## Linear Operators: Spectral theory |

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integrals. Acta Math. 88,85–139 (1952). 5. ...

Calkin, J. W. 1. Abstract symmetric boundary conditions. Trans.

**Amer**. J. Math. 78, 282–288 (1956). 4. On the existence of certain singularintegrals. Acta Math. 88,85–139 (1952). 5. ...

**Amer**. J. Math. 78, 310–320 (1956).Calkin, J. W. 1. Abstract symmetric boundary conditions. Trans.

**Amer**. Math. Soc.Page 1817

cluster point of the spectrum of boundary value problems.

–855 (1948). The gaps in the essential spectra of wave equations.

**Amer**. J. Math. 76, 831–838 (1954). Hartman, P., and Putnam, C. 1. 2. The leastcluster point of the spectrum of boundary value problems.

**Amer**. J. Math. 70, 847–855 (1948). The gaps in the essential spectra of wave equations.

**Amer**. J. Math.Page 1851

Studia Math. 3, 226–238 (1931). Paley, R. E. A. C., and Wiener, N. 1. Fourier

transforms in the complex domain.

New ...

**Amer**. Math. Soc. 89, 259-260 (1933). 3. Some theorems on orthogonal functions.Studia Math. 3, 226–238 (1931). Paley, R. E. A. C., and Wiener, N. 1. Fourier

transforms in the complex domain.

**Amer**. Math. Soc. Colloquium Pub. no. 19,New ...

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

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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 complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity 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