A First Course on Wavelets (Studies in Advanced Mathematics)

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9780849382741: A First Course on Wavelets (Studies in Advanced Mathematics)
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Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets.

The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets.

Some of the topics treated include:

  • Several bases generated by a single function via translations and dilations
  • Multiresolution analysis, compactly supported wavelets, and spline wavelets
  • Band-limited wavelets
  • Unconditionality of wavelet bases
  • Characterizations of many of the principal objects in the theory of wavelets, such as low-pass filters and scaling functions

    The authors also present the basic philosophy that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. Material related to applications is provided, and constructions of splines wavelets are presented.

    Mathematicians, engineers, physicists, and anyone with a mathematical background will find this to be an important text for furthering their studies on wavelets.
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    1.

    Hernandez, Eugenio; Weiss, Guido
    Editorial: CRC Press (1996)
    ISBN 10: 0849382742 ISBN 13: 9780849382741
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    Descripción CRC Press, 1996. Hardcover. Estado de conservación: New. 1. Nº de ref. de la librería DADAX0849382742

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    Hernandez, Eugenio; Weiss, Guido
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    Descripción CRC Press. Hardcover. Estado de conservación: New. 0849382742 New Condition. Nº de ref. de la librería NEW6.0541589

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    Hernandez, Eugenio; Weiss, Guido
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    Descripción Boca Raton, Florida, U.S.A.: CRC Pr I Llc, 1996. Hardcover. Estado de conservación: New. Brand New. HARDCOVER. Get books within 3 business days. Nº de ref. de la librería UT-3020

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    Hernandez, Eugenio; Weiss, Guido
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    Descripción Taylor Francis Inc, United States, 1996. Hardback. Estado de conservación: New. 234 x 160 mm. Language: English . Brand New Book. Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets. The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets. Some of the topics treated include: * Several bases generated by a single function via translations and dilations * Multiresolution analysis, compactly supported wavelets, and spline wavelets * Band-limited wavelets * Unconditionality of wavelet bases * Characterizations of many of the principal objects in the theory of wavelets, such as low-pass filters and scaling functions The authors also present the basic philosophy that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. Material related to applications is provided, and constructions of splines wavelets are presented. Mathematicians, engineers, physicists, and anyone with a mathematical background will find this to be an important text for furthering their studies on wavelets. Nº de ref. de la librería AAZ9780849382741

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    Hernandez, Eugenio; Weiss, Guido
    Editorial: Taylor Francis Inc, United States (1996)
    ISBN 10: 0849382742 ISBN 13: 9780849382741
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    Descripción Taylor Francis Inc, United States, 1996. Hardback. Estado de conservación: New. 234 x 160 mm. Language: English . Brand New Book. Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets. The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets. Some of the topics treated include: * Several bases generated by a single function via translations and dilations * Multiresolution analysis, compactly supported wavelets, and spline wavelets * Band-limited wavelets * Unconditionality of wavelet bases * Characterizations of many of the principal objects in the theory of wavelets, such as low-pass filters and scaling functions The authors also present the basic philosophy that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. Material related to applications is provided, and constructions of splines wavelets are presented. Mathematicians, engineers, physicists, and anyone with a mathematical background will find this to be an important text for furthering their studies on wavelets. Nº de ref. de la librería AAZ9780849382741

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    Hernandez, Eugenio; Weiss, Guido
    Editorial: CRC Press (1996)
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    Descripción CRC Press, 1996. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110849382742

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    Hernandez, Eugenio; Weiss, Guido
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    Descripción CRC Press, 1996. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780849382741

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    Hernandez, Eugenio; Weiss, Guido
    Editorial: Taylor & Francis Inc 1996-09-12, Bosa Roca (1996)
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    Descripción Taylor & Francis Inc 1996-09-12, Bosa Roca, 1996. hardback. Estado de conservación: New. Nº de ref. de la librería 9780849382741

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    Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808493827410000000

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    Hernandez, Eugenio; Weiss, Guido
    Editorial: Taylor & Francis Inc (1996)
    ISBN 10: 0849382742 ISBN 13: 9780849382741
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    Descripción Taylor & Francis Inc, 1996. Estado de conservación: New. Offers an introduction to the basic properties of wavelets, from background math to powerful applications. This book provides elementary methods for constructing wavelets, and illustrates several classes of wavelets. It offers a description of local sine and cosine bases that have been shown to be very effective in applications. Series: Studies in Advanced Mathematics. Num Pages: 489 pages, 10 black & white tables. BIC Classification: PBK; PDE; PHDS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 156 x 242 x 27. Weight in Grams: 856. . 1996. 1st Edition. Hardcover. . . . . . Nº de ref. de la librería V9780849382741

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