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How to Choose Basis Solutions for Eigenvalue Problem

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#ordinary-differential-equations #eigenfunctions
177
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How to find Sturm-Liouville problem eigenvalue and function?

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#ordinary-differential-equations #partial-differential-equations #eigenfunctions #sturm-liouville
422
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Eigenfunction expansion to solve non homogenous heat equation

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#partial-differential-equations #fourier-transform #heat-equation #eigenfunctions #sturm-liouville
212
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A Homogeneous Fredholm Equation of Second Kind

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#integration #functional-analysis #spectral-theory #integral-equations #eigenfunctions
125
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Show that for any eigenvalue we can find a real-valued eigenfunction (for the laplacian)

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#partial-differential-equations #eigenfunctions
90
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Discrete Ergodic spectrum

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#functional-analysis #ergodic-theory #eigenfunctions
42
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Finding the domain shape, where the fundamental Helmholtz Eigenmode has certain properties at a boundary

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#geometry #optimization #numerical-optimization #eigenfunctions #inverse-problems
3.7k
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How is the Laplace Transform a Change of basis?

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#linear-algebra #eigenvalues-eigenvectors #laplace-transform #change-of-basis #eigenfunctions
84
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Why is this eigenvalue problem solved by $\phi(r) = J_v(\alpha r)$

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#ordinary-differential-equations #partial-differential-equations #recurrence-relations #eigenfunctions
396
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Eigenvalues and eigenfunctions of an integral operator

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#functional-analysis #eigenvalues-eigenvectors #eigenfunctions #integral-operators
290
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An Orthogonality Problem of Eigenfunctions of homogeneous Fredholm equation

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#functional-analysis #orthogonality #eigenfunctions #integral-operators
43
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Generalization of Rayleigh quotient

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#linear-algebra #eigenfunctions
197
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How to find the optimal ${\bf Q}$ that maximizes $\left|{\bf I}+{\bf AQA^HB^{-1}}\right|$

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#linear-algebra #optimization #eigenfunctions
75
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Method to find eigenfunctions?

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#eigenvalues-eigenvectors #linear-transformations #eigenfunctions
63
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Eigenfunctions of subgroup of Heisenberg matrices

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#group-theory #ergodic-theory #characters #eigenfunctions

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