View in EDS

On the spectra of Sierpinski-type self-affine measures.

Saved in:
Bibliographic Details
Title: On the spectra of Sierpinski-type self-affine measures.
Authors: Deng, Qi-Rong1 qrdeng@fjnu.edu.cn
Source: Journal of Functional Analysis. Jun2016, Vol. 270 Issue 12, p4426-4442. 17p.
Subjects: Spectral theory, Orthonormal basis, Measure theory, Orthogonalization, Mathematical analysis
Abstract: For a class of Sierpinski-type self-affine measures on R 2 , a characterization for all maximal orthogonal sets of exponentials is given. By this characterization, a sufficient condition for a maximal orthogonal set to be a basis of L 2 ( μ ) is given. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 114901180
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: On the spectra of Sierpinski-type self-affine measures.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Deng%2C+Qi-Rong%22">Deng, Qi-Rong</searchLink><relatesTo>1</relatesTo><i> qrdeng@fjnu.edu.cn</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Functional+Analysis%22">Journal of Functional Analysis</searchLink>. Jun2016, Vol. 270 Issue 12, p4426-4442. 17p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Spectral+theory%22">Spectral theory</searchLink><br /><searchLink fieldCode="DE" term="%22Orthonormal+basis%22">Orthonormal basis</searchLink><br /><searchLink fieldCode="DE" term="%22Measure+theory%22">Measure theory</searchLink><br /><searchLink fieldCode="DE" term="%22Orthogonalization%22">Orthogonalization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: For a class of Sierpinski-type self-affine measures on R 2 , a characterization for all maximal orthogonal sets of exponentials is given. By this characterization, a sufficient condition for a maximal orthogonal set to be a basis of L 2 ( μ ) is given. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=114901180
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jfa.2016.03.006
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 4426
    Subjects:
      – SubjectFull: Spectral theory
        Type: general
      – SubjectFull: Orthonormal basis
        Type: general
      – SubjectFull: Measure theory
        Type: general
      – SubjectFull: Orthogonalization
        Type: general
      – SubjectFull: Mathematical analysis
        Type: general
    Titles:
      – TitleFull: On the spectra of Sierpinski-type self-affine measures.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Deng, Qi-Rong
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 15
              M: 06
              Text: Jun2016
              Type: published
              Y: 2016
          Identifiers:
            – Type: issn-print
              Value: 00221236
          Numbering:
            – Type: volume
              Value: 270
            – Type: issue
              Value: 12
          Titles:
            – TitleFull: Journal of Functional Analysis
              Type: main
ResultId 1