Dasgupta, Aparajita; Nayak, Santosh Kumar Localization operator and Weyl transform on reduced Heisenberg group with multidimensional center. (English) Zbl 07783353 J. Math. Phys. 64, No. 12, Article ID 123506, 20 p. (2023). MSC: 47G30 43A80 35S05 22E30 47G10 PDFBibTeX XMLCite \textit{A. Dasgupta} and \textit{S. K. Nayak}, J. Math. Phys. 64, No. 12, Article ID 123506, 20 p. (2023; Zbl 07783353) Full Text: DOI arXiv
Rana, Tapendu; Rano, Sumit Kumar \(L^p\)-boundedness of pseudo-differential operators on homogeneous trees. (English) Zbl 07762694 Stud. Math. 272, No. 3, 221-244 (2023). MSC: 47G30 43A85 39A12 20E08 PDFBibTeX XMLCite \textit{T. Rana} and \textit{S. K. Rano}, Stud. Math. 272, No. 3, 221--244 (2023; Zbl 07762694) Full Text: DOI arXiv
Kumar, Vishvesh; Mondal, Shyam Swarup \(L^2\)-\(L^p\) estimates and Hilbert-Schmidt pseudo differential operators on the Heisenberg motion group. (English) Zbl 1523.35315 Appl. Anal. 102, No. 13, 3533-3548 (2023). MSC: 35S05 35R03 22E45 43A80 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{S. S. Mondal}, Appl. Anal. 102, No. 13, 3533--3548 (2023; Zbl 1523.35315) Full Text: DOI
Pusti, Sanjoy; Rana, Tapendu \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type. (English) Zbl 07729258 Math. Z. 305, No. 1, Paper No. 2, 34 p. (2023). MSC: 43A85 22E30 47G30 PDFBibTeX XMLCite \textit{S. Pusti} and \textit{T. Rana}, Math. Z. 305, No. 1, Paper No. 2, 34 p. (2023; Zbl 07729258) Full Text: DOI arXiv
Wu, Xinfeng; Chang, Der-Chen; Han, Yongsheng Estimates of Cauchy-Szegő kernel in Hardy spaces on nilpotent Lie groups of step two. (English) Zbl 1525.43007 Alpay, Daniel (ed.) et al., Recent developments in operator theory, mathematical physics and complex analysis. Proceedings of the 32nd international workshop on operator theory and its applications, IWOTA 2021, Chapman University, Orange, CA, USA, August 9–13, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 290, 389-420 (2023). MSC: 43A80 22E30 PDFBibTeX XMLCite \textit{X. Wu} et al., Oper. Theory: Adv. Appl. 290, 389--420 (2023; Zbl 1525.43007) Full Text: DOI
Mondal, Shyam Swarup Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups. (English) Zbl 07557625 Complex Var. Elliptic Equ. 67, No. 8, 1991-2010 (2022). MSC: 47F05 47G30 43A85 PDFBibTeX XMLCite \textit{S. S. Mondal}, Complex Var. Elliptic Equ. 67, No. 8, 1991--2010 (2022; Zbl 07557625) Full Text: DOI
Mondal, Shyam Swarup Boundedness and nuclearity of pseudo-differential operators on homogeneous trees. (English) Zbl 07541278 Anal. Math. Phys. 12, No. 3, Paper No. 84, 27 p. (2022). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 47G30 39A12 43A85 20E08 PDFBibTeX XMLCite \textit{S. S. Mondal}, Anal. Math. Phys. 12, No. 3, Paper No. 84, 27 p. (2022; Zbl 07541278) Full Text: DOI arXiv
Prasad, Akhilesh; Sharma, P. B. Pseudo-differential operator associated with quadratic-phase Fourier transform. (English) Zbl 1501.46040 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 37, 14 p. (2022). MSC: 46F12 43A32 35S05 47G30 46E35 44A35 47F05 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{P. B. Sharma}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 37, 14 p. (2022; Zbl 1501.46040) Full Text: DOI
Kumar, Vishvesh; Mondal, Shyam Swarup Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups. (English) Zbl 1481.35423 Monatsh. Math. 197, No. 1, 149-176 (2022). MSC: 35S05 47G30 43A85 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{S. S. Mondal}, Monatsh. Math. 197, No. 1, 149--176 (2022; Zbl 1481.35423) Full Text: DOI arXiv
Bruno, Tommaso; Peloso, Marco M.; Vallarino, Maria Potential spaces on Lie groups. (English) Zbl 1490.46029 Ciatti, Paolo (ed.) et al., Geometric aspects of harmonic analysis. Proceedings of the INdAM meeting, Cortona, Italy, June 25–29, 2018. Cham: Springer. Springer INdAM Ser. 45, 149-192 (2021). MSC: 46E35 22E30 43A15 PDFBibTeX XMLCite \textit{T. Bruno} et al., Springer INdAM Ser. 45, 149--192 (2021; Zbl 1490.46029) Full Text: DOI arXiv Link
Prasad, Akhilesh; Ansari, Z. A.; Jain, Pankaj Pseudo-differential operator in the framework of linear canonical transform domain. (English) Zbl 1487.46040 Asian-Eur. J. Math. 14, No. 7, Article ID 2150117, 18 p. (2021). MSC: 46F12 43A32 46F05 47G30 35S05 53D22 46E35 PDFBibTeX XMLCite \textit{A. Prasad} et al., Asian-Eur. J. Math. 14, No. 7, Article ID 2150117, 18 p. (2021; Zbl 1487.46040) Full Text: DOI
Folland, Gerald B. The Heisenberg group and its relatives in the work of Elias M. Stein. (English) Zbl 1482.43011 J. Geom. Anal. 31, No. 7, 6681-6697 (2021). MSC: 43A80 32V20 35B65 42B20 42B37 PDFBibTeX XMLCite \textit{G. B. Folland}, J. Geom. Anal. 31, No. 7, 6681--6697 (2021; Zbl 1482.43011) Full Text: DOI
Kumar, Vishvesh; Mondal, Shyam Swarup Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups. (English) Zbl 1471.35350 Bull. Sci. Math. 171, Article ID 103015, 21 p. (2021). MSC: 35S05 47G30 22E25 43A80 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{S. S. Mondal}, Bull. Sci. Math. 171, Article ID 103015, 21 p. (2021; Zbl 1471.35350) Full Text: DOI
Mondal, Shyam Swarup; Kumar, Vishvesh Self-adjointness and compactness of operators related to finite measure spaces. (English) Zbl 1514.47059 Complex Anal. Oper. Theory 15, No. 2, Paper No. 22, 31 p. (2021). MSC: 47B38 47G30 43A85 35S05 PDFBibTeX XMLCite \textit{S. S. Mondal} and \textit{V. Kumar}, Complex Anal. Oper. Theory 15, No. 2, Paper No. 22, 31 p. (2021; Zbl 1514.47059) Full Text: DOI
Boggess, Albert; Raich, Andrew The fundamental solution to \(\Box_b\) on quadric manifolds. II: \(L^p\) regularity and invariant normal forms. (English) Zbl 1464.32060 Complex Anal. Synerg. 6, No. 2, Paper No. 13, 19 p. (2020). MSC: 32W10 35R03 32V20 42B37 43A80 PDFBibTeX XMLCite \textit{A. Boggess} and \textit{A. Raich}, Complex Anal. Synerg. 6, No. 2, Paper No. 13, 19 p. (2020; Zbl 1464.32060) Full Text: DOI
Kumar, Vishvesh; Mondal, Shyam Swarup Nuclearity of operators related to finite measure spaces. (English) Zbl 1497.47065 J. Pseudo-Differ. Oper. Appl. 11, No. 3, 1031-1058 (2020). MSC: 47F05 47G30 43A85 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{S. S. Mondal}, J. Pseudo-Differ. Oper. Appl. 11, No. 3, 1031--1058 (2020; Zbl 1497.47065) Full Text: DOI Link
Kumar, Vishvesh Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups. (English) Zbl 1419.35267 Forum Math. 31, No. 2, 275-282 (2019). Reviewer: Leszek Skrzypczak (Poznań) MSC: 35S05 47G30 43A85 43A77 35R03 PDFBibTeX XMLCite \textit{V. Kumar}, Forum Math. 31, No. 2, 275--282 (2019; Zbl 1419.35267) Full Text: DOI Link
Sabitbek, Bolys; Suragan, Durvudkhan On Green functions for Dirichelet sub-Laplacians on a quaternion Heisenberg group. (English) Zbl 1406.22009 Math. Model. Nat. Phenom. 13, No. 4, Paper No. 39, 14 p. (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 22E30 43A80 PDFBibTeX XMLCite \textit{B. Sabitbek} and \textit{D. Suragan}, Math. Model. Nat. Phenom. 13, No. 4, Paper No. 39, 14 p. (2018; Zbl 1406.22009) Full Text: DOI
Folland, G. B. Some topics in the history of harmonic analysis in the twentieth century. (English) Zbl 1391.42002 Indian J. Pure Appl. Math. 48, No. 1, 1-58 (2017). Reviewer: Radoslav M. Dimitrić (New York) MSC: 42-03 43-03 01A60 PDFBibTeX XMLCite \textit{G. B. Folland}, Indian J. Pure Appl. Math. 48, No. 1, 1--58 (2017; Zbl 1391.42002) Full Text: DOI
Martini, Alessio Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres. (English) Zbl 1375.42006 Math. Z. 286, No. 3-4, 1539-1574 (2017). MSC: 42B15 43A85 32V20 PDFBibTeX XMLCite \textit{A. Martini}, Math. Z. 286, No. 3--4, 1539--1574 (2017; Zbl 1375.42006) Full Text: DOI arXiv
Jacob, Niels Book review of: Lars Hörmander, The analysis of linear partial differential operators I–IV. (English) Zbl 1305.00037 Jahresber. Dtsch. Math.-Ver. 116, No. 3, 171-181 (2014). MSC: 00A17 35-02 42-02 43-02 46-02 35A22 35B40 35A01 35A02 35L99 42Bxx 46Fxx PDFBibTeX XMLCite \textit{N. Jacob}, Jahresber. Dtsch. Math.-Ver. 116, No. 3, 171--181 (2014; Zbl 1305.00037) Full Text: DOI
Molahajloo, Shahla; Pirhayati, Mohammad Traces of pseudo-differential operators on compact and Hausdorff groups. (English) Zbl 1322.47048 J. Pseudo-Differ. Oper. Appl. 4, No. 3, 361-369 (2013). Reviewer: Luigi Rodino (Torino) MSC: 47G30 22A10 43A77 22C05 35S05 PDFBibTeX XMLCite \textit{S. Molahajloo} and \textit{M. Pirhayati}, J. Pseudo-Differ. Oper. Appl. 4, No. 3, 361--369 (2013; Zbl 1322.47048) Full Text: DOI
Măntoiu, Marius; Purice, Radu Abstract composition laws and their modulation spaces. (English) Zbl 1259.35234 J. Pseudo-Differ. Oper. Appl. 3, No. 3, 283-307 (2012). MSC: 35S05 42B35 43A32 PDFBibTeX XMLCite \textit{M. Măntoiu} and \textit{R. Purice}, J. Pseudo-Differ. Oper. Appl. 3, No. 3, 283--307 (2012; Zbl 1259.35234) Full Text: DOI arXiv
Della Sala, Giuseppe; Perez, Joe J. Unitary representations of unimodular Lie groups in Bergman spaces. (English) Zbl 1254.43001 Math. Z. 272, No. 1-2, 483-496 (2012). Reviewer: Vasily A. Chernecky (Odessa) MSC: 43-06 32W05 43A65 PDFBibTeX XMLCite \textit{G. Della Sala} and \textit{J. J. Perez}, Math. Z. 272, No. 1--2, 483--496 (2012; Zbl 1254.43001) Full Text: DOI arXiv
Krantz, Steven G. Normed domains of holomorphy. (English) Zbl 1196.32009 Int. J. Math. Math. Sci. 2010, Article ID 648597, 18 p. (2010). Reviewer: Eugen Pascu (Montréal) MSC: 32D15 32D05 32E10 32A07 32A38 32A50 43A15 32F17 PDFBibTeX XMLCite \textit{S. G. Krantz}, Int. J. Math. Math. Sci. 2010, Article ID 648597, 18 p. (2010; Zbl 1196.32009) Full Text: DOI arXiv EuDML
Street, Brian An algebra containing the two-sided convolution operators. (English) Zbl 1148.43009 Adv. Math. 219, No. 1, 251-315 (2008). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A85 47G10 PDFBibTeX XMLCite \textit{B. Street}, Adv. Math. 219, No. 1, 251--315 (2008; Zbl 1148.43009) Full Text: DOI arXiv
Ruzhansky, Michael; Turunen, Ville On pseudo-differential operators on group \(SU(2)\). (English) Zbl 1220.43002 Rodino, Luigi (ed.) et al., New developments in pseudo-differential operators. Selected papers of the 6th congress of the International Society for Analysis, its Applications and Computation (ISAAC), the ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8968-0/hbk). Operator Theory: Advances and Applications 189, 307-322 (2009). Reviewer: Lubomira Softova (Aversa) MSC: 43A75 43A65 35S05 22E30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{V. Turunen}, Oper. Theory: Adv. Appl. 189, 307--322 (2007; Zbl 1220.43002) Full Text: DOI arXiv
Bonfiglioli, A.; Uguzzoni, F. Nonlinear Liouville theorems for some critical problems on \(H\)-type groups. (English) Zbl 1045.35018 J. Funct. Anal. 207, No. 1, 161-215 (2004). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35H20 43A80 35B33 35J70 PDFBibTeX XMLCite \textit{A. Bonfiglioli} and \textit{F. Uguzzoni}, J. Funct. Anal. 207, No. 1, 161--215 (2004; Zbl 1045.35018) Full Text: DOI
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
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio On the solvability of homogeneous left-invariant differential operators on the Heisenberg group. (English) Zbl 0887.43004 J. Funct. Anal. 148, No. 2, 368-383 (1997). Reviewer: R.Felix (Eichstätt) MSC: 43A80 22E30 35A07 35A08 PDFBibTeX XMLCite \textit{D. Müller} et al., J. Funct. Anal. 148, No. 2, 368--383 (1997; Zbl 0887.43004) Full Text: DOI
Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry Pseudodifferential operators on groups with dilations. (English) Zbl 0764.35120 Duke Math. J. 68, No. 1, 31-65 (1992). Reviewer: B.Helffer (Paris) MSC: 35S30 43A30 42A38 PDFBibTeX XMLCite \textit{M. Christ} et al., Duke Math. J. 68, No. 1, 31--65 (1992; Zbl 0764.35120) 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
Jerison, David S. The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II. (English) Zbl 0493.58022 J. Funct. Anal. 43, 224-257 (1981). MSC: 58J32 58J40 43A80 35J70 58J10 PDFBibTeX XMLCite \textit{D. S. Jerison}, J. Funct. Anal. 43, 224--257 (1981; Zbl 0493.58022) Full Text: DOI
Jerison, David S. The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I. (English) Zbl 0493.58021 J. Funct. Anal. 43, 97-142 (1981). MSC: 58J32 58J40 43A80 35J70 58J10 PDFBibTeX XMLCite \textit{D. S. Jerison}, J. Funct. Anal. 43, 97--142 (1981; Zbl 0493.58021) Full Text: DOI
Rothschild, Linda Preiss; Tartakoff, David S. Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent Lie groups. (English) Zbl 0477.58032 Commun. Partial Differ. Equations 6, 625-650 (1981). MSC: 58J10 43A80 22E27 PDFBibTeX XMLCite \textit{L. P. Rothschild} and \textit{D. S. Tartakoff}, Commun. Partial Differ. Equations 6, 625--650 (1981; Zbl 0477.58032) 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
Geller, Daryl Fourier analysis on the Heisenberg group. I. Schwartz space. (English) Zbl 0433.43008 J. Funct. Anal. 36, 205-254 (1980). MSC: 43A80 22E30 43A17 43A25 46E10 PDFBibTeX XMLCite \textit{D. Geller}, J. Funct. Anal. 36, 205--254 (1980; Zbl 0433.43008) Full Text: DOI
Folland, G. B. Applications of analysis on nilpotent groups to partial differential equations. (English) Zbl 0371.35008 Bull. Am. Math. Soc. 83, 912-930 (1977). MSC: 35H10 22E25 22E30 43A80 35N15 PDFBibTeX XMLCite \textit{G. B. Folland}, Bull. Am. Math. Soc. 83, 912--930 (1977; Zbl 0371.35008) Full Text: DOI
Folland, G. B. Subelliptic estimates and function spaces on nilpotent Lie groups. (English) Zbl 0312.35026 Ark. Mat. 13, 161-207 (1975). MSC: 35H10 26A16 35D10 22E30 43A80 46E35 PDFBibTeX XMLCite \textit{G. B. Folland}, Ark. Mat. 13, 161--207 (1975; Zbl 0312.35026) Full Text: DOI
Jørgensen, Palle E. T. Representations of differential operators on a Lie group. (English) Zbl 0311.43003 J. Funct. Anal. 20, 105-135 (1975). MSC: 43A15 47B25 65H10 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, J. Funct. Anal. 20, 105--135 (1975; Zbl 0311.43003) Full Text: DOI
Hulanicki, A. Commutative subalgebra of \(L^1(G)\) associated with a subelliptic operator on a Lie group \(G\). (English) Zbl 0311.22010 Bull. Am. Math. Soc. 81, 121-124 (1975). MSC: 22E25 22D15 43A80 46J20 43A15 PDFBibTeX XMLCite \textit{A. Hulanicki}, Bull. Am. Math. Soc. 81, 121--124 (1975; Zbl 0311.22010) Full Text: DOI
Stein, Elias M. Singular integrals and estimates for the Cauchy-Riemann equations. (English) Zbl 0257.35040 Bull. Am. Math. Soc. 79, 440-445 (1973). MSC: 35J67 32A10 43A80 35N15 PDFBibTeX XMLCite \textit{E. M. Stein}, Bull. Am. Math. Soc. 79, 440--445 (1973; Zbl 0257.35040) Full Text: DOI
Folland, G. B. A fundamental solution for a subelliptic operator. (English) Zbl 0256.35020 Bull. Am. Math. Soc. 79, 373-376 (1973). MSC: 35H10 35C05 35B45 43A80 42B25 PDFBibTeX XMLCite \textit{G. B. Folland}, Bull. Am. Math. Soc. 79, 373--376 (1973; Zbl 0256.35020) Full Text: DOI
Folland, G. B. The tangential Cauchy-Riemann complex on spheres. (English) Zbl 0249.35013 Trans. Am. Math. Soc. 171, 83-133 (1972). MSC: 35H10 35N15 33C10 33C55 43A75 PDFBibTeX XMLCite \textit{G. B. Folland}, Trans. Am. Math. Soc. 171, 83--133 (1972; Zbl 0249.35013) Full Text: DOI