Introduction to Hilbert spaces with applications

書誌事項

Introduction to Hilbert spaces with applications

Lokenath Debnath, Piotr Mikusiński

Academic Press, c1999

2nd ed

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注記

Bibliography: p. 531-535

Includes index

内容説明・目次

内容説明

Continuing on the success of the previous edition, Introduction to Hilbert Spaces with Applications, Second Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesque integral, and includes an enhanced presentation of results and proofs. Students and researchers benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a new, well-researched chapter on wavelets. Students and researchers agree that this is the definitive text on Hilbert Space theory.

目次

Normed Vector Spaces The Lebesgue Integral Hilbert Spaces and Orthonormal Systems Linear Operators on Hilbert Spaces Applications: Applications to Integral and Differential Equations Generalized Functions and Partial Differential Equations Mathematical Foundations of Quantum Mechanics Wavelets Optimization Problems and Other Miscellaneous Applications

「Nielsen BookData」 より

詳細情報

  • NII書誌ID(NCID)
    BA38314570
  • ISBN
    • 0122084365
  • LCCN
    98017953
  • 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
    San Diego ; Tokyo
  • ページ数/冊数
    xviii, 551 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
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