WorldCat Identities

Gröchenig, Karlheinz

Overview
Works: 12 works in 39 publications in 1 language and 683 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor
Classifications: TK5102.9, 621.3822
Publication Timeline
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Most widely held works by Karlheinz Gröchenig
Foundations of time-frequency analysis : with 15 figures by Karlheinz Gröchenig( Book )

17 editions published between 2001 and 2014 in English and held by 354 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."
Operator-related function theory and time-frequency analysis : the Abel Symposium 2012 by Karlheinz Gröchenig( Book )

10 editions published between 2015 and 2016 in English and held by 13 WorldCat member libraries worldwide

This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them. Among the original contributions and overview lectures gathered here are a paper presenting multifractal analysis as a bridge between geometric measure theory and signal processing; local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functions; ℗ℓBernstein's problem on weighted polynomial approximation; singular distributions and symmetry of the spectrum; and many others. Offering a selection of the latest and most exciting results obtained by world-leading researchers, the book will benefit scientists working in Harmonic and Complex Analysis, Mathematical Physics and Signal Processing
Implementation of discretized Gabor frames and their duals by Tobias Kloos( Book )

1 edition published in 2015 in English and held by 4 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

A new approach to interpolating scaling functions by Stephan Dahlke( Book )

2 editions published in 1998 in English and held by 3 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

Note on B-splines, wavelet scaling functions, and Gabor frames( )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Let g be a continuous, compactly supported function on R such that the integer translates of g constitute a partition of unity. We show that the Gabor system (g, a, b), with window g and time-shift and frequency-shift parameters a, b > 0 has no lower frame bound larger than 0 if b = 2, 3,0... and a > 0. In particular, (g, a, b) is not a Gabor frame if g is a continuous, compactly supported wavelet scaling function and if b = 2, 3,... and a > 0. We give an example for our result for the case that g = B <sub>1</sub>, the triangle function supported by [ - 1, 1], by showing pictures of the canonical dual corresponding to (g, a, b) where ab = 1/4 and b crosses the lines N = 2, 3
Letter to the editor: A new criterion for Gabor frames( )

1 edition published in 2002 in English and held by 1 WorldCat member library worldwide

We give a new criterion for the invertibility of the Gabor frame operator in the irrational case. It is sufficient to verify the invertibility of a single (infinite) matrix
Localization of frames by Elena Cordero( Book )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Compactness criteria in function spaces by M Dörfler( )

1 edition published in 2002 in English and held by 1 WorldCat member library worldwide

Four Short Courses on Harmonic Analysis( )

1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide

Multivariate Wavelet Representations and Approximations( )

1 edition published in 1994 in English and held by 0 WorldCat member libraries 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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Foundations of time-frequency analysis : with 15 figures
Alternative Names
Gröchenig, K.

Gröchenig, Karlheinz

Karlheinz Gröchenig austerriksk matematikar

Karlheinz Gröchenig Austrian mathematician

Karlheinz Gröchenig matemático austríaco

Karlheinz Gröchenig österreichischer Mathematiker

Karlheinz Gröchenig österrikisk matematiker

Karlheinz Gröchenig østerriksk matematiker

Karlheinz Gröchenig østrigsk matematiker

Karlheinz Gröchenig wiskundige uit Oostenrijk

Languages
English (39)

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