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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

Année:

2018

Langue:

english

Fichier:

PDF, 561 KB

english, 2018

2

Irregular sampling of wavelet and short-time Fourier transforms

Karlheinz Gröchenig

Journal:

Constructive Approximation

Année:

1993

Langue:

english

Fichier:

PDF, 589 KB

english, 1993

3

Gabor frames and totally positive functions

Gröchenig, Karlheinz, Stöckler, Joachim

Journal:

Duke Mathematical Journal

Année:

2013

Langue:

english

Fichier:

PDF, 299 KB

english, 2013

4

Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces

Akram Aldroubi and Karlheinz Gröchenig

Journal:

Année:

2001

Langue:

english

Fichier:

PDF, 3.04 MB

english, 2001

5

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

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

Journal:

Inventiones mathematicae

Année:

2017

Langue:

english

Fichier:

PDF, 545 KB

english, 2017

6

Modulation spaces and pseudodifferential operators

Karlheinz Gröchenig, Christopher Heil

Journal:

Integral Equations and Operator Theory

Année:

1999

Langue:

english

Fichier:

PDF, 767 KB

english, 1999

7

Time–Frequency analysis of localization operators

Elena Cordero, Karlheinz Gröchenig

Journal:

Journal of Functional Analysis

Année:

2003

Langue:

english

Fichier:

PDF, 289 KB

english, 2003

8

Self-Similar Lattice Tilings

Karlheinz Grochenig, Andrew Haas

Journal:

Journal of Fourier Analysis and Applications

Année:

1994

Langue:

english

Fichier:

PDF, 476 KB

english, 1994

9

10.1090/S0894-0347-03-00444-2

Gröchenig, Karlheinz, Leinert, Michael

Journal:

Journal of the American Mathematical Society

Année:

2004

Langue:

english

Fichier:

PDF, 315 KB

english, 2004

10

The Mystery of Gabor Frames

Gröchenig, Karlheinz

Journal:

Journal of Fourier Analysis and Applications

Année:

2014

Langue:

english

Fichier:

PDF, 585 KB

english, 2014

11

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

Année:

2014

Langue:

english

Fichier:

PDF, 284 KB

english, 2014

12

Reconstruction Algorithms in Irregular Sampling

Karlheinz Grochenig

Journal:

Mathematics of Computation

Année:

1992

Langue:

english

Fichier:

PDF, 1.21 MB

english, 1992

13

Wiener's Lemma for Twisted Convolution and Gabor Frames

Karlheinz Gröchenig and Michael Leinert

Journal:

Journal of the American Mathematical Society

Année:

2004

Langue:

english

Fichier:

PDF, 1.83 MB

english, 2004

14

Self-Affine Tilings with Several Tiles, I

Karlheinz Gröchenig, Andrew Haas, Albert Raugi

Journal:

Applied and Computational Harmonic Analysis

Année:

1999

Langue:

english

Fichier:

PDF, 357 KB

english, 1999

15

Direct and Inverse Approximation Theorems for Local Trigonometric Bases

Kai Bittner, Karlheinz Gröchenig

Journal:

Journal of Approximation Theory

Année:

2002

Langue:

english

Fichier:

PDF, 259 KB

english, 2002

16

A class of Fourier multipliers for modulation spaces

Árpád Bényi, Loukas Grafakos, Karlheinz Gröchenig, Kasso Okoudjou

Journal:

Applied and Computational Harmonic Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 120 KB

english, 2005

17

Pseudospectral Fourier reconstruction with the modified Inverse Polynomial Reconstruction Method

Tomasz Hrycak, Karlheinz Gröchenig

Journal:

Journal of Computational Physics

Année:

2010

Langue:

english

Fichier:

PDF, 524 KB

english, 2010

18

Unimodular Fourier multipliers for modulation spaces

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

Journal:

Journal of Functional Analysis

Année:

2007

Langue:

english

Fichier:

PDF, 211 KB

english, 2007

19

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

Monika Dörfler, Karlheinz Gröchenig

Journal:

Journal of Functional Analysis

Année:

2011

Langue:

english

Fichier:

PDF, 215 KB

english, 2011

20

Describing functions: Atomic decompositions versus frames

Karlheinz Gröchenig

Journal:

Monatshefte für Mathematik

Année:

1991

Langue:

english

Fichier:

PDF, 1.82 MB

english, 1991

21

Generalized Anti-Wick Operators with Symbols in Distributional Sobolev spaces

Paolo Boggiatto, Elena Cordero, Karlheinz Gröchenig

Journal:

Integral Equations and Operator Theory

Année:

2004

Langue:

english

Fichier:

PDF, 234 KB

english, 2004

22

Convolution-Dominated Operators on Discrete Groups

Gero Fendler, Karlheinz Gröchenig, Michael Leinert

Journal:

Integral Equations and Operator Theory

Année:

2008

Langue:

english

Fichier:

PDF, 232 KB

english, 2008

23

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

Karlheinz Gröchenig, Ziemowit Rzeszotnik, Thomas Strohmer

Journal:

Integral Equations and Operator Theory

Année:

2010

Langue:

english

Fichier:

PDF, 286 KB

english, 2010

24

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

Karlheinz Gröchenig

Journal:

Journal of Fourier Analysis and Applications

Année:

2004

Langue:

english

Fichier:

PDF, 222 KB

english, 2004

25

Gabor (super)frames with Hermite functions

Karlheinz Gröchenig, Yurii Lyubarskii

Journal:

Mathematische Annalen

Année:

2009

Langue:

english

Fichier:

PDF, 270 KB

english, 2009

26

Random sampling of bandlimited functions

Richard F. Bass, Karlheinz Gröchenig

Journal:

Israel Journal of Mathematics

Année:

2010

Langue:

english

Fichier:

PDF, 551 KB

english, 2010

27

Random Sampling of Multivariate Trigonometric Polynomials

Bass, Richard F., Gröchenig, Karlheinz

Journal:

SIAM Journal on Mathematical Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 255 KB

english, 2005

28

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

Gröchenig, Karlheinz, Schwab, Harald

Journal:

SIAM Journal on Matrix Analysis and Applications

Année:

2003

Langue:

english

Fichier:

PDF, 339 KB

english, 2003

29

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)

Année:

2007

Langue:

english

Fichier:

PDF, 265 KB

english, 2007

30

Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces

Aldroubi, Akram, Gröchenig, Karlheinz

Journal:

Année:

2001

Langue:

english

Fichier:

PDF, 877 KB

english, 2001

31

10.1090/S0002-9947-06-03841-4

Gröchenig, Karlheinz, Leinert, Michael

Journal:

Transactions of the American Mathematical Society

Année:

2006

Langue:

english

Fichier:

PDF, 296 KB

english, 2006

32

Deformation of Gabor systems

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

Journal:

Advances in Mathematics

Année:

2015

Langue:

english

Fichier:

PDF, 675 KB

english, 2015

33

Time–Frequency Localization Operators and a Berezin Transform

Bayer, Dominik, Gröchenig, Karlheinz

Journal:

Integral Equations and Operator Theory

Année:

2015

Langue:

english

Fichier:

PDF, 342 KB

english, 2015

34

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

Année:

2006

Langue:

english

Fichier:

PDF, 1.31 MB

english, 2006

35

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

Année:

2013

Langue:

english

Fichier:

PDF, 327 KB

english, 2013

36

On accumulated spectrograms

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

Journal:

Transactions of the American Mathematical Society

Année:

2015

Langue:

english

Fichier:

PDF, 441 KB

english, 2015

37

What Is Variable Bandwidth?

Gröchenig, Karlheinz, Klotz, Andreas

Journal:

Communications on Pure and Applied Mathematics

Année:

2017

Langue:

english

Fichier:

PDF, 337 KB

english, 2017

38

Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions

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

Journal:

Journal of Functional Analysis

Année:

2019

Langue:

english

Fichier:

PDF, 459 KB

english, 2019

39

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

Année:

2019

Langue:

english

Fichier:

PDF, 1.64 MB

english, 2019

40

Orthogonality Criteria for Compactly Supported Scaling Functions

Karlheinz Gröchenig

Journal:

Applied and Computational Harmonic Analysis

Année:

1994

Fichier:

PDF, 196 KB

1994

41

Irregular sampling theorems and series expansions of band-limited functions

Hans G Feichtinger, Karlheinz Gröchenig

Journal:

Journal of Mathematical Analysis and Applications

Année:

1992

Langue:

english

Fichier:

PDF, 1.35 MB

english, 1992

42

A discrete theory of irregular sampling

Karlheinz Gröchenig

Journal:

Linear Algebra and its Applications

Année:

1993

Langue:

english

Fichier:

PDF, 1.02 MB

english, 1993

43

Localization of frames II

Elena Cordero, Karlheinz Gröchenig

Journal:

Applied and Computational Harmonic Analysis

Année:

2004

Langue:

english

Fichier:

PDF, 274 KB

english, 2004

44

Multivariate Gabor frames and sampling of entire functions of several variables

Karlheinz Gröchenig

Journal:

Applied and Computational Harmonic Analysis

Année:

2011

Langue:

english

Fichier:

PDF, 192 KB

english, 2011

45

Gabor frames with Hermite functions

Karlheinz Gröchenig, Yurii Lyubarskii

Journal:

Comptes Rendus Mathematique

Année:

2007

Langue:

french

Fichier:

PDF, 151 KB

french, 2007

46

Optimal adaptive computations in the Jaffard algebra and localized frames

Stephan Dahlke, Massimo Fornasier, Karlheinz Gröchenig

Journal:

Journal of Approximation Theory

Année:

2010

Langue:

english

Fichier:

PDF, 1.18 MB

english, 2010

47

Landau's necessary density conditions for LCA groups

Karlheinz Gröchenig, Gitta Kutyniok, Kristian Seip

Journal:

Journal of Functional Analysis

Année:

2008

Langue:

english

Fichier:

PDF, 205 KB

english, 2008

48

Uncertainty principles as embeddings of modulation spaces

Yevgeniy V. Galperin, Karlheinz Gröchenig

Journal:

Journal of Mathematical Analysis and Applications

Année:

2002

Langue:

english

Fichier:

PDF, 186 KB

english, 2002

49

The Balian–Low theorem for symplectic lattices in higher dimensions

Karlheinz Gröchenig, Deguang Han, Christopher Heil, Gitta Kutyniok

Journal:

Applied and Computational Harmonic Analysis

Année:

2002

Langue:

english

Fichier:

PDF, 109 KB

english, 2002

50

Almost constant sequences and well-distribution in compact groups

Karlheinz Gröchenig

Journal:

Monatshefte für Mathematik

Année:

1985

Langue:

english

Fichier:

PDF, 495 KB

english, 1985