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If $f$ is in the span of eigenfunctions, then $|f|$ is also in the span of eigenfunctions.

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#measure-theory #eigenvalues-eigenvectors #dynamical-systems #ergodic-theory #eigenfunctions
44
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Spectral Theory of Markov Jump Processes (continuous-time)

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#markov-chains #spectral-theory #markov-process #eigenfunctions
535
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Eigenfunction Expansion and Fourier Series

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#partial-differential-equations #eigenfunctions #linear-pde #parabolic-pde
330
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Rayleigh-ritz method to estimate eigenvalues

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#ordinary-differential-equations #boundary-value-problem #eigenfunctions #sturm-liouville
89
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Solve for the eigenvalues and eigenfunctions for the equation $y''+\lambda y =0$

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#ordinary-differential-equations #eigenfunctions
456
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Sturm-Liouville problem with regular-singular point in the interval

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#ordinary-differential-equations #spectral-theory #eigenfunctions #differential-operators #sturm-liouville
52
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Why does separation of variables give all solutions to a PDE in $L^2(\Omega)$?

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#partial-differential-equations #eigenvalues-eigenvectors #eigenfunctions
178
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How to analyse the smallest eigenvalue of this linear ODE?

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#ordinary-differential-equations #eigenvalues-eigenvectors #boundary-value-problem #eigenfunctions #sturm-liouville
169
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Graph Fourier transform: the adjoint notation for the eigenbasis matrix

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#linear-algebra #eigenvalues-eigenvectors #diagonalization #signal-processing #eigenfunctions
248
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Simple eigenvalue for eigenfunctions

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#analysis #partial-differential-equations #eigenfunctions
80
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How do I determine the equation to calculate the Eigenvalues of a PDE?

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#partial-differential-equations #eigenvalues-eigenvectors #eigenfunctions
81
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Square-integrable eigenfunctions of the Schrödinger operator decay $\pm \infty$

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#real-analysis #limits #hilbert-spaces #eigenfunctions
61
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Find an eigenvector of M corresponding to eigenvalue k

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#matrices #eigenfunctions
93
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Can anyone see what I've done wrong in solving this PDE?

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#proof-verification #partial-differential-equations #eigenvalues-eigenvectors #heat-equation #eigenfunctions
159
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Cumulant generating function and largest eigenvalue of operator

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#stochastic-calculus #eigenfunctions #large-deviation-theory #cumulants

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