Frames, bases and group representations

書誌事項

Frames, bases and group representations

Deguang Han, David R. Larson

(Memoirs of the American Mathematical Society, no. 697)

American Mathematical Society, 2000

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注記

"September 2000, volume 147, number 697 (first of 4 numbers)"

Bibliography: p. 93-94

内容説明・目次

内容説明

We develop an operator-theoretic approach to discrete frame theory on a separable Hilbert space. We then apply this to an investigation of the structural properties of systems of unitary operators on Hilbert space which are related to orthonormal wavelet theory. We also obtain applications of frame theory to group representations, and of the theory of abstract unitary systems to frames generated by Gabor type systems.

目次

Introduction Basic theory for frames Complementary frames and disjointness Frame vectors for unitary systems Gabor type unitary systems Frame wavelets, super-wavelets and frame sets Frame representations for groups Concluding remarks Bibliography.

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詳細情報

  • NII書誌ID(NCID)
    BA4799289X
  • ISBN
    • 0821820672
  • LCCN
    00034995
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Providence, R.I., USA
  • ページ数/冊数
    ix, 94 p.
  • 大きさ
    26 cm
  • 親書誌ID
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