Voigtlaender, Felix Embeddings of decomposition spaces. (English) Zbl 1525.42001 Memoirs of the American Mathematical Society 1426. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5990-1/pbk; 978-1-4704-7542-0/ebook). vi, 255 p. (2023). Reviewer: Sibei Yang (Lanzhou) MSC: 42-02 46-02 42B35 46E15 46E35 42C15 42C40 22D10 46E30 47B25 41A17 46B15 42B15 PDFBibTeX XMLCite \textit{F. Voigtlaender}, Embeddings of decomposition spaces. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1525.42001) Full Text: DOI arXiv
Führ, Hartmut; Koch, René Embeddings of shearlet coorbit spaces into Sobolev spaces. (English) Zbl 1511.22007 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 3, Article ID 2040003, 38 p. (2022). Reviewer: Françoise Bastin (Liège) MSC: 22D10 42B35 42C15 46E35 PDFBibTeX XMLCite \textit{H. Führ} and \textit{R. Koch}, Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 3, Article ID 2040003, 38 p. (2022; Zbl 1511.22007) Full Text: DOI arXiv
Kumar, Raj; Satyapriya; Shah, Firdous A. Explicit construction of wavelet frames on locally compact abelian groups. (English) Zbl 1493.42048 Anal. Math. Phys. 12, No. 3, Paper No. 83, 29 p. (2022). Reviewer: Azhar Y. Tantary (Srinagar) MSC: 42C15 42C40 43A70 22B05 PDFBibTeX XMLCite \textit{R. Kumar} et al., Anal. Math. Phys. 12, No. 3, Paper No. 83, 29 p. (2022; Zbl 1493.42048) Full Text: DOI
Führ, Hartmut; Oussa, Vignon Groups with frames of translates. (English) Zbl 1495.22003 Colloq. Math. 167, No. 1, 73-91 (2022). Reviewer: Ilona Iglewska-Nowak (Szczecin) MSC: 22D10 42C15 PDFBibTeX XMLCite \textit{H. Führ} and \textit{V. Oussa}, Colloq. Math. 167, No. 1, 73--91 (2022; Zbl 1495.22003) Full Text: DOI arXiv
Berge, Eirik A primer on coorbit theory. (English) Zbl 1489.43004 J. Fourier Anal. Appl. 28, No. 1, Paper No. 2, 61 p. (2022). MSC: 43A25 22D10 22E27 42B35 43A65 PDFBibTeX XMLCite \textit{E. Berge}, J. Fourier Anal. Appl. 28, No. 1, Paper No. 2, 61 p. (2022; Zbl 1489.43004) Full Text: DOI
Saadan, Majid Jabbar; Janfada, Mohammad; Kamyabi-Gol, Radjab Ali Frame of translates and its canonical dual in \(L^2(G)\). (English) Zbl 1492.42038 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 6, Article ID 2150029, 20 p. (2021). Reviewer: Yunzhang Li (Beijing) MSC: 42C15 46B15 22A10 PDFBibTeX XMLCite \textit{M. J. Saadan} et al., Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 6, Article ID 2150029, 20 p. (2021; Zbl 1492.42038) Full Text: DOI
Gröchenig, Karlheinz New function spaces associated to representations of nilpotent Lie groups and generalized time-frequency analysis. (English) Zbl 1486.22010 J. Lie Theory 31, No. 3, 659-680 (2021). Reviewer: Jonathan Rosenberg (College Park) MSC: 22E25 42B35 46E35 22E27 PDFBibTeX XMLCite \textit{K. Gröchenig}, J. Lie Theory 31, No. 3, 659--680 (2021; Zbl 1486.22010) Full Text: arXiv Link
Kumar, Raj; Satyapriya Construction of a frame multiresolution analysis on locally compact Abelian groups. (English) Zbl 1474.42123 Aust. J. Math. Anal. Appl. 18, No. 1, Article No. 5, 19 p. (2021). MSC: 42C15 42C40 22B05 PDFBibTeX XMLCite \textit{R. Kumar} and \textit{Satyapriya}, Aust. J. Math. Anal. Appl. 18, No. 1, Article No. 5, 19 p. (2021; Zbl 1474.42123) Full Text: Link
Levie, Ron; Sochen, Nir Uncertainty principles and optimally sparse wavelet transforms. (English) Zbl 1471.42076 Appl. Comput. Harmon. Anal. 48, No. 3, 811-867 (2020). Reviewer: Hans-Georg Stark (Aschaffenburg) MSC: 42C40 22E30 43A30 94A12 42C15 PDFBibTeX XMLCite \textit{R. Levie} and \textit{N. Sochen}, Appl. Comput. Harmon. Anal. 48, No. 3, 811--867 (2020; Zbl 1471.42076) Full Text: DOI arXiv
Zare, Masoumeh; Kamyabi-Gol, Rajab Ali Standard shearlet group in arbitrary space dimensions and projections in its \(L^1\)-algebra. (English) Zbl 1440.42164 Indian J. Pure Appl. Math. 50, No. 4, 1115-1132 (2019). MSC: 42C15 22D10 22D20 43A20 PDFBibTeX XMLCite \textit{M. Zare} and \textit{R. A. Kamyabi-Gol}, Indian J. Pure Appl. Math. 50, No. 4, 1115--1132 (2019; Zbl 1440.42164) Full Text: DOI
Alberti, Giovanni S.; Bartolucci, Francesca; De Mari, Filippo; De Vito, Ernesto Unitarization and inversion formulae for the Radon transform between dual pairs. (English) Zbl 1436.44002 SIAM J. Math. Anal. 51, No. 6, 4356-4381 (2019). MSC: 44A12 43A85 42C40 22D10 PDFBibTeX XMLCite \textit{G. S. Alberti} et al., SIAM J. Math. Anal. 51, No. 6, 4356--4381 (2019; Zbl 1436.44002) Full Text: DOI arXiv
Cauli, Alessandra Weak-type estimates for the metaplectic representation restricted to the shearing and dilation subgroup of \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1421.43002 Boggiatto, Paolo (ed.) et al., Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5–7, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 59-73 (2019). Reviewer: Koichi Saka (Akita) MSC: 43A80 22E30 42B25 42B37 PDFBibTeX XMLCite \textit{A. Cauli}, in: Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5--7, 2018. Cham: Birkhäuser. 59--73 (2019; Zbl 1421.43002) Full Text: DOI
Oussa, Vignon Compactly supported bounded frames on Lie groups. (English) Zbl 1420.42020 J. Funct. Anal. 277, No. 6, 1718-1762 (2019). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C15 22E25 42C40 PDFBibTeX XMLCite \textit{V. Oussa}, J. Funct. Anal. 277, No. 6, 1718--1762 (2019; Zbl 1420.42020) Full Text: DOI arXiv
Christensen, Ole; Goh, Say Song The unitary extension principle on locally compact abelian groups. (English) Zbl 1440.42149 Appl. Comput. Harmon. Anal. 47, No. 1, 1-29 (2019). Reviewer: Bin Han (Edmonton) MSC: 42C15 42C40 22B05 PDFBibTeX XMLCite \textit{O. Christensen} and \textit{S. S. Goh}, Appl. Comput. Harmon. Anal. 47, No. 1, 1--29 (2019; Zbl 1440.42149) Full Text: DOI arXiv
Oussa, Vignon Frames arising from irreducible solvable actions. I. (English) Zbl 1388.43010 J. Funct. Anal. 274, No. 4, 1202-1254 (2018). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A65 42C40 22E27 PDFBibTeX XMLCite \textit{V. Oussa}, J. Funct. Anal. 274, No. 4, 1202--1254 (2018; Zbl 1388.43010) Full Text: DOI
Zare, Masoumeh; Kamyabi-Gol, Rajab Ali; Amiri, Zahra Determination of subrepresentations of the standard higher dimensional shearlet group. (English) Zbl 1412.22016 Wavel. Linear Algebra 4, No. 1, 11-21 (2017). MSC: 22D10 42C15 PDFBibTeX XMLCite \textit{M. Zare} et al., Wavel. Linear Algebra 4, No. 1, 11--21 (2017; Zbl 1412.22016)
Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Vigogna, Stefano Continuous and discrete frames generated by the evolution flow of the Schrödinger equation. (English) Zbl 1382.42020 Anal. Appl., Singap. 15, No. 6, 915-937 (2017). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 42C40 42C15 22D10 PDFBibTeX XMLCite \textit{G. S. Alberti} et al., Anal. Appl., Singap. 15, No. 6, 915--937 (2017; Zbl 1382.42020) Full Text: DOI arXiv
Subag, Eyal M.; Baruch, Ehud Moshe; Birman, Joseph L.; Mann, Ady Gabor analysis as contraction of wavelets analysis. (English) Zbl 1373.65096 J. Math. Phys. 58, No. 8, 081702, 15 p. (2017). MSC: 65T60 42C40 14L17 22E70 35R03 42C15 PDFBibTeX XMLCite \textit{E. M. Subag} et al., J. Math. Phys. 58, No. 8, 081702, 15 p. (2017; Zbl 1373.65096) Full Text: DOI arXiv
Dahlke, S.; De Mari, F.; De Vito, E.; Labate, D.; Steidl, G.; Teschke, G.; Vigogna, S. Coorbit spaces with voice in a Fréchet space. (English) Zbl 1375.43001 J. Fourier Anal. Appl. 23, No. 1, 141-206 (2017). Reviewer: Vladimir V. Peller (East Lansing) MSC: 43A15 42B35 22D10 46A04 46F05 PDFBibTeX XMLCite \textit{S. Dahlke} et al., J. Fourier Anal. Appl. 23, No. 1, 141--206 (2017; Zbl 1375.43001) Full Text: DOI arXiv
De Mari, Filippo; De Vito, Ernesto; Vigogna, Stefano Geometric classification of semidirect products in the maximal parabolic subgroup of \(\mathrm{Sp}(2,\mathbb{R})\). (English) Zbl 1370.22008 Anal. Appl., Singap. 15, No. 2, 241-259 (2017). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 22E15 43A80 PDFBibTeX XMLCite \textit{F. De Mari} et al., Anal. Appl., Singap. 15, No. 2, 241--259 (2017; Zbl 1370.22008) Full Text: DOI arXiv
Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd Different faces of the shearlet group. (English) Zbl 1344.42027 J. Geom. Anal. 26, No. 3, 1693-1729 (2016). Reviewer: Lalit Kumar Vashisht (Delhi) MSC: 42C15 22D10 22E30 22E60 PDFBibTeX XMLCite \textit{S. Dahlke} et al., J. Geom. Anal. 26, No. 3, 1693--1729 (2016; Zbl 1344.42027) Full Text: DOI arXiv
De Mari, Filippo; De Vito, Ernesto The use of representations in applied harmonic analysis. (English) Zbl 1342.42039 Dahlke, Stephan (ed.) et al., Harmonic and applied analysis. From groups to signals. Cham: Birkhäuser/Springer (ISBN 978-3-319-18862-1/hbk; 978-3-319-18863-8/ebook). Applied and Numerical Harmonic Analysis, 7-81 (2015). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 42C40 22E45 22E46 22E27 22E30 PDFBibTeX XMLCite \textit{F. De Mari} and \textit{E. De Vito}, in: Harmonic and applied analysis. From groups to signals. Cham: Birkhäuser/Springer. 7--81 (2015; Zbl 1342.42039) Full Text: DOI Link
Speckbacher, Michael; Balazs, Peter Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups. (English) Zbl 1326.81099 J. Phys. A, Math. Theor. 48, No. 39, Article ID 395201, 16 p. (2015). MSC: 81R30 22E70 22B05 43A32 42C15 42C40 PDFBibTeX XMLCite \textit{M. Speckbacher} and \textit{P. Balazs}, J. Phys. A, Math. Theor. 48, No. 39, Article ID 395201, 16 p. (2015; Zbl 1326.81099) Full Text: DOI arXiv
Führ, Hartmut Coorbit spaces and wavelet coefficient decay over general dilation groups. (English) Zbl 1335.42039 Trans. Am. Math. Soc. 367, No. 10, 7373-7401 (2015). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C15 22D10 46E35 42C40 PDFBibTeX XMLCite \textit{H. Führ}, Trans. Am. Math. Soc. 367, No. 10, 7373--7401 (2015; Zbl 1335.42039) Full Text: DOI arXiv
Barbieri, D.; Citti, G. Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group. (English) Zbl 1335.46022 Anal. Appl., Singap. 13, No. 3, 331-346 (2015). MSC: 46E22 32V10 22E45 81R30 43A32 PDFBibTeX XMLCite \textit{D. Barbieri} and \textit{G. Citti}, Anal. Appl., Singap. 13, No. 3, 331--346 (2015; Zbl 1335.46022) Full Text: DOI arXiv
Namngam, Kampanat; Schulz, Eckart Extensions of the Heisenberg group by one-parameter groups of dilations which are subgroups of the affine and the symplectic groups. (English) Zbl 1393.22007 Math. Nachr. 288, No. 2-3, 309-326 (2015). MSC: 22E25 22E30 42C40 PDFBibTeX XMLCite \textit{K. Namngam} and \textit{E. Schulz}, Math. Nachr. 288, No. 2--3, 309--326 (2015; Zbl 1393.22007) Full Text: DOI
Christensen, Ole; Goh, Say Song Fourier-like frames on locally compact abelian groups. (English) Zbl 1311.42075 J. Approx. Theory 192, 82-101 (2015). Reviewer: Richard A. Zalik (Auburn) MSC: 42C15 22B05 43A85 PDFBibTeX XMLCite \textit{O. Christensen} and \textit{S. S. Goh}, J. Approx. Theory 192, 82--101 (2015; Zbl 1311.42075) Full Text: DOI
Zare, Masoumeh; Sadeghinezhad, Mina; Kamyabi-Gol, Rajabali On the shearlet transform using hyperbolic functions. (English) Zbl 1408.22006 J. Mahani Math. Res. Cent. 3, No. 1, 19-29 (2014). MSC: 22D10 42C15 46E35 47B25 PDFBibTeX XMLCite \textit{M. Zare} et al., J. Mahani Math. Res. Cent. 3, No. 1, 19--29 (2014; Zbl 1408.22006) Full Text: DOI
Alberti, G. S.; Balletti, L.; De Mari, F.; De Vito, E. Reproducing subgroups of \(Sp(2,\mathbb{R})\). I: Algebraic classification. (English) Zbl 1311.22008 J. Fourier Anal. Appl. 19, No. 4, 651-682 (2013). Reviewer: Łukasz Garncarek (Warszawa) MSC: 22E15 43A80 PDFBibTeX XMLCite \textit{G. S. Alberti} et al., J. Fourier Anal. Appl. 19, No. 4, 651--682 (2013; Zbl 1311.22008) Full Text: DOI arXiv
Labate, Demetrio; Mantovani, Lucia; Negi, Pooran Shearlet smoothness spaces. (English) Zbl 1306.42049 J. Fourier Anal. Appl. 19, No. 3, 577-611 (2013). Reviewer: Hans Triebel (Jena) MSC: 42C15 46E35 22D10 42B35 47B25 42C40 PDFBibTeX XMLCite \textit{D. Labate} et al., J. Fourier Anal. Appl. 19, No. 3, 577--611 (2013; Zbl 1306.42049) Full Text: DOI
Dahlke, Stephan; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd Shearlet coorbit spaces: traces and embeddings in higher dimensions. (English) Zbl 1260.22004 Monatsh. Math. 169, No. 1, 15-32 (2013). Reviewer: Rui Liu (Tianjin) MSC: 22D10 42C15 46E35 47B25 PDFBibTeX XMLCite \textit{S. Dahlke} et al., Monatsh. Math. 169, No. 1, 15--32 (2013; Zbl 1260.22004) Full Text: DOI
Czaja, Wojciech; King, Emily J. Isotropic shearlet analogs for \({L^2}{(\mathbb{R})}^k\) and localization operators. (English) Zbl 1267.42039 Numer. Funct. Anal. Optim. 33, No. 7-9, 872-905 (2012). Reviewer: Jakob Lemvig (Kgs. Lyngby) MSC: 42C40 22D10 42B15 42C15 81R30 94A08 PDFBibTeX XMLCite \textit{W. Czaja} and \textit{E. J. King}, Numer. Funct. Anal. Optim. 33, No. 7--9, 872--905 (2012; Zbl 1267.42039) Full Text: DOI
Dahlke, Stephan; Häuser, Sören; Teschke, Gerd Coorbit space theory for the Toeplitz shearlet transform. (English) Zbl 1252.42031 Int. J. Wavelets Multiresolut. Inf. Process. 10, No. 4, 1250037, 13 p. (2012). Reviewer: Manfred Tasche (Rostock) MSC: 42C15 22D10 46E35 47B25 PDFBibTeX XMLCite \textit{S. Dahlke} et al., Int. J. Wavelets Multiresolut. Inf. Process. 10, No. 4, 1250037, 13 p. (2012; Zbl 1252.42031) Full Text: DOI
Kuznetsova, Yulia; Molitor-Braun, Carine Harmonic analysis of weighted \(L^p\)-algebras. (English) Zbl 1247.43004 Expo. Math. 30, No. 2, 124-153 (2012). Reviewer: Michael J. Puls (New York) MSC: 43A15 22D15 22D20 PDFBibTeX XMLCite \textit{Y. Kuznetsova} and \textit{C. Molitor-Braun}, Expo. Math. 30, No. 2, 124--153 (2012; Zbl 1247.43004) Full Text: DOI arXiv
Chowdhury, S. Hasibul Hassan; Ali, S. Twareque All the groups of signal analysis from the (1+1)-affine Galilei group. (English) Zbl 1272.81038 J. Math. Phys. 52, No. 10, 103504, 18 p. (2011). MSC: 81P68 68U10 94A12 70A05 42C40 19C09 81Q05 22D10 22E70 PDFBibTeX XMLCite \textit{S. H. H. Chowdhury} and \textit{S. T. Ali}, J. Math. Phys. 52, No. 10, 103504, 18 p. (2011; Zbl 1272.81038) Full Text: DOI arXiv Link
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings. (English) Zbl 1243.46023 J. Fourier Anal. Appl. 17, No. 6, 1232-1255 (2011). Reviewer: C. L. Parihar (Indore) MSC: 46E35 42C15 22D10 47B25 PDFBibTeX XMLCite \textit{S. Dahlke} et al., J. Fourier Anal. Appl. 17, No. 6, 1232--1255 (2011; Zbl 1243.46023) Full Text: DOI
Stark, Hans-Georg; Sochen, Nir Square integrable group representations and the uncertainty principle. (English) Zbl 1228.42043 J. Fourier Anal. Appl. 17, No. 5, 916-931 (2011). MSC: 42C40 94A12 81R30 22D10 PDFBibTeX XMLCite \textit{H.-G. Stark} and \textit{N. Sochen}, J. Fourier Anal. Appl. 17, No. 5, 916--931 (2011; Zbl 1228.42043) Full Text: DOI
Christensen, Jens Gerlach; Ólafsson, Gestur Coorbit spaces for dual pairs. (English) Zbl 1221.43003 Appl. Comput. Harmon. Anal. 31, No. 2, 303-324 (2011). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A15 42B35 22D12 PDFBibTeX XMLCite \textit{J. G. Christensen} and \textit{G. Ólafsson}, Appl. Comput. Harmon. Anal. 31, No. 2, 303--324 (2011; Zbl 1221.43003) Full Text: DOI
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd The continuous shearlet transform in arbitrary space dimensions. (English) Zbl 1194.42038 J. Fourier Anal. Appl. 16, No. 3, 340-364 (2010). Reviewer: Paşc Găvruţă (Timişoara) MSC: 42C15 22D10 46E35 47B25 PDFBibTeX XMLCite \textit{S. Dahlke} et al., J. Fourier Anal. Appl. 16, No. 3, 340--364 (2010; Zbl 1194.42038) Full Text: DOI Link
Antoine, J.-P.; Vandergheynst, P. Wavelets on the 2-sphere: A group-theoretical approach. (English) Zbl 0945.42023 Appl. Comput. Harmon. Anal. 7, No. 3, 262-291 (1999). Reviewer: Radu Balan (Princeton) MSC: 42C40 43A65 22D10 PDFBibTeX XMLCite \textit{J. P. Antoine} and \textit{P. Vandergheynst}, Appl. Comput. Harmon. Anal. 7, No. 3, 262--291 (1999; Zbl 0945.42023) Full Text: DOI
Antoine, J.-P.; Vandergheynst, P. Wavelets on the \(n\)-sphere and related manifolds. (English) Zbl 0929.42029 J. Math. Phys. 39, No. 8, 3987-4008 (1998). MSC: 42C40 22E43 53C35 81R30 PDFBibTeX XMLCite \textit{J. P. Antoine} and \textit{P. Vandergheynst}, J. Math. Phys. 39, No. 8, 3987--4008 (1998; Zbl 0929.42029) Full Text: DOI