## Linear Operators: Spectral theory |

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Page 937

CHAPTER XI Miscellaneous Applications This chapter is devoted to applications

of the spectral

mathematics . Since these topics are not in the main stream of our interest we

shall ...

CHAPTER XI Miscellaneous Applications This chapter is devoted to applications

of the spectral

**theory**of normal operators to problems in a variety of fields ofmathematics . Since these topics are not in the main stream of our interest we

shall ...

Page 1435

Thus , in all cases in which we deal with a formal differential operator on an

interval I having coefficients analytic in 1 and with poles at the free end points of I

, the

problem of ...

Thus , in all cases in which we deal with a formal differential operator on an

interval I having coefficients analytic in 1 and with poles at the free end points of I

, the

**theory**of regular and irregular singularities enables us to reduce theproblem of ...

Page 1804

Symposium on Spectral

problem in spectral

Mass . , 1950 , Vol . 2 , 115 - 122 . 17 . Spectral

identity .

Symposium on Spectral

**Theory**etc . , 203 - 208 ( 1951 ) . 16 . The reductionproblem in spectral

**theory**. Proc . International Congress Math . , Cambridge ,Mass . , 1950 , Vol . 2 , 115 - 122 . 17 . Spectral

**theory**. II . Resolutions of theidentity .

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 other sections not shown

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### Common terms and phrases

additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently consider 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 multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero