000			04583nam a22006015i 4500
001			978-0-8176-4683-7
003			DE-He213
005			20161121231211.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817646837 _9978-0-8176-4683-7
024	7		_a10.1007/978-0-8176-4683-7 _2doi
050		4	_aTA342-343
072		7	_aPBWH _2bicssc
072		7	_aTBJ _2bicssc
072		7	_aMAT003000 _2bisacsh
072		7	_aTEC009060 _2bisacsh
082	0	4	_a003.3 _223
245	1	0	_aRepresentations, Wavelets, and Frames _h[electronic resource] : _bA Celebration of the Mathematical Work of Lawrence W. Baggett / _cedited by Palle E. T. Jorgensen, Kathy D. Merrill, Judith A. Packer.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2008.
300			_aXL, 324 p. 22 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied and Numerical Harmonic Analysis
505	0		_aClassical and Abstract Harmonic Analysis -- Some Riemann Sums Are Better Than Others -- Gelfand Pairs Associated with Finite Heisenberg Groups -- Groups with Atomic Regular Representation -- Wavelet Transforms and Admissible Group Representations -- Frames and Multiresolution Structures -- The Density Theorem and the Homogeneous Approximation Property for Gabor Frames -- Recent Developments on Dual Wavelet Frames -- Characteristic Wavelet Equations and Generalizations of the Spectral Function -- Baggett’s Problem for Frame Wavelets -- Wavelet Sets -- Simple Wavelet Sets for Scalar Dilations in ?2 -- Interpolation Maps and Congruence Domains for Wavelet Sets -- Applications to Dynamical Systems and C*-Algebras -- Orthogonal Exponentials for Bernoulli Iterated Function Systems -- A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Corresponding to the Quincunx Lattice -- Signal and Image Processing -- Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals -- Entropy Encoding in Wavelet Image Compression.
520			_aMotivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers. The book is organized into five sections that move from the theoretical underpinnings of the subject, through geometric connections to tilings, lattices and fractals, and concludes with analyses of computational schemes used in communications engineering. Within each section, individual chapters present new research, provide relevant background material, and point to new trends and open questions. Contributors: C. Benson, M. Bownik, V. Furst, V.W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang.
650		0	_aMathematics.
650		0	_aHarmonic analysis.
650		0	_aFourier analysis.
650		0	_aFunctional analysis.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aMathematical models.
650	1	4	_aMathematics.
650	2	4	_aMathematical Modeling and Industrial Mathematics.
650	2	4	_aFourier Analysis.
650	2	4	_aSignal, Image and Speech Processing.
650	2	4	_aAbstract Harmonic Analysis.
650	2	4	_aApplications of Mathematics.
650	2	4	_aFunctional Analysis.
700	1		_aJorgensen, Palle E. T. _eeditor.
700	1		_aMerrill, Kathy D. _eeditor.
700	1		_aPacker, Judith A. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817646820
830		0	_aApplied and Numerical Harmonic Analysis
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4683-7
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c510037 _d510037