WorldCat Identities

Gröchenig, Karlheinz

Overview
Works: 7 works in 18 publications in 1 language and 338 library holdings
Classifications: TK5102.9, 621.3822
Publication Timeline
Key
Publications about  Karlheinz Gröchenig Publications about Karlheinz Gröchenig
Publications by  Karlheinz Gröchenig Publications by Karlheinz Gröchenig
Most widely held works by Karlheinz Gröchenig
Foundations of time-frequency analysis : with 15 figures by Karlheinz Gröchenig ( Book )
2 editions published in 2001 in English and held by 228 WorldCat member libraries worldwide
"Time-frequency analysis is a source of ideas and applications in modern harmonic analysis. The history of time-frequency analysis dates back to von Neumann, Wigner, and Gabor, who considered the problems in quantum mechanics and in information theory. For many years time-frequency analysis has been pursued mainly in engineering, but recently - with the development of wavelet theory - it has emerged as a thriving field of applied mathematics." "This book presents the first systematic introduction to time-frequency analysis understood as a central area of applied harmonic analysis, while at the same time honoring its interdisciplinary origins. Important principles are (a) classical Fourier analysis as a tool that is central in modern mathematics, (b) the mathematical structures based on the operations of translation and modulations (i.e., the Heisenberg group), (c) the many forms of the uncertainty principle, and (d) the omnipresence of Gaussian functions, both in the methodology of proofs and in important statements."--BOOK JACKET
Foundations of time-frequency analysis by Karlheinz Gröchenig ( Book )
10 editions published between 2000 and 2009 in English and held by 94 WorldCat member libraries worldwide
"This book presents the first systematic introduction to time-frequency analysis understood as a central area of applied harmonic analysis, while at the same time honoring its interdisciplinary origins. Important principles are (a) classical Fourier analysis as a tool that is central in modern mathematics, (b) the mathematical structures based on the operations of translation and modulations (i.e., the Heisenberg group), (c) the many forms of the uncertainty principle, and (d) the omnipresence of Gaussian functions, both in the methodology of proofs and in important statements."--BOOK JACKET
Foundation of time-frequency analysis by Karlheinz Gröchenig ( Book )
1 edition published in 2000 in English and held by 7 WorldCat member libraries worldwide
Optimal adaptive computations in the Jaffard algebra and localized frames by Stephan Dahlke ( Book )
2 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
Biorthogonal box spline wavelet bases by Stephan Dahlke ( Book )
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
A new approach to interpolating scaling functions by Stephan Dahlke ( Book )
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Multivariate Wavelet Representations and Approximations ( )
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
The following work has been completed: The recovery of irregularly samples band-limited functions via tempered splines. Band limited functions can be recovered from their values on certain irregularly distributed discrete sampling sets as the limits of the piecewise polynomial spline interpolants when the order of the splines goes to infinity. This significant extension of the classical case when the sampling set is a lattice which was considered by L. Collatz, W. Quade, I.J. Schoenberg, and others. Orthogonality criteria for compactly supported scaling functions. The question of whether the integer translates of the scaling function constructed from a prescribed scaling sequency in the standard way are mutually orthogonal is quite subtle. The various conditions and the supporting arguments which are currently in the literature are very complicated
 
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Audience Level
1
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Audience level: 0.74 (from 0.00 for Multivaria ... to 0.79 for Foundation ...)
Alternative Names
Gröchenig, Karlheinz
Languages
English (18)
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