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1

Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups

Gröchenig, Karlheinz, Rottensteiner, David

Journal:

Journal of Functional Analysis

Year:

2018

Language:

english

File:

PDF, 561 KB

english, 2018

2

Gabor frames and totally positive functions

Gröchenig, Karlheinz, Stöckler, Joachim

Journal:

Duke Mathematical Journal

Year:

2013

Language:

english

File:

PDF, 299 KB

english, 2013

3

Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions

Gröchenig, Karlheinz, Romero, José Luis, Stöckler, Joachim

Journal:

Inventiones mathematicae

Year:

2017

Language:

english

File:

PDF, 545 KB

english, 2017

4

Irregular sampling of wavelet and short-time Fourier transforms

Karlheinz Gröchenig

Journal:

Constructive Approximation

Year:

1993

Language:

english

File:

PDF, 589 KB

english, 1993

5

Modulation spaces and pseudodifferential operators

Karlheinz Gröchenig, Christopher Heil

Journal:

Integral Equations and Operator Theory

Year:

1999

Language:

english

File:

PDF, 767 KB

english, 1999

6

Time–Frequency analysis of localization operators

Elena Cordero, Karlheinz Gröchenig

Journal:

Journal of Functional Analysis

Year:

2003

Language:

english

File:

PDF, 289 KB

english, 2003

7

Self-Similar Lattice Tilings

Karlheinz Grochenig, Andrew Haas

Journal:

Journal of Fourier Analysis and Applications

Year:

1994

Language:

english

File:

PDF, 476 KB

english, 1994

8

10.1090/S0894-0347-03-00444-2

Gröchenig, Karlheinz, Leinert, Michael

Journal:

Journal of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 315 KB

english, 2004

9

The Mystery of Gabor Frames

Gröchenig, Karlheinz

Journal:

Journal of Fourier Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 585 KB

english, 2014

10

Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class

Cordero, Elena, Gröchenig, Karlheinz, Nicola, Fabio, Rodino, Luigi

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 284 KB

english, 2014

11

Wiener's Lemma for Twisted Convolution and Gabor Frames

Karlheinz Gröchenig and Michael Leinert

Journal:

Journal of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 1.83 MB

english, 2004

12

Self-Affine Tilings with Several Tiles, I

Karlheinz Gröchenig, Andrew Haas, Albert Raugi

Journal:

Applied and Computational Harmonic Analysis

Year:

1999

Language:

english

File:

PDF, 357 KB

english, 1999

13

Direct and Inverse Approximation Theorems for Local Trigonometric Bases

Kai Bittner, Karlheinz Gröchenig

Journal:

Journal of Approximation Theory

Year:

2002

Language:

english

File:

PDF, 259 KB

english, 2002

14

A class of Fourier multipliers for modulation spaces

Árpád Bényi, Loukas Grafakos, Karlheinz Gröchenig, Kasso Okoudjou

Journal:

Applied and Computational Harmonic Analysis

Year:

2005

Language:

english

File:

PDF, 120 KB

english, 2005

15

Pseudospectral Fourier reconstruction with the modified Inverse Polynomial Reconstruction Method

Tomasz Hrycak, Karlheinz Gröchenig

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 524 KB

english, 2010

16

Unimodular Fourier multipliers for modulation spaces

Árpád Bényi, Karlheinz Gröchenig, Kasso A. Okoudjou, Luke G. Rogers

Journal:

Journal of Functional Analysis

Year:

2007

Language:

english

File:

PDF, 211 KB

english, 2007

17

Time-frequency partitions and characterizations of modulation spaces with localization operators

Monika Dörfler, Karlheinz Gröchenig

Journal:

Journal of Functional Analysis

Year:

2011

Language:

english

File:

PDF, 215 KB

english, 2011

18

Describing functions: Atomic decompositions versus frames

Karlheinz Gröchenig

Journal:

Monatshefte für Mathematik

Year:

1991

Language:

english

File:

PDF, 1.82 MB

english, 1991

19

Generalized Anti-Wick Operators with Symbols in Distributional Sobolev spaces

Paolo Boggiatto, Elena Cordero, Karlheinz Gröchenig

Journal:

Integral Equations and Operator Theory

Year:

2004

Language:

english

File:

PDF, 234 KB

english, 2004

20

Convolution-Dominated Operators on Discrete Groups

Gero Fendler, Karlheinz Gröchenig, Michael Leinert

Journal:

Integral Equations and Operator Theory

Year:

2008

Language:

english

File:

PDF, 232 KB

english, 2008

21

Convergence Analysis of the Finite Section Method and Banach Algebras of Matrices

Karlheinz Gröchenig, Ziemowit Rzeszotnik, Thomas Strohmer

Journal:

Integral Equations and Operator Theory

Year:

2010

Language:

english

File:

PDF, 286 KB

english, 2010

22

Localization of Frames, Banach Frames, and the Invertibility of the Frame Operator

Karlheinz Gröchenig

Journal:

Journal of Fourier Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 222 KB

english, 2004

23

Gabor (super)frames with Hermite functions

Karlheinz Gröchenig, Yurii Lyubarskii

Journal:

Mathematische Annalen

Year:

2009

Language:

english

File:

PDF, 270 KB

english, 2009

24

Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces

Gröchenig, Karlheinz, Schwab, Harald

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2003

Language:

english

File:

PDF, 339 KB

english, 2003

25

Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class

Gröchenig, Karlheinz, Strohmer, Thomas

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2007

Language:

english

File:

PDF, 265 KB

english, 2007

26

Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces

Akram Aldroubi and Karlheinz Gröchenig

Journal:

Year:

2001

Language:

english

File:

PDF, 3.04 MB

english, 2001

27

10.1090/S0002-9947-06-03841-4

Gröchenig, Karlheinz, Leinert, Michael

Journal:

Transactions of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 296 KB

english, 2006

28

Deformation of Gabor systems

Gröchenig, Karlheinz, Ortega-Cerdà, Joaquim, Romero, José Luis

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 675 KB

english, 2015

29

Time–Frequency Localization Operators and a Berezin Transform

Bayer, Dominik, Gröchenig, Karlheinz

Journal:

Integral Equations and Operator Theory

Year:

2015

Language:

english

File:

PDF, 342 KB

english, 2015

30

Symmetry and Inverse-Closedness of Matrix Algebras and Functional Calculus for Infinite Matrices

Karlheinz Gröchenig and Michael Leinert

Journal:

Transactions of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 1.31 MB

english, 2006

31

The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces

Gröchenig, Karlheinz, Toft, Joachim

Journal:

Transactions of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 327 KB

english, 2013

32

Reconstruction Algorithms in Irregular Sampling

Karlheinz Grochenig

Journal:

Mathematics of Computation

Year:

1992

Language:

english

File:

PDF, 1.21 MB

english, 1992

33

On accumulated spectrograms

Abreu, Luís Daniel, Gröchenig, Karlheinz, Romero, José Luis

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 441 KB

english, 2015

34

What Is Variable Bandwidth?

Gröchenig, Karlheinz, Klotz, Andreas

Journal:

Communications on Pure and Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 337 KB

english, 2017

35

Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames

Gröchenig, Karlheinz, Lyubarskii, Yurii

Journal:

Complex Variables and Elliptic Equations

Year:

2019

Language:

english

File:

PDF, 1.64 MB

english, 2019

36

Orthogonality Criteria for Compactly Supported Scaling Functions

Karlheinz Gröchenig

Journal:

Applied and Computational Harmonic Analysis

Year:

1994

File:

PDF, 196 KB

1994

37

Irregular sampling theorems and series expansions of band-limited functions

Hans G Feichtinger, Karlheinz Gröchenig

Journal:

Journal of Mathematical Analysis and Applications

Year:

1992

Language:

english

File:

PDF, 1.35 MB

english, 1992

38

A discrete theory of irregular sampling

Karlheinz Gröchenig

Journal:

Linear Algebra and its Applications

Year:

1993

Language:

english

File:

PDF, 1.02 MB

english, 1993

39

Localization of frames II

Elena Cordero, Karlheinz Gröchenig

Journal:

Applied and Computational Harmonic Analysis

Year:

2004

Language:

english

File:

PDF, 274 KB

english, 2004

40

Multivariate Gabor frames and sampling of entire functions of several variables

Karlheinz Gröchenig

Journal:

Applied and Computational Harmonic Analysis

Year:

2011

Language:

english

File:

PDF, 192 KB

english, 2011

41

Gabor frames with Hermite functions

Karlheinz Gröchenig, Yurii Lyubarskii

Journal:

Comptes Rendus Mathematique

Year:

2007

Language:

french

File:

PDF, 151 KB

french, 2007

42

Optimal adaptive computations in the Jaffard algebra and localized frames

Stephan Dahlke, Massimo Fornasier, Karlheinz Gröchenig

Journal:

Journal of Approximation Theory

Year:

2010

Language:

english

File:

PDF, 1.18 MB

english, 2010

43

Landau's necessary density conditions for LCA groups

Karlheinz Gröchenig, Gitta Kutyniok, Kristian Seip

Journal:

Journal of Functional Analysis

Year:

2008

Language:

english

File:

PDF, 205 KB

english, 2008

44

Uncertainty principles as embeddings of modulation spaces

Yevgeniy V. Galperin, Karlheinz Gröchenig

Journal:

Journal of Mathematical Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 186 KB

english, 2002

45

The Balian–Low theorem for symplectic lattices in higher dimensions

Karlheinz Gröchenig, Deguang Han, Christopher Heil, Gitta Kutyniok

Journal:

Applied and Computational Harmonic Analysis

Year:

2002

Language:

english

File:

PDF, 109 KB

english, 2002

46

Almost constant sequences and well-distribution in compact groups

Karlheinz Gröchenig

Journal:

Monatshefte für Mathematik

Year:

1985

Language:

english

File:

PDF, 495 KB

english, 1985

47

Nonperiodic sampling and the local three squares theorem

Karlheinz Gröchenig, Christopher Heil, David Walnut

Journal:

Arkiv för Matematik

Year:

2000

Language:

english

File:

PDF, 623 KB

english, 2000

48

Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces

Akram Aldroubi, Karlheinz Gröchenig

Journal:

Journal of Fourier Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 606 KB

english, 2000

49

Composition and spectral invariance of pseudodifferential Operators on Modulation Spaces

Karlheinz Gröchenig

Journal:

Journal d'Analyse Mathématique

Year:

2006

Language:

english

File:

PDF, 1.12 MB

english, 2006

50

Letter to the Editor: A New Criterion for Gabor Frames

Karlheinz Gröchenig, A.J.E.M. Janssen

Journal:

Journal of Fourier Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 54 KB

english, 2002