Domains of exponentiated fractional Jacobi operators : characterizations, classifications, expansion results

J. Graaf, de; S.J.L. Eijndhoven, van

doi:10.1007/BF01889610

Domains of exponentiated fractional Jacobi operators : characterizations, classifications, expansion results

J. Graaf, de, S.J.L. Eijndhoven, van

Center for Analysis, Scientific Computing and Applications

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Abstract

The main topic of this paper is the study of bases of Jacobi polynomials in topological vector spaces of entire functions of slow growth. These topological vector spaces are weightedL 2-spaces and inductive-projective limits of these. One of the side results is a characterization of the analyticity and entireness domains of general fractional Jacobi operators.

Original language	English
Pages (from-to)	271-296
Number of pages	26
Journal	Constructive Approximation
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/BF01889610
Publication status	Published - 1989

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title = "Domains of exponentiated fractional Jacobi operators : characterizations, classifications, expansion results",

abstract = "The main topic of this paper is the study of bases of Jacobi polynomials in topological vector spaces of entire functions of slow growth. These topological vector spaces are weightedL 2-spaces and inductive-projective limits of these. One of the side results is a characterization of the analyticity and entireness domains of general fractional Jacobi operators.",

author = "{Graaf, de}, J. and {Eijndhoven, van}, S.J.L.",

year = "1989",

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language = "English",

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pages = "271--296",

journal = "Constructive Approximation",

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T1 - Domains of exponentiated fractional Jacobi operators : characterizations, classifications, expansion results

AU - Graaf, de, J.

AU - Eijndhoven, van, S.J.L.

PY - 1989

Y1 - 1989

N2 - The main topic of this paper is the study of bases of Jacobi polynomials in topological vector spaces of entire functions of slow growth. These topological vector spaces are weightedL 2-spaces and inductive-projective limits of these. One of the side results is a characterization of the analyticity and entireness domains of general fractional Jacobi operators.

AB - The main topic of this paper is the study of bases of Jacobi polynomials in topological vector spaces of entire functions of slow growth. These topological vector spaces are weightedL 2-spaces and inductive-projective limits of these. One of the side results is a characterization of the analyticity and entireness domains of general fractional Jacobi operators.

U2 - 10.1007/BF01889610

DO - 10.1007/BF01889610

M3 - Article

SN - 0176-4276

VL - 5

SP - 271

EP - 296

JO - Constructive Approximation

JF - Constructive Approximation

IS - 3

ER -

Domains of exponentiated fractional Jacobi operators : characterizations, classifications, expansion results

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