## Linear Operators: Spectral theory |

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Page v

While there are some isolated discussions of nonself ad joint operators, such as

that giving the completeness of the generalized eigenfunctions of Hilbert-Schmidt

operators in

While there are some isolated discussions of nonself ad joint operators, such as

that giving the completeness of the generalized eigenfunctions of Hilbert-Schmidt

operators in

**Section**XI.6, the general theory of spectral operators and the ...Page 1392

In that

on the basis of this theory, will discuss a ... Qualitative Theory of the Deficiency

Index The methods developed in

In that

**section**we shall first develop a part of the theory of "special functions," andon the basis of this theory, will discuss a ... Qualitative Theory of the Deficiency

Index The methods developed in

**Section**5, especially the Titchmarsh- Kodaira ...Page 1634

For this reason, we shall devote the next

notational conventions and abbreviations which will be of considerable use in the

For this reason, we shall devote the next

**section**to the statement of a series ofnotational conventions and abbreviations which will be of considerable use in the

**sections**to follow. In the body of our analysis (as in the elementary proof of local ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### Common terms and phrases

Acad adjoint extension adjoint operator algebra Amer analytic B*-algebra Banach spaces Borel set boundary conditions boundary values bounded operator closed closure coefficients complex numbers constant 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 q Haar measure Hence Hilbert space Hilbert-Schmidt operator hypothesis identity inequality integral interval kernel Lemma linear operator linearly independent mapping matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal partial differential operator Plancherel's theorem positive preceding lemma Proc prove real axis real numbers representation satisfies Section sequence singular solution spectral spectral theory square-integrable subspace Suppose symmetric operator theory topology transform unique unitary vanishes vector zero