000 04266nam a22005055i 4500
001 978-0-8176-4504-5
003 DE-He213
005 20251006084435.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780817645045
020 _a99780817645045
024 7 _a10.1007/0-8176-4504-7
_2doi
082 0 4 _a515.785
_223
100 1 _aHeil, Christopher.
_eeditor.
245 1 0 _aHarmonic Analysis and Applications
_h[electronic resource] :
_bIn Honor of John J. Benedetto /
_cedited by Christopher Heil.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2006.
300 _aXXVIII, 374p. 13 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 _aHarmonic Analysis -- The Gibbs Phenomenon in Higher Dimensions -- Weighted Sobolev Inequalities for Gradients -- Semidiscrete Multipliers -- Frame Theory -- A Physical Interpretation of Tight Frames -- Time-Frequency Analysis -- Recent Developments in the Balian-Low Theorem -- Some Problems Related to the Distributional Zak Transform -- Gabor Duality Characterizations -- A Pedestrian's Approach to Pseudodifferential Operators -- Linear Independence of Finite Gabor Systems -- Wavelet Theory -- Explicit Cross-Sections of Singly Generated Group Actions -- The Theory of Wavelets with Composite Dilations -- Sampling Theory and Shift-Invariant Spaces -- Periodic Nonuniform Sampling in Shift-Invariant Spaces -- Sampling on Unions of Shifted Lattices in One Dimension -- Learning the Right Model from the Data -- Redundancy in the Frequency Domain -- Density Results for Frames of Exponentials.
520 _aJohn J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. This self-contained volume in honor of John covers a wide range of topics in harmonic analysis and related areas, including weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The invited chapters pay tribute to John's many achievements and express an appreciation for both the mathematical and personal inspiration he has given to so many students, coauthors, and colleagues. Although the scope of the book is broad, chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected here are written by prominent, well-respected researchers and professionals in the field of harmonic analysis. The book is divided into the following five sections: * Classical harmonic analysis * Frame theory * Time-frequency analysis * Wavelet theory * Sampling theory and shift-invariant spaces Harmonic Analysis and Applications is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics. Contributors: A. Aldroubi, L. Baggett, G. Benke, C. Cabrelli, P.G. Casazza, O. Christensen, W. Czaja, M. Fickus, J.-P. Gabardo, K. Gröchenig, K. Guo, E. Hayashi, C. Heil, H.P. Heinig, J.A. Hogan, E. Kovacevic, D. Labate, J.D. Lakey, D. Larson, M.T. Leon, S. Li, W.-Q Lim, A. Lindner, U. Molter, A.M. Powell, B. Rom, E. Schulz, T. Sorrells, D. Speegle, K.F. Taylor, J.C. Tremain, D. Walnut, G. Weiss, E. Wilson, G. Zimmermann
650 0 _aMATHEMATICS.
650 0 _aHARMONIC ANALYSIS.
650 0 _aFOURIER ANALYSIS.
650 0 _aFUNCTIONAL ANALYSIS.
650 0 _aOPERATOR THEORY.
650 1 4 _aMATHEMATICS.
650 2 4 _aABSTRACT HARMONIC ANALYSIS.
650 2 4 _aFOURIER ANALYSIS.
650 2 4 _aFUNCTIONAL ANALYSIS.
650 2 4 _aOPERATOR THEORY.
650 2 4 _aAPPROXIMATIONS AND EXPANSIONS.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817637781
830 0 _aApplied and Numerical Harmonic Analysis
856 4 0 _uhttp://dx.doi.org/10.1007/0-8176-4504-7
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59675
_d59675