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 PDF BibTeX XML Cite \textit{V. V. Kisil}, Ann. Funct. Anal. 14, No. 2, Paper No. 38, 57 p. (2023; Zbl 07661354) Full Text: DOI arXiv OpenURL
Toft, Joachim; Gumber, Anupam Fourier characterizations of Pilipović spaces. (English) Zbl 07616874 J. Funct. Anal. 284, No. 1, Article ID 109724, 25 p. (2023). Reviewer: Rüdiger W. Braun (Düsseldorf) MSC: 46F05 43A32 PDF BibTeX XML Cite \textit{J. Toft} and \textit{A. Gumber}, J. Funct. Anal. 284, No. 1, Article ID 109724, 25 p. (2023; Zbl 07616874) Full Text: DOI arXiv OpenURL
Williams, Cameron L. Segal-Bargmann transforms associated to a family of coupled supersymmetries. (English) Zbl 07597811 Complex Anal. Oper. Theory 16, No. 6, Paper No. 94, 22 p. (2022). MSC: 17B15 44A05 46E22 81R30 33C10 PDF BibTeX XML Cite \textit{C. L. Williams}, Complex Anal. Oper. Theory 16, No. 6, Paper No. 94, 22 p. (2022; Zbl 07597811) Full Text: DOI arXiv OpenURL
Nicola, Fabio; Tilli, Paolo The Faber-Krahn inequality for the short-time Fourier transform. (English) Zbl 1497.42024 Invent. Math. 230, No. 1, 1-30 (2022). MSC: 42B10 94A12 81S30 26D10 PDF BibTeX XML Cite \textit{F. Nicola} and \textit{P. Tilli}, Invent. Math. 230, No. 1, 1--30 (2022; Zbl 1497.42024) Full Text: DOI arXiv OpenURL
Al Ameer, Amerah A.; Kisil, Vladimir V. Tuning co- and contra-variant transforms: the Heisenberg group illustration. (English) Zbl 07584799 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 065, 21 p. (2022). MSC: 43A65 43A32 43A80 81R30 PDF BibTeX XML Cite \textit{A. A. Al Ameer} and \textit{V. V. Kisil}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 065, 21 p. (2022; Zbl 07584799) Full Text: DOI arXiv OpenURL
Ghanmi, Allal On dual transform of fractional Hankel transform. (English) Zbl 1502.44003 Complex Var. Elliptic Equ. 67, No. 8, 1873-1893 (2022). MSC: 44A20 30G35 30H20 47B38 30H10 PDF BibTeX XML Cite \textit{A. Ghanmi}, Complex Var. Elliptic Equ. 67, No. 8, 1873--1893 (2022; Zbl 1502.44003) Full Text: DOI arXiv OpenURL
Ghanmi, Allal; Snoun, Safa Integral representations of Bargmann type for the \(\beta \)-modified Bergman space on punctured unit disc. (English) Zbl 1492.30107 Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1367-1381 (2022). MSC: 30H20 46E22 44A20 PDF BibTeX XML Cite \textit{A. Ghanmi} and \textit{S. Snoun}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1367--1381 (2022; Zbl 1492.30107) Full Text: DOI OpenURL
Mouayn, Zouhaïr; El Moize, Othmane A set of \(q\)-coherent states for the Rogers-Szegő oscillator. (English) Zbl 1483.81090 Lett. Math. Phys. 111, No. 6, Paper No. 143, 20 p. (2021). MSC: 81R50 81R30 44A15 46E22 32C81 05A30 33D45 PDF BibTeX XML Cite \textit{Z. Mouayn} and \textit{O. El Moize}, Lett. Math. Phys. 111, No. 6, Paper No. 143, 20 p. (2021; Zbl 1483.81090) Full Text: DOI arXiv OpenURL
Jaming, Philippe; Speckbacher, Michael Planar sampling sets for the short-time Fourier transform. (English) Zbl 1466.42007 Constr. Approx. 53, No. 3, 479-502 (2021). MSC: 42B10 46E15 46E20 42C15 PDF BibTeX XML Cite \textit{P. Jaming} and \textit{M. Speckbacher}, Constr. Approx. 53, No. 3, 479--502 (2021; Zbl 1466.42007) Full Text: DOI arXiv OpenURL
De Martino, Antonino; Diki, Kamal On the quaternionic short-time Fourier and Segal-Bargmann transforms. (English) Zbl 1471.44005 Mediterr. J. Math. 18, No. 3, Paper No. 110, 22 p. (2021). MSC: 44A15 30G35 42C15 PDF BibTeX XML Cite \textit{A. De Martino} and \textit{K. Diki}, Mediterr. J. Math. 18, No. 3, Paper No. 110, 22 p. (2021; Zbl 1471.44005) Full Text: DOI arXiv OpenURL
Ahbli, K.; Kassogué, H.; Kayupe Kikodio, P.; Kouraich, A. A new generalization of nonlinear coherent states for the pseudoharmonic oscillator. (English) Zbl 1459.81062 Anal. Math. Phys. 11, No. 2, Paper No. 62, 23 p. (2021). MSC: 81R30 47G40 44A20 PDF BibTeX XML Cite \textit{K. Ahbli} et al., Anal. Math. Phys. 11, No. 2, Paper No. 62, 23 p. (2021; Zbl 1459.81062) Full Text: DOI arXiv OpenURL
Zheng, Jiahong Boundedness of Bargmann transformations on high-dimensional spaces. (Chinese. English summary) Zbl 1463.44007 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 4, 647-651 (2020). MSC: 44A15 32A37 PDF BibTeX XML Cite \textit{J. Zheng}, J. Sichuan Univ., Nat. Sci. Ed. 57, No. 4, 647--651 (2020; Zbl 1463.44007) Full Text: DOI OpenURL
Toft, Joachim Paley-Wiener properties for spaces of power series expansions. (English) Zbl 1465.46044 Complex Var. Elliptic Equ. 65, No. 10, 1698-1716 (2020). Reviewer: Nenad Teofanov (Novi Sad) MSC: 46F05 32A15 42B10 PDF BibTeX XML Cite \textit{J. Toft}, Complex Var. Elliptic Equ. 65, No. 10, 1698--1716 (2020; Zbl 1465.46044) Full Text: DOI arXiv OpenURL
Benahmadi, Abdelhadi; Ghanmi, Allal Dual of 2D fractional Fourier transform associated to Itô-Hermite polynomials. (English) Zbl 1473.44005 Result. Math. 75, No. 4, Paper No. 168, 11 p. (2020). Reviewer: D. L. Suthar (Dessie) MSC: 44A20 33C45 33C47 42B10 32A36 PDF BibTeX XML Cite \textit{A. Benahmadi} and \textit{A. Ghanmi}, Result. Math. 75, No. 4, Paper No. 168, 11 p. (2020; Zbl 1473.44005) Full Text: DOI arXiv OpenURL
El Gourari, A.; Ghanmi, A.; Zine, K. On bicomplex Fourier-Wigner transforms. (English) Zbl 1446.30076 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 3, Article ID 2050008, 16 p. (2020). MSC: 30G35 44A15 PDF BibTeX XML Cite \textit{A. El Gourari} et al., Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 3, Article ID 2050008, 16 p. (2020; Zbl 1446.30076) Full Text: DOI arXiv OpenURL
Benahmadi, Abdelhadi; Ghanmi, Allal; El Ainin, Mohammed Souid A special orthogonal complement basis for holomorphic-Hermite functions and associated \(1d\)- and \(2d\)-fractional Fourier transforms. (English) Zbl 1442.42061 Integral Transforms Spec. Funct. 31, No. 6, 471-486 (2020). MSC: 42C05 33C45 46E22 46E20 65R10 42A38 42B10 PDF BibTeX XML Cite \textit{A. Benahmadi} et al., Integral Transforms Spec. Funct. 31, No. 6, 471--486 (2020; Zbl 1442.42061) Full Text: DOI OpenURL
Nabizadeh, Elmira; Pfeuffer, Christine; Toft, Joachim Paley-Wiener properties for spaces of entire functions. (English) Zbl 1455.46043 Anal. Math. Phys. 10, No. 2, Paper No. 20, 34 p. (2020). Reviewer: Nenad Teofanov (Novi Sad) MSC: 46F05 46F12 32A25 32A36 30G99 PDF BibTeX XML Cite \textit{E. Nabizadeh} et al., Anal. Math. Phys. 10, No. 2, Paper No. 20, 34 p. (2020; Zbl 1455.46043) Full Text: DOI arXiv OpenURL
Chihara, Hiroyuki Bargmann-type transforms and modified harmonic oscillators. (English) Zbl 1496.33007 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1719-1740 (2020). MSC: 33C45 35S30 PDF BibTeX XML Cite \textit{H. Chihara}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1719--1740 (2020; Zbl 1496.33007) Full Text: DOI arXiv OpenURL
Ali, S. Twareque; Mouayn, Zouhaïr; Ahbli, Khalid Nonlinear coherent states associated with a measure on the positive real half line. (English) Zbl 1436.81065 Complex Anal. Oper. Theory 14, No. 1, Paper No. 24, 28 p. (2020). MSC: 81R30 35A22 33C45 PDF BibTeX XML Cite \textit{S. T. Ali} et al., Complex Anal. Oper. Theory 14, No. 1, Paper No. 24, 28 p. (2020; Zbl 1436.81065) Full Text: DOI arXiv OpenURL
Chan, Alice Z. The Segal-Bargmann transform on classical matrix Lie groups. (English) Zbl 1433.22006 J. Funct. Anal. 278, No. 9, Article ID 108430, 59 p. (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 22E30 43A32 35K08 PDF BibTeX XML Cite \textit{A. Z. Chan}, J. Funct. Anal. 278, No. 9, Article ID 108430, 59 p. (2020; Zbl 1433.22006) Full Text: DOI arXiv Link OpenURL
Cao, Guangfu; Li, Ji; Shen, Minxing; Wick, Brett D.; Yan, Lixin A boundedness criterion for singular integral operators of convolution type on the Fock space. (English) Zbl 1437.32001 Adv. Math. 363, Article ID 107001, 33 p. (2020). Reviewer: Haixia Yu (Beijing) MSC: 32A37 42B20 44A15 PDF BibTeX XML Cite \textit{G. Cao} et al., Adv. Math. 363, Article ID 107001, 33 p. (2020; Zbl 1437.32001) Full Text: DOI arXiv OpenURL
Driver, Bruce K.; Hall, Brian C.; Kemp, Todd The complex-time Segal-Bargmann transform. (English) Zbl 1427.43008 J. Funct. Anal. 278, No. 1, Article ID 108303, 42 p. (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 43A32 35K08 22E30 PDF BibTeX XML Cite \textit{B. K. Driver} et al., J. Funct. Anal. 278, No. 1, Article ID 108303, 42 p. (2020; Zbl 1427.43008) Full Text: DOI arXiv OpenURL
Zhu, Kehe Towards a dictionary for the Bargmann transform. (English) Zbl 1429.30053 Zhu, Kehe (ed.), Handbook of analytic operator theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 319-349 (2019). MSC: 30H20 46E20 42A38 42B10 PDF BibTeX XML Cite \textit{K. Zhu}, in: Handbook of analytic operator theory. Boca Raton, FL: CRC Press. 319--349 (2019; Zbl 1429.30053) Full Text: arXiv OpenURL
Benahmadi, Abdelhadi; Ghanmi, Allal Non-trivial 1d and 2d Segal-Bargmann transforms. (English) Zbl 1409.44001 Integral Transforms Spec. Funct. 30, No. 7, 547-563 (2019). MSC: 44A15 35A22 33C45 42C05 42A38 32A10 PDF BibTeX XML Cite \textit{A. Benahmadi} and \textit{A. Ghanmi}, Integral Transforms Spec. Funct. 30, No. 7, 547--563 (2019; Zbl 1409.44001) Full Text: DOI OpenURL
Benahmadi, Abdelhadi; Diki, Kamal; Ghanmi, Allal Composition of Segal-Bargmann transforms. (English) Zbl 1411.44002 Complex Var. Elliptic Equ. 64, No. 6, 950-964 (2019). MSC: 44A15 32A17 32A10 PDF BibTeX XML Cite \textit{A. Benahmadi} et al., Complex Var. Elliptic Equ. 64, No. 6, 950--964 (2019; Zbl 1411.44002) Full Text: DOI arXiv OpenURL
Cao, Guangfu; He, Li; Hou, Shengzhao The Bargmann transform on \(L^p(\mathbb{R})\). (English) Zbl 1447.42009 J. Math. Anal. Appl. 468, No. 2, 642-649 (2018). MSC: 42B10 05B35 PDF BibTeX XML Cite \textit{G. Cao} et al., J. Math. Anal. Appl. 468, No. 2, 642--649 (2018; Zbl 1447.42009) Full Text: DOI OpenURL
Arjika, Sama; El Moize, Othmane; Mouayn, Zouhaïr A \(q\)-deformation of the true-polyanalytic Bargmann transform. (Une \(q\)-déformation de la transformation de Bargmann vraie-polyanalytique.) (French. English summary) Zbl 1403.44001 C. R., Math., Acad. Sci. Paris 356, No. 8, 903-910 (2018). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 44A15 30H20 43A32 81Q35 PDF BibTeX XML Cite \textit{S. Arjika} et al., C. R., Math., Acad. Sci. Paris 356, No. 8, 903--910 (2018; Zbl 1403.44001) Full Text: DOI arXiv OpenURL
Chihara, Hiroyuki; Furuya, Takashi; Koshikawa, Takumi Hermite expansions of some tempered distributions. (English) Zbl 1398.46034 J. Pseudo-Differ. Oper. Appl. 9, No. 1, 105-124 (2018). MSC: 46F12 33C45 47B32 PDF BibTeX XML Cite \textit{H. Chihara} et al., J. Pseudo-Differ. Oper. Appl. 9, No. 1, 105--124 (2018; Zbl 1398.46034) Full Text: DOI arXiv OpenURL
Ahbli, Khalid; Mouayn, Zouhaïr A generating function and formulae defining the first-associated Meixner-Pollaczek polynomials. (English) Zbl 1384.33018 Integral Transforms Spec. Funct. 29, No. 5, 352-366 (2018). MSC: 33C45 35A22 PDF BibTeX XML Cite \textit{K. Ahbli} and \textit{Z. Mouayn}, Integral Transforms Spec. Funct. 29, No. 5, 352--366 (2018; Zbl 1384.33018) Full Text: DOI arXiv OpenURL
Dong, Xing-Tang; Zhu, Kehe The Fourier and Hilbert transforms under the Bargmann transform. (English) Zbl 1394.30041 Complex Var. Elliptic Equ. 63, No. 4, 517-531 (2018). Reviewer: Joan Fàbrega (Barcelona) MSC: 30H20 42A38 44A15 PDF BibTeX XML Cite \textit{X.-T. Dong} and \textit{K. Zhu}, Complex Var. Elliptic Equ. 63, No. 4, 517--531 (2018; Zbl 1394.30041) Full Text: DOI arXiv OpenURL
Cnudde, L.; De Bie, H. Slice Segal-Bargmann transform. (English) Zbl 1370.81089 J. Phys. A, Math. Theor. 50, No. 25, Article ID 255207, 23 p. (2017). MSC: 81R12 81V80 46F12 30H20 PDF BibTeX XML Cite \textit{L. Cnudde} and \textit{H. De Bie}, J. Phys. A, Math. Theor. 50, No. 25, Article ID 255207, 23 p. (2017; Zbl 1370.81089) Full Text: DOI OpenURL
Maciejewski, Andrzej J.; Stachowiak, Tomasz A novel approach to the spectral problem in the two photon Rabi model. (English) Zbl 1369.81130 J. Phys. A, Math. Theor. 50, No. 24, Article ID 244003, 22 p. (2017). MSC: 81V80 81Q10 41A60 44A05 PDF BibTeX XML Cite \textit{A. J. Maciejewski} and \textit{T. Stachowiak}, J. Phys. A, Math. Theor. 50, No. 24, Article ID 244003, 22 p. (2017; Zbl 1369.81130) Full Text: DOI arXiv OpenURL
Diki, Kamal; Ghanmi, A. A quaternionic analogue of the Segal-Bargmann transform. (English) Zbl 1364.44002 Complex Anal. Oper. Theory 11, No. 2, 457-473 (2017). Reviewer: Kun Soo Chang (Seoul) MSC: 44A15 30H20 32A17 32A10 42A38 PDF BibTeX XML Cite \textit{K. Diki} and \textit{A. Ghanmi}, Complex Anal. Oper. Theory 11, No. 2, 457--473 (2017; Zbl 1364.44002) Full Text: DOI arXiv OpenURL
Fernández, Carmen; Galbis, Antonio; Toft, Joachim The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces. (English) Zbl 1368.46035 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 1, 1-13 (2017). Reviewer: Deshna Loonker (Jodhpur) MSC: 46F05 44A15 42B35 PDF BibTeX XML Cite \textit{C. Fernández} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 1, 1--13 (2017; Zbl 1368.46035) Full Text: DOI arXiv OpenURL
Ahbli, Khalid; Kikodio, Patrick Kayupe; Mouayn, Zouhaïr Research article orthogonal polynomials attached to coherent states for the symmetric Pöschl-Teller oscillator. (English) Zbl 1356.81153 Integral Transforms Spec. Funct. 27, No. 10, 806-823 (2016). MSC: 81R30 33C45 35A22 PDF BibTeX XML Cite \textit{K. Ahbli} et al., Integral Transforms Spec. Funct. 27, No. 10, 806--823 (2016; Zbl 1356.81153) Full Text: DOI arXiv OpenURL
Asai, Nobuhiro; Krystek, Anna Dorota; Wojakowski, Łukasz Jan Interpolations of Bargmann type measures. (English) Zbl 1345.30040 Demonstr. Math. 49, No. 3, 293-301 (2016). MSC: 30E05 60E10 PDF BibTeX XML Cite \textit{N. Asai} et al., Demonstr. Math. 49, No. 3, 293--301 (2016; Zbl 1345.30040) Full Text: DOI OpenURL
Cappiello, Marco; Schulz, René Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions. (English) Zbl 1339.35014 Complex Var. Elliptic Equ. 61, No. 4, 538-561 (2016). MSC: 35A27 35A18 35A22 46F05 PDF BibTeX XML Cite \textit{M. Cappiello} and \textit{R. Schulz}, Complex Var. Elliptic Equ. 61, No. 4, 538--561 (2016; Zbl 1339.35014) Full Text: DOI arXiv OpenURL
Stenzel, Matthew B. The Poisson transform on a compact real analytic Riemannian manifold. (English) Zbl 1333.46040 Monatsh. Math. 178, No. 2, 299-309 (2015). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F12 43A85 58J05 PDF BibTeX XML Cite \textit{M. B. Stenzel}, Monatsh. Math. 178, No. 2, 299--309 (2015; Zbl 1333.46040) Full Text: DOI OpenURL
Bhimani, Divyang G. Contraction of functions in modulation spaces. (English) Zbl 1319.42003 Integral Transforms Spec. Funct. 26, No. 9, 678-686 (2015). MSC: 42A38 42B10 42B35 PDF BibTeX XML Cite \textit{D. G. Bhimani}, Integral Transforms Spec. Funct. 26, No. 9, 678--686 (2015; Zbl 1319.42003) Full Text: DOI arXiv OpenURL
Kisil, Vladimir V. Calculus of operators: covariant transform and relative convolutions. (English) Zbl 1305.43009 Banach J. Math. Anal. 8, No. 2, 156-184 (2014). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 43A80 45P05 47B38 47G10 22Exx 17Bxx 47C10 PDF BibTeX XML Cite \textit{V. V. Kisil}, Banach J. Math. Anal. 8, No. 2, 156--184 (2014; Zbl 1305.43009) Full Text: DOI arXiv Euclid Link OpenURL
Ólafsson, Gestur; Wiboonton, Keng The Segal-Bargmann transform on compact symmetric spaces and their direct limits. (English) Zbl 1283.22008 Huckleberry, Alan (ed.) et al., Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7192-9/hbk; 978-1-4614-7193-6/ebook). Progress in Mathematics 306, 225-253 (2013). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 22E45 32A25 44A15 PDF BibTeX XML Cite \textit{G. Ólafsson} and \textit{K. Wiboonton}, Prog. Math. 306, 225--253 (2013; Zbl 1283.22008) Full Text: DOI arXiv OpenURL
Möllers, Jan A geometric quantization of the Kostant-Sekiguchi correspondence for scalar type unitary highest weight representations. (English) Zbl 1277.22011 Doc. Math. 18, 785-855 (2013). MSC: 22E45 17C30 30H20 33C70 44A15 46E22 PDF BibTeX XML Cite \textit{J. Möllers}, Doc. Math. 18, 785--855 (2013; Zbl 1277.22011) Full Text: arXiv EMIS OpenURL
Mouayn, Zouhaïr A family of circular Bargmann transforms. (Une famille de transformations de Bargmann circulaires.) (French. Abridged English version) Zbl 1258.44001 C. R., Math., Acad. Sci. Paris 350, No. 23-24, 1017-1022 (2012). MSC: 44A15 PDF BibTeX XML Cite \textit{Z. Mouayn}, C. R., Math., Acad. Sci. Paris 350, No. 23--24, 1017--1022 (2012; Zbl 1258.44001) Full Text: DOI arXiv OpenURL
Kagawa, Toshinao; Wong, M. W. Weyl transforms and solutions to Schrödinger equations for time-dependent Hermite operators. (English) Zbl 1253.35136 J. Pseudo-Differ. Oper. Appl. 3, No. 1, 31-48 (2012). MSC: 35Q41 47G30 PDF BibTeX XML Cite \textit{T. Kagawa} and \textit{M. W. Wong}, J. Pseudo-Differ. Oper. Appl. 3, No. 1, 31--48 (2012; Zbl 1253.35136) Full Text: DOI OpenURL
Signahl, Mikael; Toft, Joachim Mapping properties for the Bargmann transform on modulation spaces. (English) Zbl 1260.42014 J. Pseudo-Differ. Oper. Appl. 3, No. 1, 1-30 (2012). Reviewer: Koichi Saka (Akita) MSC: 42B35 44A15 44A20 47B35 PDF BibTeX XML Cite \textit{M. Signahl} and \textit{J. Toft}, J. Pseudo-Differ. Oper. Appl. 3, No. 1, 1--30 (2012; Zbl 1260.42014) Full Text: DOI OpenURL
Sontz, Stephen Bruce Relations among various versions of the Segal-Bargmann transform. (English) Zbl 1248.44005 Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 289-306 (2012). MSC: 44A15 PDF BibTeX XML Cite \textit{S. B. Sontz}, Oper. Theory: Adv. Appl. 220, 289--306 (2012; Zbl 1248.44005) Full Text: DOI arXiv OpenURL
Sontz, Stephen Bruce The \(C\)-version Segal-Bargmann transform for finite Coxeter groups defined by the restriction principle. (English) Zbl 1259.46021 Adv. Math. Phys. 2011, Article ID 365085, 23 p. (2011). Reviewer: Monika Winklmeier (Bogotá) MSC: 46E22 44A15 PDF BibTeX XML Cite \textit{S. B. Sontz}, Adv. Math. Phys. 2011, Article ID 365085, 23 p. (2011; Zbl 1259.46021) Full Text: DOI arXiv OpenURL
Mouayn, Zouhaïr Coherent state transforms attached to generalized Bargmann spaces on the complex plane. (English) Zbl 1228.35011 Math. Nachr. 284, No. 14-15, 1948-1954 (2011). MSC: 35A22 81R30 PDF BibTeX XML Cite \textit{Z. Mouayn}, Math. Nachr. 284, No. 14--15, 1948--1954 (2011; Zbl 1228.35011) Full Text: DOI arXiv OpenURL
Signahl, Mikael; Toft, Joachim Remarks on mapping properties for the Bargmann transform on modulation spaces. (English) Zbl 1227.42026 Integral Transforms Spec. Funct. 22, No. 4-5, 359-366 (2011). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 42B35 44A15 44A20 PDF BibTeX XML Cite \textit{M. Signahl} and \textit{J. Toft}, Integral Transforms Spec. Funct. 22, No. 4--5, 359--366 (2011; Zbl 1227.42026) Full Text: DOI arXiv OpenURL
Sugimoto, Mitsuru; Tomita, Naohito; Wang, Baoxiang Remarks on nonlinear operations on modulation spaces. (English) Zbl 1221.44007 Integral Transforms Spec. Funct. 22, No. 4-5, 351-358 (2011). Reviewer: Valery Vladimirovich Volchkov (Donetsk) MSC: 44A15 42B35 42B37 35S50 PDF BibTeX XML Cite \textit{M. Sugimoto} et al., Integral Transforms Spec. Funct. 22, No. 4--5, 351--358 (2011; Zbl 1221.44007) Full Text: DOI OpenURL
Molahajloo, Shahla; Wong, M. W. Diagonalization of Weyl transforms and heat equations for time-dependent Hermite operators. (English) Zbl 1217.35090 Complex Anal. Oper. Theory 5, No. 1, 283-298 (2011). MSC: 35K05 47G30 35A22 PDF BibTeX XML Cite \textit{S. Molahajloo} and \textit{M. W. Wong}, Complex Anal. Oper. Theory 5, No. 1, 283--298 (2011; Zbl 1217.35090) Full Text: DOI OpenURL
Radha, R.; Naidu, D. Venku Generalized Bargmann transform and a group representation. (English) Zbl 1210.43004 Bull. Sci. Math. 135, No. 2, 206-214 (2011). MSC: 43A30 PDF BibTeX XML Cite \textit{R. Radha} and \textit{D. V. Naidu}, Bull. Sci. Math. 135, No. 2, 206--214 (2011; Zbl 1210.43004) Full Text: DOI OpenURL
Demange, Bruno Uncertain principles associated to non-degenerate quadratic forms. (English) Zbl 1211.42010 Mém. Soc. Math. Fr., Nouv. Sér. 119, 95 p. (2009). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 32A15 11E25 PDF BibTeX XML Cite \textit{B. Demange}, Mém. Soc. Math. Fr., Nouv. Sér. 119, 95 p. (2009; Zbl 1211.42010) Full Text: DOI OpenURL
Ghanmi, Allal; Mouayn, Zouhaïr A deformed Bargmann transform by an SU(2) matrix parameter. (English) Zbl 1203.33009 Rend. Ist. Mat. Univ. Trieste 41, 77-84 (2009). MSC: 33C45 81R30 44A05 PDF BibTeX XML Cite \textit{A. Ghanmi} and \textit{Z. Mouayn}, Rend. Ist. Mat. Univ. Trieste 41, 77--84 (2009; Zbl 1203.33009) OpenURL
Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther On the linearized local Calderón problem. (English) Zbl 1198.31003 Math. Res. Lett. 16, No. 5-6, 955-970 (2009). Reviewer: Nils Ackermann (México) MSC: 31B20 35R30 78A30 35J10 35A27 35A22 58J32 PDF BibTeX XML Cite \textit{D. Dos Santos Ferreira} et al., Math. Res. Lett. 16, No. 5--6, 955--970 (2009; Zbl 1198.31003) Full Text: DOI arXiv OpenURL
Hilgert, Joachim; Zhang, Genkai Segal-Bargmann and Weyl transforms on compact Lie groups. (English) Zbl 1203.22010 Monatsh. Math. 158, No. 3, 285-305 (2009). Reviewer: Akihiko Morimoto (Nagoya) MSC: 22E30 32A25 44A15 PDF BibTeX XML Cite \textit{J. Hilgert} and \textit{G. Zhang}, Monatsh. Math. 158, No. 3, 285--305 (2009; Zbl 1203.22010) Full Text: DOI OpenURL
Sontz, Stephen Bruce The \(\mu\)-deformed Segal-Bargmann transform is a Hall type transform. (English) Zbl 1194.46112 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 2, 269-289 (2009). MSC: 46N50 47N50 46E15 81S99 PDF BibTeX XML Cite \textit{S. B. Sontz}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 2, 269--289 (2009; Zbl 1194.46112) Full Text: DOI arXiv OpenURL
Baccar, Cyrine; Omri, Slim; Rachdi, Lakhdar T. Fock spaces connected with spherical mean operator and associated operators. (English) Zbl 1193.47029 Mediterr. J. Math. 6, No. 1, 1-25 (2009). Reviewer: Boris Rubin (Baton Rouge) MSC: 47B32 44A99 47B35 46E22 PDF BibTeX XML Cite \textit{C. Baccar} et al., Mediterr. J. Math. 6, No. 1, 1--25 (2009; Zbl 1193.47029) Full Text: DOI OpenURL
Ben Saïd, Salem; Ørsted, Bent On Fock spaces and \({\mathfrak{sl}}(2)\)-triples for Dunkl operators. (English. French summary) Zbl 1180.22013 Biane, Philippe (ed.) et al., Analyse et probabilités. Paris: Société Mathématique de France (ISBN 978-2-85629-238-9/pbk). Séminaires et Congrès 16, 185-207 (2008). Reviewer: Salah Mehdi (Metz) MSC: 22E30 39A70 43A85 44A15 PDF BibTeX XML Cite \textit{S. Ben Saïd} and \textit{B. Ørsted}, Sémin. Congr. 16, 185--207 (2008; Zbl 1180.22013) OpenURL
Kaewthep, Areerak; Lewkeeratiyutkul, Wicharn A pointwise bound for rotation-invariant holomorphic functions that are square integrable with respect to a Gaussian measure. (English) Zbl 1141.46011 Taiwanese J. Math. 11, No. 5, 1443-1455 (2007). Reviewer: Vasily A. Chernecky (Odessa) MSC: 46E20 43A32 PDF BibTeX XML Cite \textit{A. Kaewthep} and \textit{W. Lewkeeratiyutkul}, Taiwanese J. Math. 11, No. 5, 1443--1455 (2007; Zbl 1141.46011) Full Text: DOI OpenURL
Radha, R.; Sivananthan, S. Shannon type sampling theorems on the Heisenberg group. (English) Zbl 1141.43010 Rodino, Luigi (ed.) et al., Pseudo-differential operators. Partial differential equations and time-frequency analysis. Selected papers of the ISAAC workshop, Toronto, Canada, December 11–15, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4276-8/hbk). Fields Institute Communications 52, 367-374 (2007). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 43A85 94A20 43A30 42B10 PDF BibTeX XML Cite \textit{R. Radha} and \textit{S. Sivananthan}, Fields Inst. Commun. 52, 367--374 (2007; Zbl 1141.43010) OpenURL
Neretin, Yu. A. Perelomov problem and inversion of the Segal-Bargmann transform. (English. Russian original) Zbl 1119.43002 Funct. Anal. Appl. 40, No. 4, 330-333 (2006); translation from Funkts. Anal. Prilozh. 40, No. 4, 104-107 (2006). Reviewer: Constantin Udrişte (Bucureşti) MSC: 43A32 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 40, No. 4, 330--333 (2006; Zbl 1119.43002); translation from Funkts. Anal. Prilozh. 40, No. 4, 104--107 (2006) Full Text: DOI arXiv OpenURL
Aftalion, Amandine Vortices in Bose-Einstein condensates. (English) Zbl 1129.82004 Progress in Nonlinear Differential Equations and their Applications 67. Boston, MA: Birkhäuser (ISBN 0-8176-4392-3/hbk). xii, 203 p. (2006). Reviewer: Adrian Neagu (Timisoara) MSC: 82-02 82B10 35Q55 35J60 PDF BibTeX XML Cite \textit{A. Aftalion}, Vortices in Bose-Einstein condensates. Boston, MA: Birkhäuser (2006; Zbl 1129.82004) OpenURL
Ben Saïd, Salem; Ørsted, Bent Segal-Bargmann transforms associated with finite Coxeter groups. (English) Zbl 1109.33015 Math. Ann. 334, No. 2, 281-323 (2006). Reviewer: Ajay Kumar (Delhi) MSC: 33C52 43A85 44A15 PDF BibTeX XML Cite \textit{S. Ben Saïd} and \textit{B. Ørsted}, Math. Ann. 334, No. 2, 281--323 (2006; Zbl 1109.33015) Full Text: DOI OpenURL
Asai, Nobuhiro; Kubo, Izumi; Kuo, Hui-Hsiung Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures. (English) Zbl 1028.46038 Proc. Am. Math. Soc. 131, No. 3, 815-823 (2003). Reviewer: Isamu Dôku (Urawa, Saitama) MSC: 46E20 33D45 44A15 PDF BibTeX XML Cite \textit{N. Asai} et al., Proc. Am. Math. Soc. 131, No. 3, 815--823 (2003; Zbl 1028.46038) Full Text: DOI arXiv OpenURL
Hall, Brian C. Bounds on the Segal-Bargmann transform of \(L^p\) functions. (English) Zbl 1003.44005 J. Fourier Anal. Appl. 7, No. 6, 553-569 (2001). Reviewer: J.V.Whittaker (Vancouver) MSC: 44A35 46E20 81S30 42B35 PDF BibTeX XML Cite \textit{B. C. Hall}, J. Fourier Anal. Appl. 7, No. 6, 553--569 (2001; Zbl 1003.44005) Full Text: DOI arXiv EuDML OpenURL
Tokarev, A. G. A noncommutative analog of Berezin’s formula. (English. Russian original) Zbl 1027.47037 Trans. Mosc. Math. Soc. 2001, 213-247 (2001); translation from Tr. Mosk. Mat. O.-va 62, 229-261 (2001). MSC: 47D08 47G30 81R15 46L89 46N50 81S99 PDF BibTeX XML Cite \textit{A. G. Tokarev}, Trans. Mosc. Math. Soc. 2001, 213--247 (2001; Zbl 1027.47037); translation from Tr. Mosk. Mat. O.-va 62, 229--261 (2001) OpenURL
Hall, Brian C. Harmonic analysis with respect to heat kernel measure. (English) Zbl 0971.22008 Bull. Am. Math. Soc., New Ser. 38, No. 1, 43-78 (2001). Reviewer: Jeffrey J.Mitchell (Waco) MSC: 22E30 81S30 53D50 60H30 43A32 46E20 PDF BibTeX XML Cite \textit{B. C. Hall}, Bull. Am. Math. Soc., New Ser. 38, No. 1, 43--78 (2001; Zbl 0971.22008) Full Text: DOI arXiv OpenURL
Luo, Shunlong Deforming Gabor frames by quadratic Hamiltonians. (English) Zbl 0962.44008 Integral Transforms Spec. Funct. 9, No. 1, 69-74 (2000). MSC: 44A15 47B38 81R30 PDF BibTeX XML Cite \textit{S. Luo}, Integral Transforms Spec. Funct. 9, No. 1, 69--74 (2000; Zbl 0962.44008) Full Text: DOI OpenURL
Kisil, V. V. Wavelet transform of operators and functional calculus. (English) Zbl 0941.43002 Begehr, Heinrich G. W. (ed.) et al., Complex methods for partial differential equations. Collection of manuscripts originating from talks and lectures given at the workshop on recent trends in complex methods for partial differential equations, Ankara, Turkey, July 6-10, 1998. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 6, 319-331 (1999). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 43A85 46E10 47A60 47A67 47C99 81R30 42C40 43A32 PDF BibTeX XML Cite \textit{V. V. Kisil}, Int. Soc. Anal. Appl. Comput. 6, 319--331 (1999; Zbl 0941.43002) OpenURL
Cohen, Paula Beazley; Hudson, Robin L.; Parthasarathy, K. R.; Pulmannová, Sylvia Hall’s transformation via quantum stochastic calculus. (English) Zbl 0943.46040 Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 147-155 (1998). Reviewer: S.Goldstein (Łódź) MSC: 46L60 81S25 44A15 PDF BibTeX XML Cite \textit{P. B. Cohen} et al., Banach Cent. Publ. 43, 147--155 (1998; Zbl 0943.46040) Full Text: EuDML OpenURL
Hall, Brian C. The inverse Segal-Bargmann transform for compact Lie groups. (English) Zbl 0869.22005 J. Funct. Anal. 143, No. 1, 98-116 (1997). Reviewer: G.Loupias (Montpellier) MSC: 22E30 44A15 PDF BibTeX XML Cite \textit{B. C. Hall}, J. Funct. Anal. 143, No. 1, 98--116 (1997; Zbl 0869.22005) Full Text: DOI OpenURL
Zayed, Ahmed I. Handbook of function and generalized function transformations. (English) Zbl 0851.44002 Mathematical Sciences Reference Series. Boca Raton, FL: CRC Press. xxii, 643 p. (1996). Reviewer: H.-J.Glaeske (Jena) MSC: 44-00 00A20 33-00 44A15 46F12 44A12 65T50 44A10 42A38 26A33 44A35 PDF BibTeX XML Cite \textit{A. I. Zayed}, Handbook of function and generalized function transformations. Boca Raton, FL: CRC Press (1996; Zbl 0851.44002) OpenURL
Watanabe, Shigeru Hilbert spaces of analytic functions associated with generating functions of spherical functions on \(U(n)/ U(n-1)\). (English) Zbl 0840.43009 Proc. Japan Acad., Ser. A 70, No. 10, 323-325 (1994). Reviewer: V.V.Kisil (Odessa) MSC: 43A32 43A85 43A90 46E20 PDF BibTeX XML Cite \textit{S. Watanabe}, Proc. Japan Acad., Ser. A 70, No. 10, 323--325 (1994; Zbl 0840.43009) Full Text: DOI OpenURL
Frydryszak, Andrzej The fermionic Heisenberg group and its \(Q\)-representations. (English) Zbl 0786.22028 Lett. Math. Phys. 26, No. 2, 105-114 (1992). MSC: 22E70 43A32 33C50 81R05 PDF BibTeX XML Cite \textit{A. Frydryszak}, Lett. Math. Phys. 26, No. 2, 105--114 (1992; Zbl 0786.22028) Full Text: DOI OpenURL
Seip, Kristian Reproducing formulas and double orthogonality in Bargmann and Bergman spaces. (English) Zbl 0767.44005 SIAM J. Math. Anal. 22, No. 3, 856-876 (1991). Reviewer: M.Cowling (Kensington) MSC: 44A15 30C40 94A05 41A05 42C15 PDF BibTeX XML Cite \textit{K. Seip}, SIAM J. Math. Anal. 22, No. 3, 856--876 (1991; Zbl 0767.44005) Full Text: DOI OpenURL
Janssen, A. J. E. M.; van Eijndhoven, S. J. L. Spaces of type \(W\), growth of Hermite coefficients, Wigner distribution, and Bargmann transform. (English) Zbl 0749.46027 J. Math. Anal. Appl. 152, No. 2, 368-390 (1990). MSC: 46F12 46F05 PDF BibTeX XML Cite \textit{A. J. E. M. Janssen} and \textit{S. J. L. van Eijndhoven}, J. Math. Anal. Appl. 152, No. 2, 368--390 (1990; Zbl 0749.46027) Full Text: DOI OpenURL
Basu, Debabrata Representations of SL(2,R) in a Hilbert space of analytic functions and a class of associated integral transforms. (English) Zbl 0671.22009 J. Math. Phys. 30, No. 1, 1-8 (1989). Reviewer: K.B.Wolf MSC: 22E70 46E20 33C80 44A05 81T60 22E45 46C99 PDF BibTeX XML Cite \textit{D. Basu}, J. Math. Phys. 30, No. 1, 1--8 (1989; Zbl 0671.22009) Full Text: DOI OpenURL
Janssen, A. J. E. M. A note on Hudson’s theorem about functions with nonnegative Wigner distributions. (English) Zbl 0541.46035 SIAM J. Math. Anal. 15, 170-176 (1984). Reviewer: W.Schempp MSC: 46F12 60B15 43A80 PDF BibTeX XML Cite \textit{A. J. E. M. Janssen}, SIAM J. Math. Anal. 15, 170--176 (1984; Zbl 0541.46035) Full Text: DOI OpenURL
Janssen, A. J. E. M. Bargmann transform, Zak transform, and coherent states. (English) Zbl 0486.46027 J. Math. Phys. 23, 720-731 (1982). MSC: 46F05 46F12 46N99 PDF BibTeX XML Cite \textit{A. J. E. M. Janssen}, J. Math. Phys. 23, 720--731 (1982; Zbl 0486.46027) Full Text: DOI Link OpenURL
Wolf, Kurt Bernardo Canonical transforms. IV: Hyperbolic transforms: Continuous series of SL(2,R) representations. (English) Zbl 0449.44004 J. Math. Phys. 21, 680-688 (1980). MSC: 44A15 22E70 34A25 81Q05 34L99 PDF BibTeX XML Cite \textit{K. B. Wolf}, J. Math. Phys. 21, 680--688 (1980; Zbl 0449.44004) Full Text: DOI Link OpenURL
Schempp, Walter On Schwartz kernels relative to the function space \(H_{-\infty}(E)\). (English) Zbl 0397.46051 Result. Math. 3, 227-234 (1980). MSC: 46J15 46F12 PDF BibTeX XML Cite \textit{W. Schempp}, Result. Math. 3, 227--234 (1980; Zbl 0397.46051) Full Text: DOI OpenURL
Wolf, Kurt Bernardo Integral transforms in science and engineering. (English) Zbl 0409.44001 Mathematical Concepts and Methods in Science and Engineering, Vol. 11. New York, London: Plenum Press. XIII, 489 p. $ 32.50 (1979). MSC: 44-02 42-02 44A99 00A06 34A30 34A25 44-XX 42A38 42B10 PDF BibTeX XML OpenURL