \sum_{j=2}^{\infty} a_{j-1} e_j$

Published on 29 Mar 2026 - 5:27

score 1k · Answer 10 · 2026-03-29 05:49:37

1k

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Different versions of Mercer's theorem

Published on 29 Mar 2026 - 5:49

score 475 · Answer 11 · 2016-01-15 18:24:36

475

Views

Nonempty intersection between approximate point spectrum and residual spectrum

Published on 15 Jan 2016 - 18:24

score 84 · Answer 12 · 2016-01-18 04:44:39

84

Views

References on the spectral theory of the Floquet problem

Published on 18 Jan 2016 - 4:44

score 55 · Answer 13 · 2026-03-31 14:20:59

55

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How to prove that $f(x) = \int_{0}^{\infty} f_{\lambda} (x) \, d\lambda$ where $f_{\lambda} $ is the eigenfunctions of $\Delta$

Published on 31 Mar 2026 - 14:20

score 368 · Answer 14 · 2016-01-19 19:01:12

368

Views

Spectrum of operator in $l_2$

Published on 19 Jan 2016 - 19:01

score 78 · Answer 15 · 2016-01-21 18:19:29

78

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Can one hear the material of a drumhead?

Published on 21 Jan 2016 - 18:19

List Question

Finding the spectral decomposition of $\Delta= \frac{d^2}{dx^2}$

$\lambda$ is an eigenvalue iff spectral measure of $\lambda$ is nonzero

Isolated Eigenvalues on the Extensions.

Clarification on point spectrum of an operator

The topology of the spectrum of a linear operator

Does there exist a self-adjoint operator whose spectrum is just the continuous spectrum?

Orthogonal projection onto the eigenspace of compact, self-adjoint operators.

Uniform convergence in Mercer Theorem for bounded kernels

Spectrum $\sigma(T)$ of $T:l^1 \to l^1$ given by $T((a_j))=\left( \sum_{j=2}^{\infty} a_j \right) e_1 + \sum_{j=2}^{\infty} a_{j-1} e_j$

Different versions of Mercer's theorem

Nonempty intersection between approximate point spectrum and residual spectrum

References on the spectral theory of the Floquet problem

How to prove that $f(x) = \int_{0}^{\infty} f_{\lambda} (x) \, d\lambda$ where $f_{\lambda} $ is the eigenfunctions of $\Delta$

Spectrum of operator in $l_2$

Can one hear the material of a drumhead?

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