## Linear Operators: Spectral theory |

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**Math**. Soc. 51, 399-412 (1942). Strict convexity and smoothness of normed ...Page 1817

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cluster point of the spectrum of boundary value problems. Amer. J.

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

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

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in its hyperbolic range. I).uke

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**Math**. 70, 22–30 (1948). 11. .1symptotic integrations of the adiabatic oscillatorin its hyperbolic range. I).uke

**Math**. J. 15, 55–67 (1948). 12. On Dirac's theory ofcontinuous spectra. Phys. Rev. 73, 781–785 (1948). - 13. . 1 new criterion for ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Spectral Representation | 909 |

Copyright | |

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### Common terms and phrases

adjoint extension adjoint operator algebra Amer analytic B-algebra Banach Borel set boundary conditions boundary values bounded operator closed closure Cº(I coefficients complete complex numbers continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval kernel Lemma Let f linear operator linearly independent mapping Math matrix measure Nauk SSSR N.S. neighborhood norm open set operators in Hilbert orthogonal orthonormal Plancherel's theorem positive Proc PRoof prove real numbers satisfies sequence singular ſº solution spectral spectral set spectral theory square-integrable subspace Suppose theory To(r topology transform unique unitary vanishes vector zero