Šikić, Hrvoje; Slamić, Ivana Dual integrable representations on locally compact groups. (English) Zbl 07805298 J. Geom. Anal. 34, No. 3, Paper No. 91, 52 p. (2024). MSC: 43A65 47A15 43A30 46L52 42C15 PDFBibTeX XMLCite \textit{H. Šikić} and \textit{I. Slamić}, J. Geom. Anal. 34, No. 3, Paper No. 91, 52 p. (2024; Zbl 07805298) Full Text: DOI
Feichtinger, Hans G.; Balazs, Peter; Haider, Daniel Double preconditioning for Gabor frame operators: algebraic, functional analytic and numerical aspects. (English) Zbl 07714156 Appl. Comput. Harmon. Anal. 66, 101-137 (2023). MSC: 43A32 06D22 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., Appl. Comput. Harmon. Anal. 66, 101--137 (2023; Zbl 07714156) Full Text: DOI
Milad, Raja; Taylor, Keith F. Harmonic analysis on the affine group of the plane. (English) Zbl 1527.43006 J. Fourier Anal. Appl. 29, No. 3, Paper No. 30, 35 p. (2023). Reviewer: Cid Reyes Bustos (Tōkyō) MSC: 43A65 22D10 22D30 PDFBibTeX XMLCite \textit{R. Milad} and \textit{K. F. Taylor}, J. Fourier Anal. Appl. 29, No. 3, Paper No. 30, 35 p. (2023; Zbl 1527.43006) Full Text: DOI arXiv
Kisil, Vladimir V. Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group. (English) Zbl 07661354 Ann. Funct. Anal. 14, No. 2, Paper No. 38, 57 p. (2023). MSC: 47B35 30H20 43A15 44A35 46E22 47B32 47G30 81R30 81S30 PDFBibTeX XMLCite \textit{V. V. Kisil}, Ann. Funct. Anal. 14, No. 2, Paper No. 38, 57 p. (2023; Zbl 07661354) Full Text: DOI arXiv
Enstad, Ulrik; Jakobsen, Mads S.; Luef, Franz; Omland, Tron Deformations and Balian-Low theorems for Gabor frames on the adeles. (English) Zbl 1512.43006 Adv. Math. 410, Part B, Article ID 108771, 46 p. (2022). MSC: 43A70 42C15 11R56 46E30 PDFBibTeX XMLCite \textit{U. Enstad} et al., Adv. Math. 410, Part B, Article ID 108771, 46 p. (2022; Zbl 1512.43006) Full Text: DOI arXiv
Al Ameer, Amerah A.; Kisil, Vladimir V. Tuning co- and contra-variant transforms: the Heisenberg group illustration. (English) Zbl 1506.43005 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 065, 21 p. (2022). MSC: 43A65 43A32 43A80 81R30 PDFBibTeX XMLCite \textit{A. A. Al Ameer} and \textit{V. V. Kisil}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 065, 21 p. (2022; Zbl 1506.43005) Full Text: DOI arXiv
Saoudi, Ahmed Two-wavelet theory in Weinstein setting. (English) Zbl 1498.42058 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250020, 17 p. (2022). Reviewer: Ilona Iglewska-Nowak (Szczecin) MSC: 42C40 43A32 44A15 42A38 PDFBibTeX XMLCite \textit{A. Saoudi}, Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250020, 17 p. (2022; Zbl 1498.42058) Full Text: DOI arXiv
Levie, Ron; Sochen, Nir A wavelet Plancherel theory with application to multipliers and sparse approximations. (English) Zbl 1505.42040 Numer. Funct. Anal. Optim. 43, No. 11, 1303-1400 (2022). Reviewer: K. Parthasarathy (Chennai) MSC: 42C40 20C35 65T60 43A80 94A12 20C99 PDFBibTeX XMLCite \textit{R. Levie} and \textit{N. Sochen}, Numer. Funct. Anal. Optim. 43, No. 11, 1303--1400 (2022; Zbl 1505.42040) Full Text: DOI arXiv
Kumar, Amit; Prasad, Akhilesh Wigner-Ville distribution function in the framework of linear canonical transform. (English) Zbl 1504.43004 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 38, 17 p. (2022). Reviewer: Jinsong Wu (Harbin) MSC: 43A32 42A38 34B20 81S30 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{A. Prasad}, J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 38, 17 p. (2022; Zbl 1504.43004) Full Text: DOI
Vashisht, Lalit Kumar; Malhotra, Hari Krishan Discrete vector-valued nonuniform Gabor frames. (English) Zbl 1491.42047 Bull. Sci. Math. 178, Article ID 103145, 34 p. (2022). Reviewer: Devendra Kumar (Al-Baha) MSC: 42C15 42C30 42C40 43A32 PDFBibTeX XMLCite \textit{L. K. Vashisht} and \textit{H. K. Malhotra}, Bull. Sci. Math. 178, Article ID 103145, 34 p. (2022; Zbl 1491.42047) Full Text: DOI arXiv
Ahmad, Owais; Sheikh, Neyaz A.; Hazari, Abid Ayub On generalized inequalities for nonuniform wavelet frames in \(L^2(\mathbb{K})\). (English) Zbl 1499.42154 Afr. Mat. 33, No. 1, Paper No. 5, 14 p. (2022). MSC: 42C40 42C15 43A70 11S85 PDFBibTeX XMLCite \textit{O. Ahmad} et al., Afr. Mat. 33, No. 1, Paper No. 5, 14 p. (2022; Zbl 1499.42154) Full Text: DOI
Enstad, Ulrik The density theorem for projective representations via twisted group von Neumann algebras. (English) Zbl 1494.46056 J. Math. Anal. Appl. 511, No. 2, Article ID 126072, 25 p. (2022). MSC: 46L10 42C15 43A65 22D10 PDFBibTeX XMLCite \textit{U. Enstad}, J. Math. Anal. Appl. 511, No. 2, Article ID 126072, 25 p. (2022; Zbl 1494.46056) 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
Esmaeelzadeh, Fatemeh Multi-dimensional wavelets on Sobolev spaces. (English) Zbl 1513.43004 Khayyam J. Math. 7, No. 2, 211-218 (2021). MSC: 43A15 43A85 46E35 PDFBibTeX XMLCite \textit{F. Esmaeelzadeh}, Khayyam J. Math. 7, No. 2, 211--218 (2021; Zbl 1513.43004) Full Text: DOI
Führ, Hartmut; van Velthoven, Jordy Timo Coorbit spaces associated to integrably admissible dilation groups. (English) Zbl 1493.43004 J. Anal. Math. 144, No. 1, 351-395 (2021). MSC: 43A65 43A15 PDFBibTeX XMLCite \textit{H. Führ} and \textit{J. T. van Velthoven}, J. Anal. Math. 144, No. 1, 351--395 (2021; Zbl 1493.43004) Full Text: DOI arXiv
Ahmad, O.; Sheikh, N. A. Explicit construction of tight nonuniform framelet packets on local fields. (English) Zbl 1482.42087 Oper. Matrices 15, No. 1, 131-149 (2021). Reviewer: Françoise Bastin (Liège) MSC: 42C40 42B10 42C15 43A70 11S85 PDFBibTeX XMLCite \textit{O. Ahmad} and \textit{N. A. Sheikh}, Oper. Matrices 15, No. 1, 131--149 (2021; Zbl 1482.42087) Full Text: DOI
Sinha, Arvind Kumar; Sahoo, Radhakrushna Riesz and tight wavelet frame sets in locally compact abelian groups. (English) Zbl 1487.22004 Kyungpook Math. J. 61, No. 2, 371-381 (2021). Reviewer: Ilona Iglewska-Nowak (Szczecin) MSC: 22B10 42C15 42C40 43A25 43A30 43A70 PDFBibTeX XMLCite \textit{A. K. Sinha} and \textit{R. Sahoo}, Kyungpook Math. J. 61, No. 2, 371--381 (2021; Zbl 1487.22004) Full Text: DOI
Mejjaoli, Hatem; Trimèche, Khalifa Time-frequency analysis associated with the Laguerre wavelet transform. (English) Zbl 1484.44006 Rev. Unión Mat. Argent. 62, No. 1, 31-55 (2021). MSC: 44A20 33E30 42B10 43A32 PDFBibTeX XMLCite \textit{H. Mejjaoli} and \textit{K. Trimèche}, Rev. Unión Mat. Argent. 62, No. 1, 31--55 (2021; Zbl 1484.44006) Full Text: DOI
Shamsabadi, Mitra; Arefijamaal, Ali Akbar On \(C\text{-}D\) controlled frames and their duality. (English) Zbl 1478.42032 Linear Multilinear Algebra 69, No. 9, 1761-1770 (2021). Reviewer: Virender Dalal (Delhi) MSC: 42C15 41A58 43A35 PDFBibTeX XMLCite \textit{M. Shamsabadi} and \textit{A. A. Arefijamaal}, Linear Multilinear Algebra 69, No. 9, 1761--1770 (2021; Zbl 1478.42032) Full Text: DOI
Skrettingland, Eirik On Gabor g-frames and Fourier series of operators. (English) Zbl 1462.42056 Stud. Math. 259, No. 1, 25-78 (2021). MSC: 42C15 47B38 47G30 47B10 43A32 PDFBibTeX XMLCite \textit{E. Skrettingland}, Stud. Math. 259, No. 1, 25--78 (2021; Zbl 1462.42056) Full Text: DOI arXiv
Ahmad, Owais; Sheikh, Neyaz A. Nonuniform semi-orthogonal wavelet frames on non-Archimedean fields. (English) Zbl 1474.42140 Electron. J. Math. Anal. Appl. 9, No. 2, 295-307 (2021). MSC: 42C40 42C15 43A70 11S85 PDFBibTeX XMLCite \textit{O. Ahmad} and \textit{N. A. Sheikh}, Electron. J. Math. Anal. Appl. 9, No. 2, 295--307 (2021; Zbl 1474.42140) Full Text: Link
Romero, José Luis; van Velthoven, Jordy Timo; Voigtlaender, Felix On dual molecules and convolution-dominated operators. (English) Zbl 1470.43005 J. Funct. Anal. 280, No. 10, Article ID 108963, 56 p. (2021). MSC: 43A15 22A10 42C15 42C40 46E22 47B32 PDFBibTeX XMLCite \textit{J. L. Romero} et al., J. Funct. Anal. 280, No. 10, Article ID 108963, 56 p. (2021; Zbl 1470.43005) Full Text: DOI arXiv
Gómez-Cubillo, F.; Wickramasekara, S. Admissible vectors and Hilbert algebras. (English) Zbl 1464.43005 Mediterr. J. Math. 18, No. 1, Paper No. 16, 19 p. (2021). MSC: 43A65 47L30 46K15 PDFBibTeX XMLCite \textit{F. Gómez-Cubillo} and \textit{S. Wickramasekara}, Mediterr. J. Math. 18, No. 1, Paper No. 16, 19 p. (2021; Zbl 1464.43005) Full Text: DOI arXiv
Ahmad, Owais; Ahmad, Neyaz Construction of nonuniform wavelet frames on non-Archimedean fields. (English) Zbl 1456.42036 Math. Phys. Anal. Geom. 23, No. 4, Paper No. 47, 20 p. (2020). MSC: 42C15 42C40 43A70 11S85 PDFBibTeX XMLCite \textit{O. Ahmad} and \textit{N. Ahmad}, Math. Phys. Anal. Geom. 23, No. 4, Paper No. 47, 20 p. (2020; Zbl 1456.42036) Full Text: DOI
Ahmad, Owais Construction of nonuniform periodic wavelet frames on non-Archimedean fields. (English) Zbl 1467.42052 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 74, No. 2, 1-17 (2020). Reviewer: Somantika Datta (Moscow) MSC: 42C40 42C15 42A38 43A70 11S85 PDFBibTeX XMLCite \textit{O. Ahmad}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 74, No. 2, 1--17 (2020; Zbl 1467.42052) Full Text: DOI
Arefijamaal, Ali Akbar; Shamsabadi, Mitra \(O\)-cross Gram matrices with respect to \(g\)-frames. (English) Zbl 1440.41018 Arab. J. Math. 9, No. 2, 259-269 (2020). MSC: 41A58 43A35 PDFBibTeX XMLCite \textit{A. A. Arefijamaal} and \textit{M. Shamsabadi}, Arab. J. Math. 9, No. 2, 259--269 (2020; Zbl 1440.41018) Full Text: DOI
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
Pap, Margit Hyperbolic wavelet frames and multiresolution in the weighted Bergman spaces. (English) Zbl 1423.42066 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., 225-247 (2019). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 65T60 43A65 PDFBibTeX XMLCite \textit{M. Pap}, 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. 225--247 (2019; Zbl 1423.42066) Full Text: DOI
Shah, Firdous A.; Ahmad, Owais; Rahimi, Asghar Frames associated with shift-invariant spaces on local fields. (English) Zbl 1499.42145 Filomat 32, No. 9, 3097-3110 (2018). MSC: 42C15 42C40 43A70 11S85 PDFBibTeX XMLCite \textit{F. A. Shah} et al., Filomat 32, No. 9, 3097--3110 (2018; Zbl 1499.42145) Full Text: DOI
Ahmad, Owais; Sheikh, Neyaz Ahmad Multigenerator Gabor frames on local fields. (English) Zbl 1474.42115 Facta Univ., Ser. Math. Inf. 33, No. 2, 307-324 (2018). MSC: 42C15 42C40 43A70 94A12 PDFBibTeX XMLCite \textit{O. Ahmad} and \textit{N. A. Sheikh}, Facta Univ., Ser. Math. Inf. 33, No. 2, 307--324 (2018; Zbl 1474.42115) Full Text: DOI
Shah, Firdous A. Gabor-type expansions on local fields. (English) Zbl 1414.42039 S\(\vec{\text{e}}\)MA J. 75, No. 3, 485-498 (2018). Reviewer: Ilona Iglewska-Nowak (Szczecin) MSC: 42C15 42C40 42B10 43A70 46B15 PDFBibTeX XMLCite \textit{F. A. Shah}, S\(\vec{\text{e}}\)MA J. 75, No. 3, 485--498 (2018; Zbl 1414.42039) Full Text: DOI
Ahmad, Owais; Shah, Firdous A.; Sheikh, Neyaz A. Gabor frames on non-Archimedean fields. (English) Zbl 1386.42021 Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850079, 17 p. (2018). MSC: 42C15 42C40 42B10 43A70 46B15 26E30 14G17 PDFBibTeX XMLCite \textit{O. Ahmad} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850079, 17 p. (2018; Zbl 1386.42021) Full Text: DOI
Iverson, Joseph W. Frames generated by compact group actions. (English) Zbl 1378.42018 Trans. Am. Math. Soc. 370, No. 1, 509-551 (2018). MSC: 42C15 43A77 47A15 22D10 43A32 PDFBibTeX XMLCite \textit{J. W. Iverson}, Trans. Am. Math. Soc. 370, No. 1, 509--551 (2018; Zbl 1378.42018) Full Text: DOI arXiv
Shah, Firdous A.; Ahmad, Owais; Jan, Huzaifa Sufficient conditions for nonuniform wavelet frames on local fields. (English) Zbl 1474.42131 Facta Univ., Ser. Math. Inf. 32, No. 4, 551-563 (2017). MSC: 42C15 42C40 43A70 11S85 42A38 42B10 PDFBibTeX XMLCite \textit{F. A. Shah} et al., Facta Univ., Ser. Math. Inf. 32, No. 4, 551--563 (2017; Zbl 1474.42131)
Shah, Firdous A.; Ahmad, Owais Wave packet systems on local fields. (English) Zbl 1375.42053 J. Geom. Phys. 120, 5-18 (2017). MSC: 42C15 42C40 43A70 11S85 PDFBibTeX XMLCite \textit{F. A. Shah} and \textit{O. Ahmad}, J. Geom. Phys. 120, 5--18 (2017; Zbl 1375.42053) Full Text: DOI
Rachdi, Lakhdar T.; Meherzi, Fatma Continuous wavelet transform and uncertainty principle related to the spherical mean operator. (English) Zbl 1367.43003 Mediterr. J. Math. 14, No. 1, Paper No. 11, 23 p. (2017). Reviewer: Dachun Yang (Beijing) MSC: 43A32 42B25 PDFBibTeX XMLCite \textit{L. T. Rachdi} and \textit{F. Meherzi}, Mediterr. J. Math. 14, No. 1, Paper No. 11, 23 p. (2017; Zbl 1367.43003) Full Text: DOI
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
Shah, Firdous A. Gabor frames on local fields of positive characteristic. (English) Zbl 1354.42054 Tbil. Math. J. 9, No. 2, 129-139 (2016). MSC: 42C15 42C40 42B10 43A70 46B15 PDFBibTeX XMLCite \textit{F. A. Shah}, Tbil. Math. J. 9, No. 2, 129--139 (2016; Zbl 1354.42054) Full Text: DOI arXiv
Shah, Firdous A.; Bhat, M. Younus Semi-orthogonal wavelet frames on local fields. (English) Zbl 1346.42050 Analysis, München 36, No. 3, 173-181 (2016). Reviewer: Devendra Kumar (Al-Baha) MSC: 42C40 42C15 43A70 11S85 PDFBibTeX XMLCite \textit{F. A. Shah} and \textit{M. Y. Bhat}, Analysis, München 36, No. 3, 173--181 (2016; Zbl 1346.42050) Full Text: DOI
Batayneh, Fawwaz; Mitkovski, Mishko Localized frames and compactness. (English) Zbl 1343.42039 J. Fourier Anal. Appl. 22, No. 3, 568-590 (2016). Reviewer: Brett Wick (St. Louis) MSC: 42C15 42B35 43A22 47B35 47B38 PDFBibTeX XMLCite \textit{F. Batayneh} and \textit{M. Mitkovski}, J. Fourier Anal. Appl. 22, No. 3, 568--590 (2016; Zbl 1343.42039) Full Text: DOI arXiv
Barbieri, Davide; Hernández, Eugenio; Parcet, Javier Riesz and frame systems generated by unitary actions of discrete groups. (English) Zbl 1440.42145 Appl. Comput. Harmon. Anal. 39, No. 3, 369-399 (2015). MSC: 42C15 47A15 43A65 43A70 46L52 PDFBibTeX XMLCite \textit{D. Barbieri} et al., Appl. Comput. Harmon. Anal. 39, No. 3, 369--399 (2015; Zbl 1440.42145) Full Text: DOI arXiv
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
Duan, Xiaoxi The heat kernel and Green function of the sub-Laplacian on the Heisenberg group. (English) Zbl 1282.35392 Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 55-75 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35R03 22E30 43A80 47F05 47G30 PDFBibTeX XMLCite \textit{X. Duan}, Oper. Theory: Adv. Appl. 231, 55--75 (2013; Zbl 1282.35392) Full Text: DOI
Yang, George K. Moments of random fields and their wavelet transforms. (English. French summary) Zbl 1255.46021 Bull. Sci. Math. 136, No. 6, 666-678 (2012). Reviewer: Akhilesh Prasad (Dhanbad) MSC: 46F12 42C40 43A15 60G60 PDFBibTeX XMLCite \textit{G. K. Yang}, Bull. Sci. Math. 136, No. 6, 666--678 (2012; Zbl 1255.46021) Full Text: DOI
Vourdas, A. Totally disconnected and locally compact Heisenberg-Weyl groups. (English) Zbl 1204.43005 J. Fourier Anal. Appl. 16, No. 5, 748-767 (2010). Reviewer: Ye Jiachen (Shanghai) MSC: 43A25 11S99 PDFBibTeX XMLCite \textit{A. Vourdas}, J. Fourier Anal. Appl. 16, No. 5, 748--767 (2010; Zbl 1204.43005) Full Text: DOI
Vourdas, A. Harmonic analysis on \(\text{GF}(p^{p^\infty})\). I. (English) Zbl 1197.43007 J. Math. Anal. Appl. 370, No. 1, 57-70 (2010). Reviewer: Ye Jiachen (Shanghai) MSC: 43A70 11S99 14G32 PDFBibTeX XMLCite \textit{A. Vourdas}, J. Math. Anal. Appl. 370, No. 1, 57--70 (2010; Zbl 1197.43007) Full Text: DOI
Mejjaoli, H.; Sraieb, N. The continuous wavelet transform associated with a differential-difference operator and applications. (English) Zbl 1189.42018 Commun. Math. Anal. 9, No. 1, 48-65 (2010). MSC: 42C40 51F15 43A32 PDFBibTeX XMLCite \textit{H. Mejjaoli} and \textit{N. Sraieb}, Commun. Math. Anal. 9, No. 1, 48--65 (2010; Zbl 1189.42018) Full Text: Euclid
Li, Yafeng; Feng, Xiangchu; He, Jianxun A characterization of the inverse Radon transform associated with the classical domain of type one. (English) Zbl 1182.43013 Integral Transforms Spec. Funct. 20, No. 7-8, 569-579 (2009). Reviewer: Rainer Felix (Eichstätt) MSC: 43A85 44A15 44A12 42C40 43A80 22E27 PDFBibTeX XMLCite \textit{Y. Li} et al., Integral Transforms Spec. Funct. 20, No. 7--8, 569--579 (2009; Zbl 1182.43013) Full Text: DOI
Arefijamaal, A. A.; Kamyabi-Gol, R. A. On the square integrability of quasi regular representation on semidirect product groups. (English) Zbl 1168.43002 J. Geom. Anal. 19, No. 3, 541-552 (2009). MSC: 43A65 42C40 PDFBibTeX XMLCite \textit{A. A. Arefijamaal} and \textit{R. A. Kamyabi-Gol}, J. Geom. Anal. 19, No. 3, 541--552 (2009; Zbl 1168.43002) Full Text: DOI
Führ, H. Painless Gabor expansions on homogeneous manifolds. (English) Zbl 1209.42026 Appl. Comput. Harmon. Anal. 26, No. 2, 200-211 (2009). MSC: 42C40 43A85 PDFBibTeX XMLCite \textit{H. Führ}, Appl. Comput. Harmon. Anal. 26, No. 2, 200--211 (2009; Zbl 1209.42026) Full Text: DOI
Arefijamaal, A. A.; Kamyabi-Gol, R. A. On construction of coherent states associated with semidirect procucts. (English) Zbl 1151.81342 Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 5, 749-759 (2008). MSC: 81R30 43A65 PDFBibTeX XMLCite \textit{A. A. Arefijamaal} and \textit{R. A. Kamyabi-Gol}, Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 5, 749--759 (2008; Zbl 1151.81342) Full Text: DOI
Calixto, M.; Guerrero, J.; Sánchez-Monreal, J. C. Sampling theorem and discrete Fourier transform on the Riemann sphere. (English) Zbl 1268.42011 J. Fourier Anal. Appl. 14, No. 4, 538-567 (2008). MSC: 42B05 42C15 32A10 94A12 81R30 43A90 PDFBibTeX XMLCite \textit{M. Calixto} et al., J. Fourier Anal. Appl. 14, No. 4, 538--567 (2008; Zbl 1268.42011) Full Text: DOI arXiv Link
Hutník, Ondrej On the structure of the space of wavelet transforms. (English) Zbl 1213.43012 C. R., Math., Acad. Sci. Paris 346, No. 11-12, 649-652 (2008). MSC: 43A70 42C40 46E30 PDFBibTeX XMLCite \textit{O. Hutník}, C. R., Math., Acad. Sci. Paris 346, No. 11--12, 649--652 (2008; Zbl 1213.43012) Full Text: DOI
de Gosson, Maurice Metaplectic representation, Conley-Zehnder index, and Weyl calculus on phase space. (English) Zbl 1156.81028 Rev. Math. Phys. 19, No. 10, 1149-1188 (2007). MSC: 81S30 43A65 43A32 81S10 81Q20 PDFBibTeX XMLCite \textit{M. de Gosson}, Rev. Math. Phys. 19, No. 10, 1149--1188 (2007; Zbl 1156.81028) Full Text: DOI
Aniello, Paolo Extended wavelet transforms. (English) Zbl 1101.42016 Int. J. Geom. Methods Mod. Phys. 3, No. 3, 341-373 (2006). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 43A70 PDFBibTeX XMLCite \textit{P. Aniello}, Int. J. Geom. Methods Mod. Phys. 3, No. 3, 341--373 (2006; Zbl 1101.42016) Full Text: DOI
He, Jianxun; Liu, Heping Inversion of the Radon transform associated with the classical domain of type one. (English) Zbl 1079.43012 Int. J. Math. 16, No. 8, 875-887 (2005). Reviewer: C. R. E. Raja (Bangalore) MSC: 43A85 44A15 PDFBibTeX XMLCite \textit{J. He} and \textit{H. Liu}, Int. J. Math. 16, No. 8, 875--887 (2005; Zbl 1079.43012) Full Text: DOI
Ólafsson, G. Continuous action of Lie groups on \(\mathbb R^n\) and frames. (English) Zbl 1089.42023 Int. J. Wavelets Multiresolut. Inf. Process. 3, No. 2, 211-232 (2005). Reviewer: Wojciech Czaja (Wien) MSC: 42C40 43A85 PDFBibTeX XMLCite \textit{G. Ólafsson}, Int. J. Wavelets Multiresolut. Inf. Process. 3, No. 2, 211--232 (2005; Zbl 1089.42023) Full Text: DOI arXiv
Benedetto, John J.; Benedetto, Robert L. A wavelet theory for local fields and related groups. (English) Zbl 1114.42015 J. Geom. Anal. 14, No. 3, 423-456 (2004). MSC: 42C40 43A70 PDFBibTeX XMLCite \textit{J. J. Benedetto} and \textit{R. L. Benedetto}, J. Geom. Anal. 14, No. 3, 423--456 (2004; Zbl 1114.42015) Full Text: DOI arXiv
Yang, George K. Quasi-exchange formulas for wavelet transforms of distributions. (English) Zbl 1066.46033 Appl. Anal. 83, No. 5, 501-507 (2004). Reviewer: H.-J. Glaeske (Jena) MSC: 46F12 42C40 43A65 PDFBibTeX XMLCite \textit{G. K. Yang}, Appl. Anal. 83, No. 5, 501--507 (2004; Zbl 1066.46033) Full Text: DOI
He, Jianxun; Yu, Bo Continuous wavelet transforms on the space \(L^{2}(\mathbf R,\mathbb H; dx)\). (English) Zbl 1040.42031 Appl. Math. Lett. 17, No. 1, 111-121 (2004). MSC: 42C40 43A80 PDFBibTeX XMLCite \textit{J. He} and \textit{B. Yu}, Appl. Math. Lett. 17, No. 1, 111--121 (2004; Zbl 1040.42031) Full Text: DOI
Wong, M. W.; Zhang, Zhaohui Traces of localisation operators with two admissible wavelets. (English) Zbl 1053.42030 ANZIAM J. 45, No. 1, 17-25 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 22D10 43A15 47B38 PDFBibTeX XMLCite \textit{M. W. Wong} and \textit{Z. Zhang}, ANZIAM J. 45, No. 1, 17--25 (2003; Zbl 1053.42030) Full Text: DOI
Toft, Joachim Positivity properties in noncommutative convolution algebras with applications in pseudo-differential calculus. (English) Zbl 1031.47024 Bull. Sci. Math. 127, No. 2, 101-132 (2003). Reviewer: Lajos Molnár (Debrecen) MSC: 47B65 47G30 35S05 35A21 47B10 35A18 43A35 PDFBibTeX XMLCite \textit{J. Toft}, Bull. Sci. Math. 127, No. 2, 101--132 (2003; Zbl 1031.47024) Full Text: DOI
Führ, Hartmut Admissible vectors for the regular representation. (English) Zbl 1002.43004 Proc. Am. Math. Soc. 130, No. 10, 2959-2970 (2002). Reviewer: Ram Kishore Saxena (Jodhpur) MSC: 43A30 42C40 PDFBibTeX XMLCite \textit{H. Führ}, Proc. Am. Math. Soc. 130, No. 10, 2959--2970 (2002; Zbl 1002.43004) Full Text: DOI arXiv
Toft, Joachim Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus. (English) Zbl 1002.43003 Bull. Sci. Math. 126, No. 2, 115-142 (2002). Reviewer: L.Rodino (Torino) MSC: 43A20 35S05 42B35 42C99 16W80 PDFBibTeX XMLCite \textit{J. Toft}, Bull. Sci. Math. 126, No. 2, 115--142 (2002; Zbl 1002.43003) Full Text: DOI
Cassinelli, G.; De Vito, E.; Levrero, A. Square-integrable imprimitivity systems. (English) Zbl 0977.22002 J. Math. Phys. 41, No. 7, 4833-4859 (2000). Reviewer: Benjamin B.Wells jun.(Charlotte) MSC: 22D10 43A85 22F30 PDFBibTeX XMLCite \textit{G. Cassinelli} et al., J. Math. Phys. 41, No. 7, 4833--4859 (2000; Zbl 0977.22002) Full Text: DOI Link
Antoine, J.-P.; Kouagou, Y. B.; Lambert, D.; Torrésani, B. An algebraic approach to discrete dilations. ation to discrete wavelet transforms. (English) Zbl 0969.42019 J. Fourier Anal. Appl. 6, No. 2, 113-141 (2000). Reviewer: Radu Balan (Princeton) MSC: 42C40 43A32 PDFBibTeX XMLCite \textit{J. P. Antoine} et al., J. Fourier Anal. Appl. 6, No. 2, 113--141 (2000; Zbl 0969.42019) Full Text: DOI EuDML
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
Han, Yongsheng Inhomogeneous Calderón reproducing formula on spaces of homogeneous type. (English) Zbl 0915.42010 J. Geom. Anal. 7, No. 2, 259-284 (1997). Reviewer: Terence Tao (Los Angeles) MSC: 42B20 43A85 PDFBibTeX XMLCite \textit{Y. Han}, J. Geom. Anal. 7, No. 2, 259--284 (1997; Zbl 0915.42010) Full Text: DOI
Beckner, William Sharp inequalities and geometric manifolds. (English) Zbl 0895.58059 J. Fourier Anal. Appl. 3, Spec. Iss., 825-836 (1997). MSC: 58J60 43A25 42B10 PDFBibTeX XMLCite \textit{W. Beckner}, J. Fourier Anal. Appl. 3, 825--836 (1997; Zbl 0895.58059) Full Text: DOI EuDML
Dahlke, S.; Maass, P. The affine uncertainty principle in one and two dimensions. (English) Zbl 0843.42019 Comput. Math. Appl. 30, No. 3-6, 293-305 (1995). Reviewer: K.Seip (Trondheim) MSC: 42C15 43A80 PDFBibTeX XMLCite \textit{S. Dahlke} and \textit{P. Maass}, Comput. Math. Appl. 30, No. 3--6, 293--305 (1995; Zbl 0843.42019) Full Text: DOI
Healy, D. M. jun.; Schroeck, F. E. jun. On informational completeness of covariant localization observables and Wigner coefficients. (English) Zbl 0839.43012 J. Math. Phys. 36, No. 1, 453-507 (1995). Reviewer: Walter Schempp (Siegen) MSC: 43A65 94A12 22E27 22D10 22C05 81S30 PDFBibTeX XMLCite \textit{D. M. Healy jun.} and \textit{F. E. Schroeck jun.}, J. Math. Phys. 36, No. 1, 453--507 (1995; Zbl 0839.43012) Full Text: DOI
Jiang, Qingtang; Peng, Lizhong Phase space, wavelet transform and Toeplitz-Hankel type operators. (English) Zbl 0848.42024 Isr. J. Math. 89, No. 1-3, 157-171 (1995). MSC: 42C40 43A85 PDFBibTeX XMLCite \textit{Q. Jiang} and \textit{L. Peng}, Isr. J. Math. 89, No. 1--3, 157--171 (1995; Zbl 0848.42024) Full Text: DOI
Kalisa, C.; Torrésani, B. \(n\)-dimensional affine Weyl-Heisenberg wavelets. (English) Zbl 0923.43004 Ann. Inst. Henri Poincaré, Phys. Théor. 59, No. 2, 201-236 (1993). MSC: 43A80 46N50 81R30 42C40 PDFBibTeX XMLCite \textit{C. Kalisa} and \textit{B. Torrésani}, Ann. Inst. Henri Poincaré, Phys. Théor. 59, No. 2, 201--236 (1993; Zbl 0923.43004) Full Text: Numdam EuDML
Segman, Joseph; Schempp, Walter Two ways to incorporate scale in the Heisenberg group with an intertwining operator. (English) Zbl 0845.42017 J. Math. Imaging Vis. 3, No. 1, 79-94 (1993). MSC: 42C15 43A75 94A12 PDFBibTeX XMLCite \textit{J. Segman} and \textit{W. Schempp}, J. Math. Imaging Vis. 3, No. 1, 79--94 (1993; Zbl 0845.42017) Full Text: DOI
Segman, Joseph; Zeevi, Yehoshua Y. Image analysis by wavelet-type transforms: Group theoretic approach. (English) Zbl 0788.42016 J. Math. Imaging Vis. 3, No. 1, 51-77 (1993). MSC: 42C40 94A11 43A99 94A12 68T10 PDFBibTeX XMLCite \textit{J. Segman} and \textit{Y. Y. Zeevi}, J. Math. Imaging Vis. 3, No. 1, 51--77 (1993; Zbl 0788.42016) Full Text: DOI
Haran, Shai Quantizations and symbolic calculus over the \(p\)-adic numbers. (English) Zbl 0974.22009 Ann. Inst. Fourier 43, No. 4, 997-1053 (1993). MSC: 22E35 11S80 81Q99 81S30 43A25 81S10 PDFBibTeX XMLCite \textit{S. Haran}, Ann. Inst. Fourier 43, No. 4, 997--1053 (1993; Zbl 0974.22009) Full Text: DOI Numdam EuDML
Fan, Qihong Phase space analysis of the identity decompositions. (English) Zbl 0792.42023 J. Math. Phys. 34, No. 8, 3471-3477 (1993). MSC: 42C15 43A75 PDFBibTeX XMLCite \textit{Q. Fan}, J. Math. Phys. 34, No. 8, 3471--3477 (1993; Zbl 0792.42023) Full Text: DOI
Schempp, Walter Quantum holography and neurocomputer architectures. (English) Zbl 0770.68032 J. Math. Imaging Vis. 2, No. 4, 279-326 (1992). MSC: 68M07 78A99 43A80 PDFBibTeX XMLCite \textit{W. Schempp}, J. Math. Imaging Vis. 2, No. 4, 279--326 (1992; Zbl 0770.68032) Full Text: DOI
Ali, S. T.; Antoine, J.-P.; Gazeau, J.-P. Square integrability of group representations on homogeneous spaces. II: Coherent and quasi-coherent states. The case of the Poincaré group. (English) Zbl 0752.22003 Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 4, 857-890 (1991). Reviewer: G.Loupias (Montpellier) MSC: 22D12 43A85 81R30 22E70 PDFBibTeX XMLCite \textit{S. T. Ali} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 4, 857--890 (1991; Zbl 0752.22003) Full Text: Numdam EuDML
Ali, S. T.; Antoine, J.-P.; Gazeau, J.-P. Square integrability of group representations on homogeneous spaces. I: Reproducing triples and frames. (English) Zbl 0752.22002 Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 4, 829-855 (1991). Reviewer: G.Loupias (Montpellier) MSC: 22D12 43A85 81R30 22E70 PDFBibTeX XMLCite \textit{S. T. Ali} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 4, 829--855 (1991; Zbl 0752.22002) Full Text: Numdam EuDML
Gröchenig, Karlheinz Describing functions: Atomic decompositions versus frames. (English) Zbl 0736.42022 Monatsh. Math. 112, No. 1, 1-42 (1991). Reviewer: K.Gröchenig MSC: 42C15 43A15 46E99 PDFBibTeX XMLCite \textit{K. Gröchenig}, Monatsh. Math. 112, No. 1, 1--42 (1991; Zbl 0736.42022) Full Text: DOI EuDML
Bohnke, G. Wavelet lattices associated with Lorentz groups. (Treillis d’ondelettes associés aux groupes de Lorentz.) (French) Zbl 0743.43005 Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 3, 245-259 (1991). Reviewer: C.F.Dunkl (Charlottesville) MSC: 43A15 22E15 PDFBibTeX XMLCite \textit{G. Bohnke}, Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 3, 245--259 (1991; Zbl 0743.43005) Full Text: Numdam EuDML
Frazier, Michael; Jawerth, Björn A discrete transform and decompositions of distribution spaces. (English) Zbl 0716.46031 J. Funct. Anal. 93, No. 1, 34-170 (1990). Reviewer: J.F.Toland MSC: 46E35 46F12 43A32 46F05 46M35 PDFBibTeX XMLCite \textit{M. Frazier} and \textit{B. Jawerth}, J. Funct. Anal. 93, No. 1, 34--170 (1990; Zbl 0716.46031) Full Text: DOI
Várilly, Joseph C.; Gracia-Bondía, José M.; Schempp, Walter The Moyal representation of quantum mechanics and special function theory. (English) Zbl 0703.33015 Acta Appl. Math. 18, No. 3, 225-250 (1990). Reviewer: W.Schempp MSC: 33C80 43A30 PDFBibTeX XMLCite \textit{J. C. Várilly} et al., Acta Appl. Math. 18, No. 3, 225--250 (1990; Zbl 0703.33015) Full Text: DOI
Feichtinger, Hans G.; Gröchenig, K. H. Banach spaces related to integrable group representations and their atomic decompositions. I. (English) Zbl 0691.46011 J. Funct. Anal. 86, No. 2, 307-340 (1989). Reviewer: R. Rochberg MSC: 46E35 43A99 22D10 46F05 PDFBibTeX XMLCite \textit{H. G. Feichtinger} and \textit{K. H. Gröchenig}, J. Funct. Anal. 86, No. 2, 307--340 (1989; Zbl 0691.46011) Full Text: DOI
Meladze, G. A.; Shubin, M. A. Proper uniform pseudodifferential operators on unimodular Lie groups. (English. Russian original) Zbl 0675.58036 J. Sov. Math. 45, No. 5, 1421-1439 (1989); translation from Tr. Semin. Im. I. G. Petrovskogo 11, 74-97 (1986). MSC: 58J40 22E30 43A80 PDFBibTeX XMLCite \textit{G. A. Meladze} and \textit{M. A. Shubin}, J. Sov. Math. 45, No. 5, 1421--1439 (1989; Zbl 0675.58036); translation from Tr. Semin. Im. I. G. Petrovskogo 11, 74--97 (1986) Full Text: DOI
Ratcliff, G. Symbols and orbits for 3-step nilpotent Lie groups. (English) Zbl 0571.22011 J. Funct. Anal. 62, 38-64 (1985). Reviewer: H.Stetkaer MSC: 22E27 43A15 PDFBibTeX XMLCite \textit{G. Ratcliff}, J. Funct. Anal. 62, 38--64 (1985; Zbl 0571.22011) Full Text: DOI
Christ, Michael; Geller, Daryl Singular integral characterizations of Hardy spaces on homogeneous groups. (English) Zbl 0601.43003 Duke Math. J. 51, 547-598 (1984). Reviewer: G.Loupias MSC: 43A17 22E30 43A85 PDFBibTeX XMLCite \textit{M. Christ} and \textit{D. Geller}, Duke Math. J. 51, 547--598 (1984; Zbl 0601.43003) Full Text: DOI
Werner, R. Quantum harmonic analysis on phase space. (English) Zbl 0557.43003 J. Math. Phys. 25, 1404-1411 (1984). Reviewer: J.Slawianowski MSC: 43A25 81S30 81S10 43A32 44A35 PDFBibTeX XMLCite \textit{R. Werner}, J. Math. Phys. 25, 1404--1411 (1984; Zbl 0557.43003) Full Text: DOI
Howe, Roger On the role of the Heisenberg group in harmonic analysis. (English) Zbl 0442.43002 Bull. Am. Math. Soc., New Ser. 3, 821-843 (1980). MSC: 43-02 43A45 58J40 35-02 22-02 PDFBibTeX XMLCite \textit{R. Howe}, Bull. Am. Math. Soc., New Ser. 3, 821--843 (1980; Zbl 0442.43002) Full Text: DOI