Linear spectral transformations and Laurent polynomials

Luis Garza; Francisco Marcellán

doi:10.1007/s00009-009-0008-5

Linear spectral transformations and Laurent polynomials

Luis Garza, Francisco Marcellán^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out.

Original language	English
Pages (from-to)	273-289
Number of pages	17
Journal	Mediterranean Journal of Mathematics
Volume	6
Issue number	3
DOIs	https://doi.org/10.1007/s00009-009-0008-5
Publication status	Published - Oct 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s00009-009-0008-5

Cite this

@article{96e44241dece4cbcb982e6b670fbd60e,

title = "Linear spectral transformations and Laurent polynomials",

abstract = "In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out.",

author = "Luis Garza and Francisco Marcell{\'a}n",

year = "2009",

month = oct,

doi = "10.1007/s00009-009-0008-5",

language = "English",

volume = "6",

pages = "273--289",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Birkhauser Verlag Basel",

number = "3",

}

TY - JOUR

T1 - Linear spectral transformations and Laurent polynomials

AU - Garza, Luis

AU - Marcellán, Francisco

PY - 2009/10

Y1 - 2009/10

N2 - In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out.

AB - In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out.

UR - http://www.scopus.com/inward/record.url?scp=70449089881&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449089881&partnerID=8YFLogxK

U2 - 10.1007/s00009-009-0008-5

DO - 10.1007/s00009-009-0008-5

M3 - Article

AN - SCOPUS:70449089881

SN - 1660-5446

VL - 6

SP - 273

EP - 289

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

ER -

Linear spectral transformations and Laurent polynomials

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this