## Linear Operators: Spectral theory |

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Page 1383

With boundary conditions A and C, the unique solution of tso = Ao satisfying the

boundary condition raq = Mo is sin Våt. With boundary conditions A, the

With boundary conditions A and C, the unique solution of tso = Ao satisfying the

boundary condition raq = Mo is sin Våt. With boundary conditions A, the

**eigenvalues**are consequently to be determined from the equation sin V2 = 0.Page 1497

In the former case the matrix B(A) necessarily has an eigenvector belonging to

the

entirely of

infinity.

In the former case the matrix B(A) necessarily has an eigenvector belonging to

the

**eigenvalue**+1; in the latter case, to the ... T1 and T, whose spectra consistentirely of

**eigenvalues**which, by Lemma 29 and Corollary 24, approach plusinfinity.

Page 1615

Reference: Rosenfeld, N. S., The

Operators, Comm. Pure Appl. Math. 18, 395–405 (1960). He proves the following

theorem. THEoREM. Let q(t) < 0 be twice continuously differentiable, lim, so q(t) ...

Reference: Rosenfeld, N. S., The

**Eigenvalues**of a Class of Singular DifferentialOperators, Comm. Pure Appl. Math. 18, 395–405 (1960). He proves the following

theorem. THEoREM. Let q(t) < 0 be twice continuously differentiable, lim, so q(t) ...

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

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