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Perspectives on general left-definite theory (Q2066109)

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Language	Label	Description	Also known as
English	Perspectives on general left-definite theory	scientific article

Statements

scholarly article

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Perspectives on general left-definite theory (English)

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publication date

13 January 2022

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full work available at URL

https://arxiv.org/abs/2012.01014

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zbMATH Keywords

Sturm-Liouville operators

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Birman-Krein-Vishik theory

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left-definite theory

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self-adjoint extensions

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finite rank perturbations

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spectral theory

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Maximal sectorial extensions and closed forms associated with them

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Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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Boundary Value Problems, Weyl Functions, and Differential Operators

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Quasi boundary triples and semi-bounded self-adjoint extensions

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Some representation theorems for sesquilinear forms

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Left-definite theory with applications to orthogonal polynomials

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A Kato's second type representation theorem for solvable sesquilinear forms

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Hilbert scales and Sobolev spaces defined by associated Legendre functions

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High order singular rank one perturbations of a positive operator

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Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression

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Boundary conditions associated with the general left-definite theory for differential operators

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Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator

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Properties and decompositions of domains for powers of the Jacobi differential operator

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Spectral analysis, model theory and applications of finite-rank perturbations

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Perturbation theory for linear operators.

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SCALES OF BANACH SPACES

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\({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula

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Matrix measures and finite rank perturbations of self-adjoint operators

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Singular Integrals, Rank One Perturbations and Clark Model in General Situation

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A general left-definite theory for certain self-adjoint operators with applications to differential equations

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On the spectra of left-definite operators

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Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator

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The Friedrichs extension of singular differential operators

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-75425-9_6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2066109

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