## Linear Operators: Spectral theory |

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Page 941

... and by Theorem VII.4.5 the eigenfunctions corresponding to an

... and by Theorem VII.4.5 the eigenfunctions corresponding to an

**eigenvalue**2 # 0 form a finite dimensional XI.1.4 941 COMPACT GROUPS.Page 944

To see that F , is one - dimensional , let s be fixed and let 2 ( s ) be an

To see that F , is one - dimensional , let s be fixed and let 2 ( s ) be an

**eigenvalue**of the operator R , considered in the space Fi .Page 1615

Reference : Rosenfeld , N. S. , The

Reference : Rosenfeld , N. S. , The

**Eigenvalues**of a Class of Singular Differential Operators , Comm . Pure Appl . Math . 13 , 395–405 ( 1960 ) .### What people are saying - Write a review

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero