A First Course on Wavelets (Studies in Advanced Mathematics)

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9780849382741: A First Course on Wavelets (Studies in Advanced Mathematics)

Book by Hernandez Eugenio Weiss Guido

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor:

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.
  • Contraportada:

    This unique book is an excellent introduction to the basic properties of wavelets. The fundamental construction of these functions by means of "multiresolution analyses" is presented; in particular, this method is used for introducing the spline wavelets and the compactly supported wavelets. An important feature of this book, however, is the use of the Fourier transform for studying wavelets on the real line. A simple characterization of all wavelets is presented which is most useful for the construction of new families of wavelets. This technique can also be used for obtaining characterizations of low pass filters and scaling functions. Another feature is the use of wavelets for representing those function spaces that are most often encountered in analysis: the Lebesgue spaces, Hardy spaces, and more generally, the Besov spaces, the Sobolev, and the Lipschitz spaces. Other topics, some related to applications, are also included: the Fast Fourier Transform, wavelet packets, frames, local cosine and sine bases and their discrete versions are just some examples.

    "Sobre este título" puede pertenecer a otra edición de este libro.

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    1.

    Hernandez, Eugenio;Weiss, Guido L.;Weiss, Guido
    Editorial: Boca Raton, Florida, U.S.A.: CRC Pr I Llc (1996)
    ISBN 10: 0849382742 ISBN 13: 9780849382741
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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 CRC Press, 1996. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0849382742

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    Editorial: Taylor Francis Inc, United States (1996)
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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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    Eugenio Hernandez, Guido Weiss
    Editorial: Taylor Francis Inc, United States (1996)
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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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    Eugenio Hernandez, Guido Weiss
    Editorial: CRC Press (1996)
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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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    Eugenio Hernandez
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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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    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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    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 CRC Press. Hardcover. Estado de conservación: New. 0849382742 New Condition. Nº de ref. de la librería NEW6.0541589

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