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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
M L Gorbachuk; V I Gorbachuk |

ISBN: | 9783034889025 303488902X |

OCLC Number: | 851828527 |

Description: | 1 online resource (ix, 222 pages). |

Contents: | 1 Some aspects of operator theory and the theory of analytic functions -- 1 On spectral functions of Hermitian operators -- 2. Representation of a simple Hermitian operator whose deficiency index is (1,1) -- 3. On the spectrum of self-adjoint extensions of a Hermitian operator whose deficiency index is (1,1) -- 4. Some aspects of the theory of analytic functions -- 2 Entire operators whose deficiency index is (1,1) -- 1. Quasiregular gauge -- 2. Principal theorem on regular points of fM(z) -- 3. u -regular points of a Hermitian operator -- 4. Functions e(z) and?M(Z) -- 5. Entire operators -- 6. R-functions and generalized resolvents of a Hermitian operator -- 7. On distribution functions of a Hermitian operator -- 8. Method of directing functionals -- 9. Operator, entire with respect to a generalized gauge -- 3 Applications of entire operator theory to some classical problems of analysis -- 1. Power moment problem -- 2. Continuation problem for positive definite functions -- 3. Unitary and spiral curves -- Appendix 1 On entire operators whose defect numbers are arbitrary -- Appendix 2 Enture operators represented by differential operators -- Appendix 3 On a difficult problem of operator theory and its relation to classical analysis -- Comments. |

Series Title: | Operator theory, advances and applications, 97. |

Responsibility: | by M.L. Gorbachuk, V.I. Gorbachuk. |

### Abstract:

This book is devoted to the theory of entire Hermitian operators, an important branch of functional analysis harmoniously combining the methods of operator theory and the theory of analytic functions.

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