Shearlet coorbit spaces and associated Banach frames

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2009.02.004 ◽

2009 ◽

Vol 27 (2) ◽

pp. 195-214 ◽

Author(s):

Stephan Dahlke ◽

Gitta Kutyniok ◽

Gabriele Steidl ◽

Gerd Teschke

Keyword(s):

Banach Frames ◽

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Coorbit Spaces and Banach Frames on Homogeneous Spaces with Applications to the Sphere

Advances in Computational Mathematics ◽

10.1023/b:acom.0000016435.42220.fa ◽

2004 ◽

Vol 21 (1/2) ◽

pp. 147-180 ◽

Author(s):

Stephan Dahlke ◽

Gabriele Steidl ◽

Gerd Teschke

Keyword(s):

Homogeneous Spaces ◽

Banach Frames ◽

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Banach frames in coorbit spaces consisting of elements which are invariant under symmetry groups

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2004.09.002 ◽

2005 ◽

Vol 18 (1) ◽

pp. 94-122 ◽

Author(s):

Holger Rauhut

Keyword(s):

Symmetry Groups ◽

Banach Frames ◽

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Weighted Coorbit Spaces and Banach Frames on Homogeneous Spaces

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-004-3055-0 ◽

2004 ◽

Vol 10 (5) ◽

Author(s):

Stephan Dahlke ◽

Gabriele Steidl ◽

Gerd Teschke

Keyword(s):

Homogeneous Spaces ◽

Banach Frames ◽

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COORBIT SPACE THEORY FOR THE TOEPLITZ SHEARLET TRANSFORM

International Journal of Wavelets Multiresolution and Information Processing ◽

10.1142/s0219691312500373 ◽

2012 ◽

Vol 10 (04) ◽

pp. 1250037 ◽

Author(s):

STEPHAN DAHLKE ◽

SÖREN HÄUSER ◽

GERD TESCHKE

Keyword(s):

Space Theory ◽

Atomic Decompositions ◽

Banach Frames ◽

Shearlet Transform ◽

Coorbit Spaces ◽

Coorbit Space Theory ◽

Arbitrary Space

In this paper we are concerned with the continuous shearlet transform in arbitrary space dimensions where the shear operation is of Toeplitz type. In particular, we focus on the construction of associated shearlet coorbit spaces and on atomic decompositions and Banach frames for these spaces.

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Banach frames for α-modulation spaces

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2006.05.008 ◽

2007 ◽

Vol 22 (2) ◽

pp. 157-175 ◽

Author(s):

Massimo Fornasier

Keyword(s):

Modulation Spaces ◽

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Molecules in coorbit spaces and boundedness of operators

Studia Mathematica ◽

10.4064/sm192-1-6 ◽

2009 ◽

Vol 192 (1) ◽

pp. 61-77 ◽

Author(s):

Karlheinz Gröchenig ◽

Mariusz Piotrowski

Keyword(s):

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RETRO K-BANACH FRAMES IN BANACH SPACES

Poincare Journal of Analysis and Applications ◽

10.46753/pjaa.2018.v05i02(i).003 ◽

2018 ◽

Vol 05 (2.1) ◽

pp. 65-75

Author(s):

CHANDER SHEKHAR ◽

TARA . ◽

GHANSHYAM SINGH RATHORE

Keyword(s):

Banach Spaces ◽

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NEAR EXACT OPERATOR BANACH FRAMES IN BANACH SPACES

Poincare Journal of Analysis and Applications ◽

10.46753/pjaa.2019.v06i01.006 ◽

2019 ◽

Vol 06 (01) ◽

pp. 67-75

Author(s):

SHALU SHARMA ◽

KHOLE TIMOTHY POUMAI ◽

CHANDER SHEKHAR

Keyword(s):

Banach Spaces ◽

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Examples of Coorbit Spaces for Dual Pairs

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9390-4 ◽

2008 ◽

Vol 107 (1-3) ◽

pp. 25-48 ◽

Author(s):

Jens Gerlach Christensen ◽

Gestur Ólafsson

Keyword(s):

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On the Atomic Decomposition of Coorbit Spaces with Non-integrable Kernel

Landscapes of Time-Frequency Analysis - Applied and Numerical Harmonic Analysis ◽

10.1007/978-3-030-05210-2_4 ◽

2019 ◽

pp. 75-144

Author(s):

Stephan Dahlke ◽

Filippo De Mari ◽

Ernesto De Vito ◽

Lukas Sawatzki ◽

Gabriele Steidl ◽

...

Keyword(s):

Atomic Decomposition ◽

Integrable Kernel ◽

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