Feichtinger, Hans G. 1951
Overview
Works:  25 works in 82 publications in 2 languages and 1,624 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Creator, Other 
Classifications:  ML3800, 780.051 
Publication Timeline
.
Most widely held works by
Hans G Feichtinger
Mathematics and music : a Diderot Mathematical Forum by
Gérard Assayag(
Book
)
13 editions published between 2002 and 2011 in English and Italian and held by 415 WorldCat member libraries worldwide
"In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music."Publisher's description
13 editions published between 2002 and 2011 in English and Italian and held by 415 WorldCat member libraries worldwide
"In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music."Publisher's description
Gabor analysis and algorithms : theory and applications by
Hans G Feichtinger(
Book
)
12 editions published in 1998 in English and held by 222 WorldCat member libraries worldwide
In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obtained from one Gaussian by timeand frequency shifts. Each of these is well concentrated in time and frequency; together they are meant to constitute a complete collection of building blocks into which more complicated timedepending functions can be decomposed. The application to communication proposed by Gabor was to send the coeffi cients of the decomposition into this family of a signal, rather than the signal itself. This remained a proposalas far as I know there were no seri ous attempts to implement it for communication purposes in practice, and in fact, at the critical timefrequency density proposed originally, there is a mathematical obstruction; as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] ...) but it does not constitute what we now call a frame, leading to numerical insta bilities. The BalianLow theorem (about which the reader can find more in some of the contributions in this book) and its extensions showed that a similar mishap occurs if the Gaussian is replaced by any other function that is "reasonably" smooth and localized. One is thus led naturally to considering a higher timefrequency density
12 editions published in 1998 in English and held by 222 WorldCat member libraries worldwide
In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obtained from one Gaussian by timeand frequency shifts. Each of these is well concentrated in time and frequency; together they are meant to constitute a complete collection of building blocks into which more complicated timedepending functions can be decomposed. The application to communication proposed by Gabor was to send the coeffi cients of the decomposition into this family of a signal, rather than the signal itself. This remained a proposalas far as I know there were no seri ous attempts to implement it for communication purposes in practice, and in fact, at the critical timefrequency density proposed originally, there is a mathematical obstruction; as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] ...) but it does not constitute what we now call a frame, leading to numerical insta bilities. The BalianLow theorem (about which the reader can find more in some of the contributions in this book) and its extensions showed that a similar mishap occurs if the Gaussian is replaced by any other function that is "reasonably" smooth and localized. One is thus led naturally to considering a higher timefrequency density
Pseudodifferential operators : quantization and signals : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy,
June 1924, 2006 by
Hans G Feichtinger(
Book
)
19 editions published in 2008 in English and held by 220 WorldCat member libraries worldwide
Pseudodifferential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudodifferential operators, Weyl transforms, Daubechies operators, Wick quantization and timefrequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted
19 editions published in 2008 in English and held by 220 WorldCat member libraries worldwide
Pseudodifferential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudodifferential operators, Weyl transforms, Daubechies operators, Wick quantization and timefrequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted
Advances in Gabor analysis by
John Benedetto(
Book
)
12 editions published between 2002 and 2003 in English and Undetermined and held by 161 WorldCat member libraries worldwide
This text provides an overview of recent developments in Gabor analysis. Scientists in various disciplines related to the subject treat a range of topics from covering theory to numerics, as well as applications of Gabor analysis
12 editions published between 2002 and 2003 in English and Undetermined and held by 161 WorldCat member libraries worldwide
This text provides an overview of recent developments in Gabor analysis. Scientists in various disciplines related to the subject treat a range of topics from covering theory to numerics, as well as applications of Gabor analysis
Diderot Forum on Mathematics and Music : computational and mathematical methods in music : Vienna, Austria, December 24,
1999 (EMS, ÖMG, Mathematischer Zirkel der Univ. Wien) by Diderot Mathematical Forum(
Book
)
3 editions published between 1999 and 2001 in English and held by 18 WorldCat member libraries worldwide
3 editions published between 1999 and 2001 in English and held by 18 WorldCat member libraries worldwide
Gabor Analysis and Algorithms Theory and Applications by
Hans G Feichtinger(
)
1 edition published in 1998 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 7 WorldCat member libraries worldwide
Minimal Banach spaces and atomic representations by
Hans G Feichtinger(
Book
)
2 editions published between 1983 and 1985 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1983 and 1985 in English and held by 2 WorldCat member libraries worldwide
A grouptheoretical approach to Gabor analysis by
Hans G Feichtinger(
Book
)
3 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide
Weighted versions of Beurling's Tauberian theorem by
Hans G Feichtinger(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Banach spaces of distributions defined by decomposition methods by
Hans G Feichtinger(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
Mathematics and music : a Diderot Mathematical Forum by Diderot Mathematical Forum(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Modulation spaces on locally compact Abelian groups by
Hans G Feichtinger(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
Discrete gabor structures and optimal representation by Sigang Qiu(
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Local nonfactorization of functions on locally compact groups by
Hans G Feichtinger(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Gabor wavelets and the Heisenberg group : Gabor expansion and short time Fourier transform from the group theoretical point
of view by
Hans G Feichtinger(
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
An elementary approach to Wiener's third Tauberian theorem for the Euclidean nspace by
Hans G Feichtinger(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
Mathematics and music a Diderot mathematical forum(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Discretization of convolution and reconstruction of bandlimited functions from irregular sampling by
Hans G Feichtinger(
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Wiener amalgam spaces for the fundamental identity of Gabor analysis(
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Advances in Gabor Analysis by
Hans G Feichtinger(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Unified, selfcontained volume providing insight into the richness of Gabor analysis and its potential for development in applied mathematics and engineering. Mathematicians and engineers treat a range of topics, and cover theory and applications to areas such as digital and wireless communications. The work demonstrates interactions and connections among areas in which Gabor analysis plays a role: harmonic analysis, operator theory, quantum physics, numerical analysis, signal/image processing. For graduate students, professionals, and researchers in pure and applied mathematics, math physics, and engineering
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Unified, selfcontained volume providing insight into the richness of Gabor analysis and its potential for development in applied mathematics and engineering. Mathematicians and engineers treat a range of topics, and cover theory and applications to areas such as digital and wireless communications. The work demonstrates interactions and connections among areas in which Gabor analysis plays a role: harmonic analysis, operator theory, quantum physics, numerical analysis, signal/image processing. For graduate students, professionals, and researchers in pure and applied mathematics, math physics, and engineering
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Related Identities
 Wong, M. W. (Man Wah) 1951 Editor
 Rodino, L. (Luigi) Editor
 Strohmer, Thomas 1965 Other Editor
 Assayag, Gérard Author Editor
 Rodrigues, JoséFrancisco Editor
 European Mathematical Society Other
 SpringerLink (Online service)
 Toft, Joachim
 Lerner, Nicolas
 Lamoureux, Michael P.
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Associated Subjects
Algorithms Approximation theory Computer scienceMathematics Differential equations, Partial Engineering Engineering mathematics Fourier analysis Functional analysis Gabor transforms Global analysis (Mathematics) Image processing Image processingDigital techniquesMathematics Mathematics MusicMathematics Numerical analysis Operator theory Pseudodifferential operators Quantum theory Signal processing Signal processingDigital techniquesMathematics Signal processingMathematics Timeseries analysis
Alternative Names
Fechtinger.
Feichtinger, H. G.
Feichtinger, Hans G. 1951...
Feichtinger, Hans Georg.
Feichtinger, Hans Georg 1951
Hans Georg Feichtinger mathematician
Hans Georg Feichtinger mathématicien autrichien
Hans Georg Feichtinger Oostenrijks wiskundige
Hans Georg Feichtinger österreichischer Mathematiker
Hans Georg Feichtinger österrikisk matematiker
Hans Georg Feichtinger østerriksk matematiker
Hans Georg Feichtinger østrigsk matematiker
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