Kraußhar, Rolf Sören; Legatiuk, Anastasiia; Legatiuk, Dmitrii Application of the Weyl calculus perspective on discrete octonionic analysis in bounded domains. (English) Zbl 07980096 Complex Anal. Oper. Theory 19, No. 2, Paper No. 26, 28 p. (2025). MSC: 39A12 42A38 44A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singhal, Ritika; Kumar, N. Shravan Paley inequality for the Weyl transform and its applications. (English) Zbl 07963422 Forum Math. 37, No. 1, 309-323 (2025). MSC: 43A32 42B15 43A15 43A25 43A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jakšić, Smiljana; Pilipović, Stevan The spaces of ultradistributions over \(\boldsymbol{\mathbb{R}^d_+}\) and the Weyl calculus of pseudo-differential operators. (English) Zbl 07980639 Chatzakou, Marianna (ed.) et al., Women in analysis and PDE. Contributions given by female speakers during many scientific events of GAPC since 2019. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 5, 197-207 (2024). MSC: 35-XX 46F12 46F05 33C45 42B10 44A15 47G10 47G30 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
Giacchi, Gianluca Boundedness of metaplectic operators within \(L^p\) spaces, applications to pseudodifferential calculus, and time-frequency representations. (English) Zbl 07973308 J. Fourier Anal. Appl. 30, No. 6, Paper No. 69, 31 p. (2024). MSC: 42A38 42B35 46F12 47G30 15A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramakrishnan, Radha; Velsamy, Rabeetha A system of twisted translates associated with a matrix pair. (English) Zbl 07960867 Rend. Circ. Mat. Palermo (2) 73, No. 8, 3033-3054 (2024). MSC: 42C15 43A30 × Cite Format Result Cite Review PDF Full Text: DOI
Ramakrishnan, Radha; Velsamy, Rabeetha Data approximation in twisted shift-invariant spaces. (English) Zbl 07952225 Adv. Oper. Theory 9, No. 2, Paper No. 37, 12 p. (2024). MSC: 42A85 42C15 41A30 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Maity, Arup Kumar; Ratnakumar, P. K. Weyl multipliers for \((L^p, L^q)\). (English) Zbl 07901702 Monatsh. Math. 205, No. 1, 187-198 (2024). MSC: 42B15 43A32 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Cahen, Benjamin Berezin correspondence and Stratonovich-Weyl correspondence for the semi-direct product of the Heisenberg group and \(SU (p,q)\). (English) Zbl 07898737 Kyushu J. Math. 78, No. 1, 71-90 (2024). MSC: 22E46 32M10 46E22 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xuan; Dang, Pei; Mai, Weixiong \(L^p\)-theory of linear canonical transforms and related uncertainty principles. (English) Zbl 1547.42017 Math. Methods Appl. Sci. 47, No. 7, 6272-6300 (2024). MSC: 42B10 42A38 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Thangavelu, Sundaram A note on fractional powers of the Hermite operator. (English) Zbl 1540.35326 Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 199-207 (2024). MSC: 35Q40 35S05 33C10 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garg, Rahul; Thangavelu, Sundaram Boundedness of certain linear operators on twisted Fock spaces. (English) Zbl 1548.32021 Math. Z. 307, No. 2, Paper No. 39, 24 p. (2024). MSC: 32A37 47B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hleili, Manel Some uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform. (English) Zbl 1537.42006 Adv. Appl. Clifford Algebr. 34, No. 3, Paper No. 13, 18 p. (2024). MSC: 42A38 42B10 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Ramakrishnan, Radha; Velsamy, Rabeetha Zak transform associated with the Weyl transform and the system of twisted translates on \(\mathbb{R}^{2n}\). (English) Zbl 1541.43006 Result. Math. 79, No. 2, Paper No. 65, 26 p. (2024). Reviewer: Arash Ghaani Farashahi (Wien) MSC: 43A30 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Denisov, Denis; Fitzgerald, Will Ordered exponential random walks. (English) Zbl 1533.60058 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 2, 1211-1246 (2023). MSC: 60G50 60G40 60C05 60K25 60K35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Samanta, Amit; Sarkar, Santanu Uncertainty principle for Weyl transform and Fourier-Wigner transform. (English) Zbl 1531.42019 Colloq. Math. 174, No. 2, 217-227 (2023). MSC: 42B10 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Santi; Ramakrishnan, Radha; Massopust, Peter Systems of left translates and oblique duals on the Heisenberg group. (English) Zbl 1538.42062 Constr. Math. Anal. 6, No. 4, 222-236 (2023). MSC: 42C15 41A15 43A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hilgert, Joachim; Weich, Tobias; Wolf, Lasse L. Higher rank quantum-classical correspondence. (English) Zbl 1545.58011 Anal. PDE 16, No. 10, 2241-2265 (2023). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 58J50 22E46 37C85 37D20 43A90 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Himani Spectral multiplier theorems for abstract differential operators. (Abstract of thesis). (English) Zbl 1540.47027 Bull. Aust. Math. Soc. 108, No. 2, 343-344 (2023). MSC: 47A60 42A45 42B15 42B20 47A13 47D03 47F05 47G30 × Cite Format Result Cite Review PDF Full Text: DOI
Chadzitaskos, Goce; Hrivnák, Jiří; Thiele, Jan Discrete even Fourier-Weyl transforms of \(A_1 \times A_1\). (English) Zbl 1531.42003 Anal. Math. Phys. 13, No. 5, Paper No. 76, 23 p. (2023). MSC: 42A38 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Juršėnas, Rytis Weyl families of transformed boundary pairs. (English) Zbl 07749447 Math. Nachr. 296, No. 8, 3411-3448 (2023). MSC: 47A06 47B50 47B25 46C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prasad, Akhilesh; Verma, Randhir Kumar Weyl transforms associated with Dunkl wavelet transform. (English) Zbl 1539.42044 Complex Anal. Oper. Theory 17, No. 7, Paper No. 110, 17 p. (2023). Reviewer: Qiao-Fang Lian (Beijing) MSC: 42C40 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Santi Ranjan; Velsamy, Rabeetha; Ramakrishnan, Radha Twisted shift-invariant system in \(L^2(\mathbb{R}^{2N})\). (English) Zbl 1529.42025 Nagoya Math. J. 251, 734-767 (2023). Reviewer: Anirudha Poria (Suzhou) MSC: 42C15 43A30 × Cite Format Result Cite Review PDF Full Text: DOI
Wong, M. W.; Yang, Shengwen On evolution of the classical heat and the quantum wave generated by the Laplacian on the Heisenberg group. (English) Zbl 1518.35602 J. Pseudo-Differ. Oper. Appl. 14, No. 3, Paper No. 47, 12 p. (2023). MSC: 35R03 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Hrivnák, Jiří; Motlochová, Lenka; Novotný, Petr Quantum particle on dual weight lattice in even Weyl alcove. (English) Zbl 1527.81071 Int. J. Theor. Phys. 62, No. 3, Paper No. 65, 31 p. (2023). MSC: 81R05 81Q37 20F55 17B22 20H15 82B41 81Q05 32F18 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xinyu; Zheng, Shenzhou Tighter Heisenberg-Weyl type uncertainty principle associated with quaternion wavelet transform. (English) Zbl 1517.42010 J. Pseudo-Differ. Oper. Appl. 14, No. 1, Paper No. 14, 27 p. (2023). Reviewer: Nikhil Khanna (Masqaṭ) MSC: 42B10 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Brus, Adam; Hrivnák, Jiří; Motlochová, Lenka Quantum particle on lattices in Weyl alcoves. (English) Zbl 1545.81313 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 501-507 (2022). MSC: 81V65 81Q35 46C05 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Ghosh, Somnath; Srivastava, R. K. Benedicks-Amrein-Berthier theorem for the Heisenberg motion group. (English) Zbl 1532.43001 Bull. Lond. Math. Soc. 54, No. 2, 526-539 (2022). Reviewer: Ashish Bansal (Delhi) MSC: 43A30 43A80 44A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bolaños-Servín, Jorge R.; Quezada, Roberto; Rios-Cangas, Josué I. Weyl moments and quantum Gaussian states. (English) Zbl 07633036 Rep. Math. Phys. 90, No. 3, 357-376 (2022). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hrivnák, Jiří; Motlochová, Lenka On electron propagation in triangular graphene quantum dots. (English) Zbl 1507.82094 J. Phys. A, Math. Theor. 55, No. 12, Article ID 125201, 40 p. (2022). MSC: 82D80 81Q37 × Cite Format Result Cite Review PDF Full Text: DOI
Swarup Mondal, Shyam; Poria, Anirudha Weighted norm inequalities for the Opdam-Cherednik transform. (English) Zbl 1507.44002 Int. J. Math. 33, No. 9, Article ID 2250066, 21 p. (2022). MSC: 44A15 43A32 33C45 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tate, Tatsuya An eigenfunction expansion formula for one-dimensional two-state quantum walks. (English) Zbl 1542.47028 Ann. Funct. Anal. 13, No. 4, Paper No. 65, 74 p. (2022). MSC: 47A70 47A40 34B20 47B36 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Kley, Susanne; Mädler, Conrad The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem. (English) Zbl 1503.44005 Linear Algebra Appl. 651, 230-311 (2022). MSC: 44A60 47A57 30E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maan, Jeetendrasingh; Prasad, Akhilesh Weyl operator associated with index Whittaker transform. (English) Zbl 1498.44007 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 27, 12 p. (2022). MSC: 44A15 33C15 47B38 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Hleili, Khaled \(L^p\) uncertainty principles for the windowed spherical mean transform. (English) Zbl 1489.42005 Mem. Differ. Equ. Math. Phys. 85, 75-90 (2022). MSC: 42B10 44A05 × Cite Format Result Cite Review PDF Full Text: Link
Dalai, Rupak K.; Ghosh, Somnath; Srivastava, R. K. Boundedness and uniqueness of quaternion Weyl transform. (English) Zbl 07517847 J. Pseudo-Differ. Oper. Appl. 13, No. 2, Paper No. 21, 24 p. (2022). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47S05 47G30 42B10 47B10 × Cite Format Result Cite Review PDF Full Text: DOI
Haimi, Antti; Koliander, Günther; Romero, José Luis Zeros of Gaussian Weyl-Heisenberg functions and hyperuniformity of charge. (English) Zbl 1492.60087 J. Stat. Phys. 187, No. 3, Paper No. 22, 41 p. (2022). MSC: 60G15 60G55 42A61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skrettingland, Eirik Equivalent norms for modulation spaces from positive Cohen’s class distributions. (English) Zbl 07497563 J. Fourier Anal. Appl. 28, No. 2, Paper No. 30, 34 p. (2022). Reviewer: Elhadj Dahia (Bou Saâda) MSC: 47B10 47B34 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hireche, Faouzi; Ghomari, Kaoutar Spectrum of semiclassical Schrödinger operators for two-frequency resonance. (English) Zbl 1509.35257 Asymptotic Anal. 127, No. 1-2, 191-200 (2022). MSC: 35Q40 81Q05 81S10 37G05 35B34 × Cite Format Result Cite Review PDF Full Text: DOI
Das, S. R.; Massopust, P.; Radha, R. Twisted B-splines in the complex plane. (English) Zbl 1484.41007 Appl. Comput. Harmon. Anal. 56, 250-282 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 42C15 43A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jakubczyk, Paweł; Wal, Andrzej; Kaczor, Michał; Jakubczyk, Dorota; Łabuz, Mirosław; Milewski, Jan A Maple package for combinatorial aspects of Bethe ansatz. (English) Zbl 1544.82012 Comput. Phys. Commun. 261, Article ID 107720, 14 p. (2021). Reviewer: Eunghyun Lee (Astana) MSC: 82B23 65T60 82D40 82-04 × Cite Format Result Cite Review PDF Full Text: DOI
Brus, Adam; Hrivnák, Jiří; Motlochová, Lenka Quantum particle on dual root lattice in Weyl alcove. (English) Zbl 1519.81229 J. Phys. A, Math. Theor. 54, No. 9, Article ID 095202, 31 p. (2021). MSC: 81Q37 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Natividad, Laarni B.; Nable, Job A. Symbol correspondence for Euclidean systems. (English) Zbl 1513.81096 J. Geom. Symmetry Phys. 62, 67-84 (2021). MSC: 81S30 53D55 81R05 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, H. M. Some parametric and argument variations of the operators of fractional calculus and related special functions and integral transformations. (English) Zbl 1515.26013 J. Nonlinear Convex Anal. 22, No. 8, 1501-1520 (2021). MSC: 26A33 33B15 33C90 44A10 × Cite Format Result Cite Review PDF Full Text: Link
Bandaliyev, R. A.; Ibayev, E. A.; Omarova, K. K. Investigation of fractional order differential equation for boundary functional of a semi-Markov random walk process with negative drift and positive jumps. (English) Zbl 1498.60352 Chaos Solitons Fractals 152, Article ID 111394, 5 p. (2021). MSC: 60K15 60G50 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
García, Antonio G. Sampling in \(\Lambda\)-shift-invariant subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1487.42073 Math. Found. Comput. 4, No. 4, 281-297 (2021). MSC: 42C15 43A32 47B10 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García, Antonio G. Average sampling in certain subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1479.94088 Sampl. Theory Signal Process. Data Anal. 19, No. 2, Paper No. 10, 21 p. (2021). MSC: 94A20 42C15 43A32 47B10 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Natividad, Laarni B.; Nable, Job A. Star product on the Euclidean motion group in the plane. (English) Zbl 1471.81058 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 22, 209-218 (2021). MSC: 81S30 22E70 53D55 46L05 47N70 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Hleili, Khaled A variation on uncertainty principles for quaternion linear canonical transform. (English) Zbl 1470.42011 Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 46, 13 p. (2021). MSC: 42A38 44A35 33C45 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Basak, Riju; Garg, Rahul; Thangavelu, Sundaram Homogeneous Fourier and Weyl multipliers on Sobolev spaces related to the Heisenberg group. (English) Zbl 1484.43002 J. Funct. Anal. 281, No. 8, Article ID 109154, 45 p. (2021). Reviewer: Jinsen Xiao (Guangzhou) MSC: 43A22 42B15 42B35 46E36 43A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Il Ju; Heo, Jaeseong \(\mathcal{J}\)-selfadjoint Krein space operators and Aluthge transforms. (English) Zbl 1482.47077 Mediterr. J. Math. 18, No. 4, Paper No. 138, 16 p. (2021). MSC: 47B50 47A53 47A10 46C20 × Cite Format Result Cite Review PDF Full Text: DOI
Chettaoui, Chirine; Hassini, Amina; Trimèche, Khalifa The Wigner and Weyl transforms attached to the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\). (English) Zbl 1475.43005 J. Pseudo-Differ. Oper. Appl. 12, No. 2, Paper No. 30, 25 p. (2021). MSC: 43A32 44A15 33C67 33E30 × Cite Format Result Cite Review PDF Full Text: DOI
Poria, Anirudha; Swain, Jitendriya Balian-Low type theorems on \(L^2(\mathbb{C})\). (English) Zbl 1466.42027 J. Pseudo-Differ. Oper. Appl. 12, No. 2, Paper No. 28, 25 p. (2021). MSC: 42C15 47B38 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dasgupta, Aparajita; Nayak, Santosh Kumar; Wong, M. W. Hilbert-Schmidt and trace class pseudo-differential operators and Weyl transforms on the affine group. (Hilbert-schimdt and trace class pseudo-differential operators and Weyl transforms on the affine group.) (English) Zbl 1543.47098 J. Pseudo-Differ. Oper. Appl. 12, No. 1, Paper No. 11, 19 p. (2021). MSC: 47G30 47B10 × Cite Format Result Cite Review PDF Full Text: DOI
de Gosson, Maurice A. Quantum harmonic analysis. An introduction. (English) Zbl 1476.81001 Advances in Analysis and Geometry 4. Berlin: De Gruyter (ISBN 978-3-11-072261-1/hbk; 978-3-11-072277-2/ebook). xvii, 220 p. (2021). Reviewer: Bassano Vacchini (Milano) MSC: 81-01 42-01 81S30 81P16 81P40 42B35 47B90 × Cite Format Result Cite Review PDF Full Text: DOI
Faifman, Dmitry; Wannerer, Thomas The Weyl principle on the Finsler frontier. (English) Zbl 1462.53013 Sel. Math., New Ser. 27, No. 2, Paper No. 27, 30 p. (2021). MSC: 53B40 52B45 52A39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costa, F. S.; de Oliveira, E. Capelas; Plata, Adrian R. G. Fractional diffusion with time-dependent diffusion coefficient. (English) Zbl 1488.35556 Rep. Math. Phys. 87, No. 1, 59-79 (2021). MSC: 35R11 26A36 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Virendra On a general theorem connecting Laplace transform and generalized Weyl fractional integral operator involving Fox’s \(H\)-function and a general class of functions. (English) Zbl 1513.44005 J. Fract. Calc. Appl. 11, No. 2, 270-280 (2020). MSC: 44A10 26A33 33C65 × Cite Format Result Cite Review PDF Full Text: Link
Dernek, Nese; Bozkurt, Gülçin Some identities on fractional integrals and integral transforms. (English) Zbl 1488.26012 Hacet. J. Math. Stat. 49, No. 1, 8-18 (2020). MSC: 26A33 33C10 44A05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Angtuncio-Hernández, Osvaldo Multidimensional random walks conditioned to stay ordered via generalized ladder height functions. (English) Zbl 1473.60072 López, Sergio I. (ed.) et al., XIII symposium on probability and stochastic processes. Contributions and lecture notes, Universidad Nacional Autónoma de México, UNAM, México City, Mexico, December 4–8, 2017. Cham: Birkhäuser. Prog. Probab. 75, 39-65 (2020). MSC: 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noumi, Masatoshi On some explicit representations of the elliptic Painlevé equation. (English) Zbl 1464.37066 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 191-212 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 37J65 34M04 34M25 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Kaya, U. Cauchy fractional derivative. (English) Zbl 1453.26007 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 12, No. 4, 28-32 (2020). MSC: 26A33 30E20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Verma, Sandeep Kumar; Prasad, Akhilesh Characterization of Weyl operator in terms of Mehler-Fock transform. (English) Zbl 1464.44005 Math. Methods Appl. Sci. 43, No. 15, 9119-9128 (2020). MSC: 44A15 35A22 44A35 47G10 × Cite Format Result Cite Review PDF Full Text: DOI
Amour, L.; Jager, L.; Nourrigat, J. Compositions of states and observables in Fock spaces. (English) Zbl 1450.35308 Rev. Math. Phys. 32, No. 5, Article ID 2050012, 29 p. (2020). MSC: 35S05 35Q40 47G30 81Q20 47L80 26E15 28C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Dasgupta, Aparajita; Kumar, Vishvesh Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group. (English) Zbl 1445.47036 J. Math. Anal. Appl. 486, No. 2, Article ID 123936, 13 p. (2020). MSC: 47G30 43A30 47B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Negzaoui, Selma; Sifi, Mohamed On partial Fourier-Bessel operator in higher dimension. (English) Zbl 1442.42033 Integral Transforms Spec. Funct. 31, No. 6, 424-436 (2020). MSC: 42B10 33C10 33C70 × Cite Format Result Cite Review PDF Full Text: DOI
Wagner, Peter On the boundedness of the Weyl transform for homogeneous distributions on \(\mathbb{R}^2\). (English) Zbl 1506.47084 J. Pseudo-Differ. Oper. Appl. 11, No. 2, 657-674 (2020). Reviewer: Bojan Prangoski (Skopje) MSC: 47G30 46F10 × Cite Format Result Cite Review PDF Full Text: DOI
Saraceno, Marcos; Ozorio de Almeida, Alfredo M. Translations and reflections on the torus: identities for discrete Wigner functions and transforms. (English) Zbl 1505.81077 J. Phys. A, Math. Theor. 52, No. 9, Article ID 095301, 23 p. (2019). MSC: 81V19 81Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costa, F. S.; Oliveira, D. S.; Rodrigues, F. G.; de Oliveira, E. C. The fractional space-time radial diffusion equation in terms of the Fox’s \(H\)-function. (English) Zbl 1514.35456 Physica A 515, 403-418 (2019). MSC: 35R11 26A33 26A48 × Cite Format Result Cite Review PDF Full Text: DOI
Derakhshan, Mohammad Hossein; Ansari, Alireza Fractional Sturm-Liouville problems for Weber fractional derivatives. (English) Zbl 1499.34202 Int. J. Comput. Math. 96, No. 2, 217-237 (2019). MSC: 34B24 34L15 34L10 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, Rekha; Naaz, Humera; Kazi, Sabeena; Tassaddiq, Asifa Some new results involving the generalized Bose-Einstein and Fermi-Dirac functions. (English) Zbl 1432.30015 Axioms 8, No. 2, Paper No. 63, 12 p. (2019). MSC: 30C45 30C80 × Cite Format Result Cite Review PDF Full Text: DOI
Abdullah, M. Kh.; Kamyabi-Gol, R. A.; Janfada, M. Weyl transforms and the products of two wavelet multiplier operators on locally compact abelian topological groups. (English) Zbl 1429.43003 J. Pseudo-Differ. Oper. Appl. 10, No. 4, 793-804 (2019). MSC: 43A15 43A25 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Ortner, Norbert; Wagner, Peter On the Weyl transform for rotationally invariant symbols. (English) Zbl 07144057 J. Pseudo-Differ. Oper. Appl. 10, No. 4, 769-791 (2019). MSC: 47G30 81Q10 46F10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Qiuhui; Dang, Pei; Qian, Tao Spectra of rational orthonormal systems. (English) Zbl 1429.42005 Sci. China, Math. 62, No. 10, 1961-1976 (2019). Reviewer: Yamilet del Carmen Quintana Mato (Caracas) MSC: 42A38 44A15 62P30 94A20 42C05 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Arati, S.; Radha, R. Orthonormality of wavelet system on the Heisenberg group. (English. French summary) Zbl 1451.43002 J. Math. Pures Appl. (9) 131, 171-192 (2019). Reviewer: E. K. Narayanan (Bangalore) MSC: 43A30 42C40 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Molahajloo, Shahla; Wong, M. W. Discrete analogs of Wigner transforms and Weyl transforms. (English) Zbl 07121761 Molahajloo, Shahla (ed.) et al., Analysis of pseudo-differential operators. Based on the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 1-20 (2019). MSC: 47F05 47G30 × Cite Format Result Cite Review PDF Full Text: DOI
Hrivnák, Jiří; Motlochová, Lenka Dual-root lattice discretization of Weyl orbit functions. (English) Zbl 1429.33022 J. Fourier Anal. Appl. 25, No. 5, 2521-2569 (2019). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C52 65T50 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nefzi, Bochra Uncertainty principles for the \(q\)-Bessel Fourier transform. (English) Zbl 1454.33015 Integral Transforms Spec. Funct. 30, No. 11, 920-939 (2019). Reviewer: D. L. Suthar (Dessie) MSC: 33D15 44A20 42A38 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Poumai, Khole Timothy; Kaushik, S. K.; Mantry, Poonam Frame based reconstruction of signals in multirate implementation. (English) Zbl 1423.42056 Poincare J. Anal. Appl. 2019, No. 1, Spec. Iss., 31-52 (2019). MSC: 42C15 42C30 42C05 46B15 × Cite Format Result Cite Review PDF Full Text: Link
Teofanov, Nenad Continuity properties of multilinear localization operators on modulation spaces. (English) Zbl 1461.35258 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., 291-307 (2019). MSC: 35S05 47G30 46F05 44A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Defosseux, Manon Kirillov-Frenkel character formula for loop groups, radial part and Brownian sheet. (English) Zbl 1473.17065 Ann. Probab. 47, No. 2, 1036-1055 (2019). MSC: 17B67 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cahen, Benjamin Berezin-Weyl quantization of Heisenberg motion groups. (English) Zbl 1415.22011 Math. J. Okayama Univ. 61, 19-35 (2019). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22E45 22E70 22E20 81S10 81R30 × Cite Format Result Cite Review PDF
Radha, R.; Shravan Kumar, N. Weyl transform and Weyl multipliers associated with locally compact abelian groups. (English) Zbl 1440.43005 J. Pseudo-Differ. Oper. Appl. 9, No. 2, 229-245 (2018). MSC: 43A15 43A25 22B05 43A32 × Cite Format Result Cite Review PDF Full Text: DOI
Mezuman, Leanne; Yakovenko, Sergei Formal factorization of higher order irregular linear differential operators. (English) Zbl 1427.13033 Arnold Math. J. 4, No. 3-4, 279-299 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 13N10 16W25 34M03 34M25 13F25 14B05 12H05 12H20 14M25 14J17 32S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Jaeha; Tsutsui, Izumi A general framework of quasi-probabilities and the statistical behaviour of non-commuting quantum observables. (English) Zbl 1414.81029 Ozawa, Masanao (ed.) et al., Reality and measurement in algebraic quantum theory. NWW 2015, Nagoya, Japan, March 9–13, 2015. Selected papers based on presentations at the Nagoya winter workshop 2015: reality and measurement in algebraic quantum theory. Singapore: Springer. Springer Proc. Math. Stat. 261, 195-228 (2018). MSC: 81P05 81S30 81P15 81P40 81S05 × Cite Format Result Cite Review PDF Full Text: DOI
Bland, John; Burns, Dan; Leung, Kin-Kwan A twistor transform for the Kobayashi metric on a convex domain. (English) Zbl 1404.32022 Byun, Jisoo (ed.) et al., Geometric complex analysis. In honor of Kang-Tae Kim’s 60th birthday, Gyeongju, Korea, 2017. Selected papers based on the presentations at the 11th and 12th Korean conferences on several complex variables, KSCV 11 symposium and KSCV 12 symposium, July 4–8, 2016 and July 3–7, 2017. Singapore: Springer (ISBN 978-981-13-1671-5/hbk; 978-981-13-1672-2/ebook). Springer Proceedings in Mathematics & Statistics 246, 55-72 (2018). MSC: 32F45 32F17 32L25 × Cite Format Result Cite Review PDF Full Text: DOI
Nefzi, Bochra; Brahim, Kamel Calderón’s reproducing formula and uncertainty principle for the continuous wavelet transform associated with the \(q\)-Bessel operator. (English) Zbl 1402.42007 J. Pseudo-Differ. Oper. Appl. 9, No. 3, 495-522 (2018). Reviewer: Boris Rubin (Baton Rouge) MSC: 42A38 44A20 42B10 33B15 33D05 × Cite Format Result Cite Review PDF Full Text: DOI
Azam, M. K.; Zafar, Fiza; Rehman, M. A.; Ahmad, F.; Qaisar, Shahid Study of extended Weyl \(k\)-fractional integral via Chebyshev inequalities. (English) Zbl 1396.26010 Ital. J. Pure Appl. Math. 39, 771-782 (2018). MSC: 26A33 × Cite Format Result Cite Review PDF Full Text: Link
Fink, Alex; Mészáros, Karola; Dizier, Avery St. Schubert polynomials as integer point transforms of generalized permutahedra. (English) Zbl 1443.05179 Adv. Math. 332, 465-475 (2018). MSC: 05E05 05E10 14M15 14N15 05B35 52B40 20C30 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Partha Sarathi, Patra; Sivaramakrishnan, C.; Naidu, D. Venku Benedicks’ theorem for the Weyl transform associated with the Heisenberg group. (English) Zbl 1432.43005 Integral Transforms Spec. Funct. 29, No. 6, 442-449 (2018). MSC: 43A80 46E25 20C20 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Molahajloo, Shahla Pseudo-differential operators, Wigner transforms and Weyl transforms on the Poincaré unit disk. (English) Zbl 1466.47034 Complex Anal. Oper. Theory 12, No. 3, 811-833 (2018). MSC: 47G30 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Malikiosis, Romanos-Diogenes Spark deficient Gabor frames. (English) Zbl 1380.42027 Pac. J. Math. 294, No. 1, 159-180 (2018). MSC: 42C15 15A03 11E95 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mann, Ady; Mello, Pier A.; Revzen, Michael A family of Weyl-Wigner transforms for discrete variables defined in a finite-dimensional Hilbert space. (English) Zbl 1386.81109 Quantum Stud. Math. Found. 4, No. 1, 89-101 (2017). MSC: 81S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaurasia, V. B. L.; Gill, Vinod Extension of integral equations of Fredholm type involving special functions. (English) Zbl 1392.45004 Thai J. Math. 15, No. 2, 491-501 (2017). MSC: 45B05 × Cite Format Result Cite Review PDF Full Text: Link
Mogilevskii, Vadim Spectral and pseudospectral functions of various dimensions for symmetric systems. (English. Ukrainian original) Zbl 1433.34037 J. Math. Sci., New York 221, No. 5, 679-711 (2017); translation from Ukr. Mat. Visn. 13, No. 2, 224-269 (2016). MSC: 34B08 34B05 34B20 47A06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chefai, Soumaya Windowed Bessel Fourier transform in quantum calculus and applications. (English) Zbl 1379.33024 J. Pseudo-Differ. Oper. Appl. 8, No. 4, 723-749 (2017). MSC: 33D15 42B10 30C45 × Cite Format Result Cite Review PDF Full Text: DOI
Ben-Benjamin, Jonathan S.; Kim, Moochan B.; Schleich, Wolfgang P.; Case, William B.; Cohen, Leon Working in phase-space with Wigner and Weyl. (English) Zbl 1371.81197 Fortschr. Phys. 65, No. 6-8, 1600092, 11 p. (2017). MSC: 81S30 81S05 81-02 × Cite Format Result Cite Review PDF Full Text: DOI
Chettaoui, Chirine; Hassini, Amina; Trimèche, Khalifa The hypergeometric Wigner and Weyl transforms attached to the Cherednik operators in the \(\mathrm{W}\)-invariant case. (English) Zbl 1390.33029 Integral Transforms Spec. Funct. 28, No. 9, 663-681 (2017). MSC: 33C67 33E30 43A32 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Dasgupta, Aparajita; Wong, M. W. Pseudo-differential operators on the affine group. (English) Zbl 1377.47018 Wong, M.-W. (ed.) et al., Pseudo-differential operators: groups, geometry and applications. Selected papers based on the presentations at the 10th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), University of Macau, China, August 3–8, 2015 and the 8th international congress on industrial and applied mathematics, ICIAM, Beijing, China, August 10–14, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-47511-0/hbk; 978-3-319-47512-7/ebook). Trends in Mathematics, 1-14 (2017). MSC: 47G30 43A70 43A25 × Cite Format Result Cite Review PDF Full Text: DOI
de Gosson, Maurice The Wigner transform. (English) Zbl 1372.81009 Advanced Textbooks in Mathematics. Hackensack, NJ: World Scientific (ISBN 978-1-78634-308-6/hbk; 978-1-78634-309-3/pbk). xx, 229 p. (2017). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81-02 81S30 00A79 46L65 81S10 53D55 32W25 35S05 46F10 46N50 37N20 × Cite Format Result Cite Review PDF Full Text: DOI