Harmonic Analysis and Applications In Honor of John J. Benedetto /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Heil, Christopher (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston, 2006.
• Σειρά: Applied and Numerical Harmonic Analysis
• Θέματα: Mathematics.; Harmonic analysis.; Approximation theory.; Fourier analysis.; Functional analysis.; Operator theory.; Abstract Harmonic Analysis.; Fourier Analysis.; Functional Analysis.; Operator Theory.; Approximations and Expansions.

John 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, incl...

Πίνακας περιεχομένων:

• Harmonic 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.