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Hilbert transforms

Author: Frederick W King
Publisher: Cambridge : Cambridge University Press, 2008-2009.
Series: Encyclopedia of mathematics and its applications, v. 124-125.
Edition/Format:   Print book : EnglishView all editions and formats
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Written to suit a wide audience (including physical sciences), these two volumes will become the reference of choice on the Hilbert transform, whatever the subject background of the reader. The  Read more...

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Document Type: Book
All Authors / Contributors: Frederick W King
ISBN: 9780521887625 0521887623 9780521517201 0521517206
OCLC Number: 244653549
Description: 2 volumes : illustrations ; 24 cm.
Contents: Preface; List of symbols; List of abbreviations; Volume I: 1. Introduction; 2. Review of some background mathematics; 3. Derivation of the Hilbert transform relations; 4. Some basic properties of the Hilbert transform; 5. Relationship between the Hilbert transform and some common transforms; 6. The Hilbert transform of periodic functions; 7. Inequalities for the Hilbert transform; 8. Asymptotic behavior of the Hilbert transform; 9. Hilbert transforms of some special functions; 10. Hilbert transforms involving distributions; 11. The finite Hilbert transform; 12. Some singular integral equations; 13. Discrete Hilbert transforms; 14. Numerical evaluation of Hilbert transforms; References; Subject index; Author index.
Series Title: Encyclopedia of mathematics and its applications, v. 124-125.
Responsibility: Frederick W. King.

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"The author gives detailed and exhaustive information on almost all properties of the Hilbert transform... the selected topics are presented in an easy-to-use style." Lasha Ephremidze, Mathematical Read more...

 
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