Rainer, Armin Ultradifferentiable extension theorems: a survey. (English) Zbl 07584616 Expo. Math. 40, No. 3, 679-757 (2022). MSC: 26E10 46E10 30D60 46E25 46A63 58C25 PDF BibTeX XML Cite \textit{A. Rainer}, Expo. Math. 40, No. 3, 679--757 (2022; Zbl 07584616) Full Text: DOI arXiv OpenURL
Fürdös, Stefan; Schindl, Gerhard The theorem of iterates for elliptic and non-elliptic operators. (English) Zbl 1493.35003 J. Funct. Anal. 283, No. 5, Article ID 109554, 74 p. (2022). Reviewer: Luigi Rodino (Torino) MSC: 35A18 26E10 35B65 35H10 35H20 46F05 PDF BibTeX XML Cite \textit{S. Fürdös} and \textit{G. Schindl}, J. Funct. Anal. 283, No. 5, Article ID 109554, 74 p. (2022; Zbl 1493.35003) Full Text: DOI arXiv OpenURL
Schindl, Gerhard On subadditivity-like conditions for associated weight functions. (English) Zbl 07522903 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 3, 399-427 (2022). Reviewer: Edward Omey (Brussel) MSC: 26A12 26A48 40A05 46A13 46E10 PDF BibTeX XML Cite \textit{G. Schindl}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 3, 399--427 (2022; Zbl 07522903) Full Text: DOI arXiv OpenURL
Schindl, Gerhard On the maximal extension in the mixed ultradifferentiable weight sequence setting. (English) Zbl 1496.26042 Stud. Math. 263, No. 2, 209-240 (2022). MSC: 26E10 46A13 46E10 PDF BibTeX XML Cite \textit{G. Schindl}, Stud. Math. 263, No. 2, 209--240 (2022; Zbl 1496.26042) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Equality of ultradifferentiable classes by means of indices of mixed O-regular variation. (English) Zbl 1484.46031 Result. Math. 77, No. 1, Paper No. 28, 32 p. (2022). Reviewer: Antonio Galbis (Valencia) MSC: 46E10 26A12 26A48 46A13 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., Result. Math. 77, No. 1, Paper No. 28, 32 p. (2022; Zbl 1484.46031) Full Text: DOI arXiv OpenURL
Gaisin, R. A. A bilogarithmic criterion for the existence of a regular minorant that does not satisfy the bang condition. (English. Russian original) Zbl 1483.30007 Math. Notes 110, No. 5, 666-678 (2021); translation from Mat. Zametki 110, No. 5, 672-687 (2021). MSC: 30B10 30D15 PDF BibTeX XML Cite \textit{R. A. Gaisin}, Math. Notes 110, No. 5, 666--678 (2021; Zbl 1483.30007); translation from Mat. Zametki 110, No. 5, 672--687 (2021) Full Text: DOI OpenURL
Nenning, David Nicolas; Rainer, Armin; Schindl, Gerhard Nonlinear conditions for ultradifferentiability. (English) Zbl 1483.26023 J. Geom. Anal. 31, No. 12, 12264-12287 (2021). MSC: 26E10 30E10 32W05 46E10 46E25 58C25 PDF BibTeX XML Cite \textit{D. N. Nenning} et al., J. Geom. Anal. 31, No. 12, 12264--12287 (2021; Zbl 1483.26023) Full Text: DOI arXiv OpenURL
Pöschel, Jürgen On the Siegel-Sternberg linearization theorem. (English) Zbl 1482.46047 J. Dyn. Differ. Equations 33, No. 3, 1399-1425 (2021). MSC: 46F05 26E10 37C10 PDF BibTeX XML Cite \textit{J. Pöschel}, J. Dyn. Differ. Equations 33, No. 3, 1399--1425 (2021; Zbl 1482.46047) Full Text: DOI arXiv OpenURL
Musin, I. Kh. Approximation of infinitely differentiable functions on the real line by polynomials in weighted spaces. (English. Russian original) Zbl 1476.41005 J. Math. Sci., New York 257, No. 3, 329-333 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 57-61 (2019). Reviewer: Jorge Bustamante González (Puebla) MSC: 41A10 41A81 PDF BibTeX XML Cite \textit{I. Kh. Musin}, J. Math. Sci., New York 257, No. 3, 329--333 (2021; Zbl 1476.41005); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 57--61 (2019) Full Text: DOI OpenURL
Isaev, K. P.; Trunov, K. V.; Yulmukhametov, R. S. Representation of functions by series of exponentials in normed subspaces of \(A^\infty (D)\). (English. Russian original) Zbl 1475.30014 J. Math. Sci., New York 257, No. 3, 313-328 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 42-56 (2019). MSC: 30B50 30H99 PDF BibTeX XML Cite \textit{K. P. Isaev} et al., J. Math. Sci., New York 257, No. 3, 313--328 (2021; Zbl 1475.30014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 42--56 (2019) Full Text: DOI OpenURL
Sherstyukov, V. B. Asymptotic properties of entire functions with given laws of distribution of zeros. (English. Russian original) Zbl 1475.30069 J. Math. Sci., New York 257, No. 2, 246-272 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 161, 104-129 (2019). MSC: 30D15 30D20 30C15 PDF BibTeX XML Cite \textit{V. B. Sherstyukov}, J. Math. Sci., New York 257, No. 2, 246--272 (2021; Zbl 1475.30069); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 161, 104--129 (2019) Full Text: DOI OpenURL
Nenning, David Nicolas; Rainer, Armin; Schindl, Gerhard Ultraholomorphic sectorial extensions of Beurling type. (English) Zbl 1468.30057 Ann. Funct. Anal. 12, No. 3, Paper No. 45, 20 p. (2021). MSC: 30D60 26A12 46A13 46E10 PDF BibTeX XML Cite \textit{D. N. Nenning} et al., Ann. Funct. Anal. 12, No. 3, Paper No. 45, 20 p. (2021; Zbl 1468.30057) Full Text: DOI arXiv OpenURL
Dudkin, M. E.; Dyuzhenkova, O. Yu. Two-dimensional half-strong real moment problem and the corresponding block matrices. I. (English. Ukrainian original) Zbl 07297494 Ukr. Math. J. 72, No. 8, 1212-1229 (2021); translation from Ukr. Mat. Zh. 72, No. 8, 1047-1063 (2020). MSC: 47Axx PDF BibTeX XML Cite \textit{M. E. Dudkin} and \textit{O. Yu. Dyuzhenkova}, Ukr. Math. J. 72, No. 8, 1212--1229 (2021; Zbl 07297494); translation from Ukr. Mat. Zh. 72, No. 8, 1047--1063 (2020) Full Text: DOI OpenURL
Boiti, Chiara; Jornet, David; Oliaro, Alessandro; Schindl, Gerhard Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. (English) Zbl 1472.46043 Banach J. Math. Anal. 15, No. 1, Paper No. 14, 38 p. (2021). Reviewer: Angela Albanese (Lecce) MSC: 46F05 46E10 46A11 46A04 PDF BibTeX XML Cite \textit{C. Boiti} et al., Banach J. Math. Anal. 15, No. 1, Paper No. 14, 38 p. (2021; Zbl 1472.46043) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard A Phragmén-Lindelöf theorem via proximate orders, and the propagation of asymptotics. (English) Zbl 1462.30065 J. Geom. Anal. 30, No. 4, 3458-3483 (2020). MSC: 30E15 30C80 26A12 30H50 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., J. Geom. Anal. 30, No. 4, 3458--3483 (2020; Zbl 1462.30065) Full Text: DOI arXiv OpenURL
Schindl, Gerhard Solid hulls and cores of classes of weighted entire functions defined in terms of associated weight functions. (English) Zbl 1455.30022 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 176, 37 p. (2020). Reviewer: Armin Rainer (Wien) MSC: 30D15 30H99 46E05 46E15 PDF BibTeX XML Cite \textit{G. Schindl}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 176, 37 p. (2020; Zbl 1455.30022) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Ultraholomorphic extension theorems in the mixed setting. (English) Zbl 1446.30052 Banach J. Math. Anal. 14, No. 4, 1630-1669 (2020). MSC: 30D60 26E10 46A13 46E10 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., Banach J. Math. Anal. 14, No. 4, 1630--1669 (2020; Zbl 1446.30052) Full Text: DOI arXiv OpenURL
Hoepfner, G.; Medrado, R. Microlocal regularity for Mizohata type differential operators. (English) Zbl 1442.35012 J. Inst. Math. Jussieu 19, No. 4, 1185-1209 (2020). MSC: 35A27 35F05 35A18 35A20 35B65 32A55 PDF BibTeX XML Cite \textit{G. Hoepfner} and \textit{R. Medrado}, J. Inst. Math. Jussieu 19, No. 4, 1185--1209 (2020; Zbl 1442.35012) Full Text: DOI OpenURL
Bouzar, Chikh Spaces of ultradifferentiable functions of multi-anisotropic type. (English) Zbl 1445.46024 Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 131-144 (2020). Reviewer: José Bonet (Valencia) MSC: 46E10 46F05 PDF BibTeX XML Cite \textit{C. Bouzar}, in: Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2--6, 2018. Cham: Birkhäuser. 131--144 (2020; Zbl 1445.46024) Full Text: DOI OpenURL
Esser, Céline; Schindl, Gerhard On the construction of large algebras not contained in the image of the Borel map. (English) Zbl 1442.46020 Result. Math. 75, No. 1, Paper No. 22, 37 p. (2020). Reviewer: José Bonet (Valencia) MSC: 46E10 46B87 30D60 46A13 PDF BibTeX XML Cite \textit{C. Esser} and \textit{G. Schindl}, Result. Math. 75, No. 1, Paper No. 22, 37 p. (2020; Zbl 1442.46020) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces. (English) Zbl 1462.26033 Monatsh. Math. 191, No. 3, 537-576 (2020). Reviewer: Armin Rainer (Wien) MSC: 26E10 30D60 46A13 46E10 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., Monatsh. Math. 191, No. 3, 537--576 (2020; Zbl 1462.26033) Full Text: DOI arXiv OpenURL
Fürdös, Stefan; Nenning, David Nicolas; Rainer, Armin; Schindl, Gerhard Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis. (English) Zbl 1427.32009 J. Math. Anal. Appl. 481, No. 1, Article ID 123451, 51 p. (2020). MSC: 32D99 PDF BibTeX XML Cite \textit{S. Fürdös} et al., J. Math. Anal. Appl. 481, No. 1, Article ID 123451, 51 p. (2020; Zbl 1427.32009) Full Text: DOI arXiv OpenURL
Braichev, Georgiĭ Genrikhovich On Stolz’s theorem and its conversion. (English) Zbl 1463.40033 Eurasian Math. J. 10, No. 3, 8-19 (2019). MSC: 40D10 40E10 PDF BibTeX XML Cite \textit{G. G. Braichev}, Eurasian Math. J. 10, No. 3, 8--19 (2019; Zbl 1463.40033) Full Text: DOI MNR OpenURL
Soloviev, M. A. Spaces of type \(S\) and deformation quantization. (English. Russian original) Zbl 1441.81115 Theor. Math. Phys. 201, No. 3, 1682-1700 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 315-336 (2019). MSC: 81S10 53D55 PDF BibTeX XML Cite \textit{M. A. Soloviev}, Theor. Math. Phys. 201, No. 3, 1682--1700 (2019; Zbl 1441.81115); translation from Teor. Mat. Fiz. 201, No. 3, 315--336 (2019) Full Text: DOI OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Indices of O-regular variation for weight functions and weight sequences. (English) Zbl 1436.46029 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3659-3697 (2019). Reviewer: José Bonet (Valencia) MSC: 46E10 26A12 26A48 44A15 46E30 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3659--3697 (2019; Zbl 1436.46029) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Kamimoto, Shingo; Lastra, Alberto; Sanz, Javier Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders. (English) Zbl 1437.46031 J. Math. Anal. Appl. 472, No. 1, 627-686 (2019). Reviewer: José Bonet (Valencia) MSC: 46E10 44A10 40A30 30B10 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., J. Math. Anal. Appl. 472, No. 1, 627--686 (2019; Zbl 1437.46031) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions. (English) Zbl 1419.46020 Result. Math. 74, No. 1, Paper No. 27, 44 p. (2019). Reviewer: Christian Bargetz (Innsbruck) MSC: 46E10 30E05 26A12 44A05 47A05 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., Result. Math. 74, No. 1, Paper No. 27, 44 p. (2019; Zbl 1419.46020) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes. (English) Zbl 1403.30012 J. Math. Anal. Appl. 469, No. 1, 136-168 (2019). MSC: 30E15 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., J. Math. Anal. Appl. 469, No. 1, 136--168 (2019; Zbl 1403.30012) Full Text: DOI arXiv OpenURL
Gaĭsin, Akhtyar Magazovich; Gaĭsina, Galiya Akhtyarovna Order of Dirichlet series with regular distribution of exponents in half-strips. (Russian. English summary) Zbl 1463.30117 Ufim. Mat. Zh. 10, No. 4, 51-63 (2018); translation in Ufa Math. J. 10, No. 4, 50-63 (2018). MSC: 30D10 PDF BibTeX XML Cite \textit{A. M. Gaĭsin} and \textit{G. A. Gaĭsina}, Ufim. Mat. Zh. 10, No. 4, 51--63 (2018; Zbl 1463.30117); translation in Ufa Math. J. 10, No. 4, 50--63 (2018) Full Text: DOI MNR OpenURL
Balashova, G. S. On Fredholm solvability of the Dirichet problem for linear differential equations of infinite order. (English. Russian original) Zbl 1398.35302 Russ. Math. 62, No. 4, 13-17 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 4, 16-20 (2018). MSC: 35R50 PDF BibTeX XML Cite \textit{G. S. Balashova}, Russ. Math. 62, No. 4, 13--17 (2018; Zbl 1398.35302); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 4, 16--20 (2018) Full Text: DOI OpenURL
Gaisin, A. M. Extremal problems in nonquasianalytic Carleman classes. Applications. (English. Russian original) Zbl 1401.30034 Sb. Math. 209, No. 7, 958-984 (2018); translation from Mat. Sb. 209, No. 7, 44-70 (2018). MSC: 30D60 30B60 PDF BibTeX XML Cite \textit{A. M. Gaisin}, Sb. Math. 209, No. 7, 958--984 (2018; Zbl 1401.30034); translation from Mat. Sb. 209, No. 7, 44--70 (2018) Full Text: DOI OpenURL
Stoica, George When must a flat function be identically 0? (English) Zbl 1393.26003 Am. Math. Mon. 125, No. 7, 648-649 (2018). MSC: 26A06 26D15 PDF BibTeX XML Cite \textit{G. Stoica}, Am. Math. Mon. 125, No. 7, 648--649 (2018; Zbl 1393.26003) Full Text: DOI OpenURL
Hoepfner, G.; Medrado, R. The FBI transforms and their use in microlocal analysis. (English) Zbl 1395.35007 J. Funct. Anal. 275, No. 5, 1208-1258 (2018). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 35A27 42B10 35A18 35A21 35A22 35N10 PDF BibTeX XML Cite \textit{G. Hoepfner} and \textit{R. Medrado}, J. Funct. Anal. 275, No. 5, 1208--1258 (2018; Zbl 1395.35007) Full Text: DOI OpenURL
Belotto da Silva, André; Biborski, Iwo; Bierstone, Edward Solutions of quasianalytic equations. (English) Zbl 1425.26020 Sel. Math., New Ser. 23, No. 4, 2523-2552 (2017). MSC: 26E10 03C64 32S45 30D60 32B20 PDF BibTeX XML Cite \textit{A. Belotto da Silva} et al., Sel. Math., New Ser. 23, No. 4, 2523--2552 (2017; Zbl 1425.26020) Full Text: DOI arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Log-convex sequences and nonzero proximate orders. (English) Zbl 1361.30003 J. Math. Anal. Appl. 448, No. 2, 1572-1599 (2017). MSC: 30B10 30D60 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., J. Math. Anal. Appl. 448, No. 2, 1572--1599 (2017; Zbl 1361.30003) Full Text: DOI arXiv OpenURL
Infusino, Maria Quasi-analyticity and determinacy of the full moment problem from finite to infinite dimensions. (English) Zbl 07594947 Bernido, Christopher C. (ed.) et al., Stochastic and infinite dimensional analysis. Collected papers based on the presentations at the conference, Bielefeld, Germany, June 2013. Basel: Birkhäuser/Springer. Trends Math., 161-194 (2016). MSC: 44A60 26E10 28C05 PDF BibTeX XML Cite \textit{M. Infusino}, in: Stochastic and infinite dimensional analysis. Collected papers based on the presentations at the conference, Bielefeld, Germany, June 2013. Basel: Birkhäuser/Springer. 161--194 (2016; Zbl 07594947) Full Text: DOI OpenURL
Jiménez-Garrido, Javier; Sanz, Javier Strongly regular sequences and proximate orders. (English) Zbl 1358.30001 J. Math. Anal. Appl. 438, No. 2, 920-945 (2016). Reviewer: Praveen Agarwal (Jaipur) MSC: 30B10 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} and \textit{J. Sanz}, J. Math. Anal. Appl. 438, No. 2, 920--945 (2016; Zbl 1358.30001) Full Text: DOI arXiv OpenURL
Gaĭsin, A. M.; Gaĭsin, R. A. Noncomplete systems of exponentials on arcs and Carleman nonquasianalytic classes. II. (English. Russian original) Zbl 1335.30002 St. Petersbg. Math. J. 27, No. 1, 33-50 (2016); translation from Algebra Anal. 27, No. 1, 49-73 (2015). MSC: 30B60 PDF BibTeX XML Cite \textit{A. M. Gaĭsin} and \textit{R. A. Gaĭsin}, St. Petersbg. Math. J. 27, No. 1, 33--50 (2016; Zbl 1335.30002); translation from Algebra Anal. 27, No. 1, 49--73 (2015) Full Text: DOI OpenURL
Gaǐsin, R. A. Estimation of intermediate derivatives and a Bang-type theorem. I. (English. Russian original) Zbl 1345.26041 St. Petersbg. Math. J. 27, No. 1, 15-31 (2016); translation from Algebra Anal. 27, No. 1, 23-48 (2015). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 26E10 PDF BibTeX XML Cite \textit{R. A. Gaǐsin}, St. Petersbg. Math. J. 27, No. 1, 15--31 (2016; Zbl 1345.26041); translation from Algebra Anal. 27, No. 1, 23--48 (2015) Full Text: DOI OpenURL
Klotz, Andreas Inverse closed ultradifferential subalgebras. (English) Zbl 1329.46044 J. Math. Anal. Appl. 409, No. 2, 615-629 (2014). Reviewer: Mati Abel (Tartu) MSC: 46H10 46J30 PDF BibTeX XML Cite \textit{A. Klotz}, J. Math. Anal. Appl. 409, No. 2, 615--629 (2014; Zbl 1329.46044) Full Text: DOI arXiv OpenURL
Rainer, Armin; Schindl, Gerhard Composition in ultradifferentiable classes. (English) Zbl 1318.26053 Stud. Math. 224, No. 2, 97-131 (2014). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 26E10 46E10 47B33 30D60 PDF BibTeX XML Cite \textit{A. Rainer} and \textit{G. Schindl}, Stud. Math. 224, No. 2, 97--131 (2014; Zbl 1318.26053) Full Text: DOI arXiv OpenURL
Infusino, Maria; Kuna, Tobias; Rota, Aldo The full infinite dimensional moment problem on semi-algebraic sets of generalized functions. (English) Zbl 1310.46038 J. Funct. Anal. 267, No. 5, 1382-1418 (2014). MSC: 46F10 44A60 28C05 28C20 28C15 PDF BibTeX XML Cite \textit{M. Infusino} et al., J. Funct. Anal. 267, No. 5, 1382--1418 (2014; Zbl 1310.46038) Full Text: DOI arXiv OpenURL
Krivosheyeva, O. A. Singular points of the sum of a series of exponential monomials on the boundary of the convergence domain. (English. Russian original) Zbl 1296.30006 St. Petersbg. Math. J. 23, No. 2, 321-350 (2012); translation from Algebra Anal. 23, No. 2, 162-205 (2011). MSC: 30B50 PDF BibTeX XML Cite \textit{O. A. Krivosheyeva}, St. Petersbg. Math. J. 23, No. 2, 321--350 (2012; Zbl 1296.30006); translation from Algebra Anal. 23, No. 2, 162--205 (2011) Full Text: DOI OpenURL
Lastra, Alberto; Sanz, Javier Quasi-analyticity in Carleman ultraholomorphic classes. (English) Zbl 1208.30035 Ann. Inst. Fourier 60, No. 5, 1629-1648 (2010). Reviewer: Alexander Tovstolis (Donetsk) MSC: 30D60 32A38 32A40 PDF BibTeX XML Cite \textit{A. Lastra} and \textit{J. Sanz}, Ann. Inst. Fourier 60, No. 5, 1629--1648 (2010; Zbl 1208.30035) Full Text: DOI arXiv Numdam EuDML OpenURL
Adwan, Ziad; Hoepfner, Gustavo Approximate solutions and micro-regularity in the Denjoy-Carleman classes. (English) Zbl 1205.35008 J. Differ. Equations 249, No. 9, 2269-2286 (2010). MSC: 35A27 35F10 PDF BibTeX XML Cite \textit{Z. Adwan} and \textit{G. Hoepfner}, J. Differ. Equations 249, No. 9, 2269--2286 (2010; Zbl 1205.35008) Full Text: DOI OpenURL
Lastra, Alberto; Sanz, Javier Extension operators in Carleman ultraholomorphic classes. (English) Zbl 1210.47025 J. Math. Anal. Appl. 372, No. 1, 287-305 (2010). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A20 46E15 46E40 PDF BibTeX XML Cite \textit{A. Lastra} and \textit{J. Sanz}, J. Math. Anal. Appl. 372, No. 1, 287--305 (2010; Zbl 1210.47025) Full Text: DOI OpenURL
Shamoyan, F. A. On Fourier transforms of functions of the R. Nevanlinna class in the half-plane. (English. Russian original) Zbl 1206.42004 St. Petersbg. Math. J. 20, No. 4, 665-680 (2009); translation from Algebra Anal. 20, No. 4, 218-240 (2008). MSC: 42A38 30H05 30D15 46E15 PDF BibTeX XML Cite \textit{F. A. Shamoyan}, St. Petersbg. Math. J. 20, No. 4, 665--680 (2009; Zbl 1206.42004); translation from Algebra Anal. 20, No. 4, 218--240 (2008) Full Text: DOI OpenURL
Trunov, K. V.; Yulmukhametov, R. S. Quasianalytic Carleman classes on bounded domains. (English. Russian original) Zbl 1206.30049 St. Petersbg. Math. J. 20, No. 2, 289-317 (2009); translation from Algebra Anal. 20, No. 2, 178-217 (2008). MSC: 30D60 PDF BibTeX XML Cite \textit{K. V. Trunov} and \textit{R. S. Yulmukhametov}, St. Petersbg. Math. J. 20, No. 2, 289--317 (2009; Zbl 1206.30049); translation from Algebra Anal. 20, No. 2, 178--217 (2008) Full Text: DOI OpenURL
Shkarin, S. Pointwise universal trigonometric series. (English) Zbl 1185.42004 J. Math. Anal. Appl. 360, No. 2, 754-758 (2009). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42A32 30B10 PDF BibTeX XML Cite \textit{S. Shkarin}, J. Math. Anal. Appl. 360, No. 2, 754--758 (2009; Zbl 1185.42004) Full Text: DOI arXiv OpenURL
Cicognani, Massimo; Colombini, Ferruccio Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem. (English) Zbl 1132.35053 J. Math. Anal. Appl. 333, No. 2, 1237-1253 (2007). Reviewer: K. Kajitani (Ibaraki) MSC: 35L15 35L80 PDF BibTeX XML Cite \textit{M. Cicognani} and \textit{F. Colombini}, J. Math. Anal. Appl. 333, No. 2, 1237--1253 (2007; Zbl 1132.35053) Full Text: DOI OpenURL
Calvo, Daniela; Morando, Alessandro; Rodino, Luigi Inhomogeneous Gevrey classes and ultradistributions. (English) Zbl 1065.46026 J. Math. Anal. Appl. 297, No. 2, 720-739 (2004). Reviewer: Maria Carmen Fernandez Rosell (Valencia) MSC: 46F05 46F12 PDF BibTeX XML Cite \textit{D. Calvo} et al., J. Math. Anal. Appl. 297, No. 2, 720--739 (2004; Zbl 1065.46026) Full Text: DOI OpenURL
Berezansky, Yurij M. Some generalizations of the classical moment problem. (English) Zbl 1031.47010 Integral Equations Oper. Theory 44, No. 3, 255-289 (2002). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 47A57 47A70 PDF BibTeX XML Cite \textit{Y. M. Berezansky}, Integral Equations Oper. Theory 44, No. 3, 255--289 (2002; Zbl 1031.47010) Full Text: DOI OpenURL
Deng, Guantie A generlization of Malliavin’s uniqueness theorem. (English) Zbl 0985.30018 Kodai Math. J. 23, No. 3, 320-325 (2000). Reviewer: T.Nakazi (Sapporo) MSC: 30D20 30E05 26E10 PDF BibTeX XML Cite \textit{G. Deng}, Kodai Math. J. 23, No. 3, 320--325 (2000; Zbl 0985.30018) Full Text: DOI OpenURL
Gallagher, P. X. Translation invariants for periodic Denjoy-Carleman classes. (English) Zbl 0831.26014 Proc. Am. Math. Soc. 120, No. 1, 139-141 (1994). Reviewer: V.V.Peller (Manhattan) MSC: 26E10 PDF BibTeX XML Cite \textit{P. X. Gallagher}, Proc. Am. Math. Soc. 120, No. 1, 139--141 (1994; Zbl 0831.26014) Full Text: DOI OpenURL
Chung, Soon-Yeong; Kim, Dohan Equivalence of the defining sequences for ultradistributions. (English) Zbl 0799.46049 Proc. Am. Math. Soc. 118, No. 1, 93-94 (1993). Reviewer: J.Musielak (Poznań) MSC: 46F05 PDF BibTeX XML Cite \textit{S.-Y. Chung} and \textit{D. Kim}, Proc. Am. Math. Soc. 118, No. 1, 93--94 (1993; Zbl 0799.46049) Full Text: DOI OpenURL
Allouche, M.; Couture, R.; Tsai, C. T. Construction of characteristic functions for classes of infinitely differentiable functions. (English) Zbl 0732.26020 Proc. Am. Math. Soc. 111, No. 1, 119-126 (1991). Reviewer: W.Pleśniak (Kraków) MSC: 26E10 47B15 PDF BibTeX XML Cite \textit{M. Allouche} et al., Proc. Am. Math. Soc. 111, No. 1, 119--126 (1991; Zbl 0732.26020) Full Text: DOI OpenURL
Siddiqi, Jamil A. Inverse-closed Carleman algebras of infinitely differentiable functions. (English) Zbl 0704.46016 Proc. Am. Math. Soc. 109, No. 2, 357-367 (1990). Reviewer: J.Appell MSC: 46E25 46E10 30D60 PDF BibTeX XML Cite \textit{J. A. Siddiqi}, Proc. Am. Math. Soc. 109, No. 2, 357--367 (1990; Zbl 0704.46016) Full Text: DOI OpenURL
Siddiqi, Jamil A.; Ider, Mostéfa A symbolic calculus for analytic Carleman classes. (English) Zbl 0626.46012 Proc. Am. Math. Soc. 99, 347-359 (1987). MSC: 46E25 30D60 PDF BibTeX XML Cite \textit{J. A. Siddiqi} and \textit{M. Ider}, Proc. Am. Math. Soc. 99, 347--359 (1987; Zbl 0626.46012) Full Text: DOI OpenURL
Colombini, Ferruccio; Jannelli, Enrico; Spagnolo, Sergio Hyperbolic equations and classes of infinitely differentiable functions. (English) Zbl 0609.35049 Ann. Mat. Pura Appl., IV. Ser. 143, 187-195 (1986). Reviewer: N.Maria MSC: 35L15 35A20 35A05 35B65 PDF BibTeX XML Cite \textit{F. Colombini} et al., Ann. Mat. Pura Appl. (4) 143, 187--195 (1986; Zbl 0609.35049) Full Text: DOI OpenURL
Noell, Alan V. Analyticity in the boundary of a pseudoconvex domain. (English) Zbl 0588.32008 Proc. Am. Math. Soc. 94, 450-454 (1985). Reviewer: M.Schottenloher MSC: 32A40 32T99 32A38 32V40 32C05 32J99 32D99 46J15 PDF BibTeX XML Cite \textit{A. V. Noell}, Proc. Am. Math. Soc. 94, 450--454 (1985; Zbl 0588.32008) Full Text: DOI OpenURL
Sorokivskij, V. M. Growth of analytic functions represented by Dirichlet series. (English) Zbl 0561.30005 Ukr. Math. J. 36, 431-435 (1984). MSC: 30B50 PDF BibTeX XML Cite \textit{V. M. Sorokivskij}, Ukr. Math. J. 36, 431--435 (1984; Zbl 0561.30005) Full Text: DOI OpenURL
Blambert, M.; Parvatham, R. On the singularities of analytic functions defined by L-Dirichletian elements. (English) Zbl 0478.30004 J. Math. Anal. Appl. 82, 292-294 (1981). MSC: 30B50 30B40 40A05 30C10 PDF BibTeX XML Cite \textit{M. Blambert} and \textit{R. Parvatham}, J. Math. Anal. Appl. 82, 292--294 (1981; Zbl 0478.30004) Full Text: DOI OpenURL
Fattorini, H. O. Structure theorems for vector valued ultradistributions. (English) Zbl 0444.46025 J. Funct. Anal. 39, 381-407 (1980). MSC: 46F05 46F10 46F15 PDF BibTeX XML Cite \textit{H. O. Fattorini}, J. Funct. Anal. 39, 381--407 (1980; Zbl 0444.46025) Full Text: DOI OpenURL
Berenstein, Carlos A.; Taylor, B. A. A new look at interpolation theory for entire functions of one variable. (English) Zbl 0432.30028 Adv. Math. 33, 109-143 (1979). MSC: 30E05 30D20 42A75 PDF BibTeX XML Cite \textit{C. A. Berenstein} and \textit{B. A. Taylor}, Adv. Math. 33, 109--143 (1979; Zbl 0432.30028) Full Text: DOI OpenURL
Cioranescu, Joana; Zsidó, Lászlo A minimum modulus theorem and applications to ultradifferential operators. (English) Zbl 0413.46031 Ark. Mat. 17, 153-166 (1979). MSC: 46F05 46F10 47F05 PDF BibTeX XML Cite \textit{J. Cioranescu} and \textit{L. Zsidó}, Ark. Mat. 17, 153--166 (1979; Zbl 0413.46031) Full Text: DOI OpenURL
Lambert, André Quelques théorème de décomposition des ultradistributions. (French) Zbl 0396.46038 Ann. Inst. Fourier 29, No. 3, 57-100 (1979). MSC: 46F05 46F99 PDF BibTeX XML Cite \textit{A. Lambert}, Ann. Inst. Fourier 29, No. 3, 57--100 (1979; Zbl 0396.46038) Full Text: DOI Numdam EuDML OpenURL
Blambert, Maurice; Parvatham, R. Ultraconvergence et singularités pour une classe de séries d’exponentielles. (French) Zbl 0386.30001 Ann. Inst. Fourier 29, No. 1, 239-262 (1979). MSC: 30B50 30E05 30D10 PDF BibTeX XML Cite \textit{M. Blambert} and \textit{R. Parvatham}, Ann. Inst. Fourier 29, No. 1, 239--262 (1979; Zbl 0386.30001) Full Text: DOI Numdam EuDML OpenURL
Redheffer, Raymond M. Completeness of sets of complex exponentials. (English) Zbl 0358.42007 Adv. Math. 24, 1-62 (1977). MSC: 42A65 41A30 30D15 PDF BibTeX XML Cite \textit{R. M. Redheffer}, Adv. Math. 24, 1--62 (1977; Zbl 0358.42007) Full Text: DOI OpenURL
Chernoff, Paul R. Quasi-analytic vectors and quasi-analytic functions. (English) Zbl 0304.47032 Bull. Am. Math. Soc. 81, 637-646 (1975). MSC: 47B25 26E10 30D55 47D03 PDF BibTeX XML Cite \textit{P. R. Chernoff}, Bull. Am. Math. Soc. 81, 637--646 (1975; Zbl 0304.47032) Full Text: DOI OpenURL
Dales, H. G.; Davie, A. M. Quasianalytic Banach function algebras. (English) Zbl 0254.46027 J. Funct. Anal. 13, 28-50 (1973). MSC: 46J10 46J15 46J20 PDF BibTeX XML Cite \textit{H. G. Dales} and \textit{A. M. Davie}, J. Funct. Anal. 13, 28--50 (1973; Zbl 0254.46027) Full Text: DOI OpenURL
Goodhue, William L. On the regularity of the Riemann function for hyperbolic equations. (English) Zbl 0254.35084 Trans. Am. Math. Soc. 175, 483-490 (1973). MSC: 35L45 PDF BibTeX XML Cite \textit{W. L. Goodhue}, Trans. Am. Math. Soc. 175, 483--490 (1973; Zbl 0254.35084) Full Text: DOI OpenURL
Neuberger, J. W. Quasi-analyticity and semigroups. (English) Zbl 0257.26009 Bull. Am. Math. Soc. 78, 909-922 (1972). MSC: 26E10 42A55 47D03 47J05 60J25 PDF BibTeX XML Cite \textit{J. W. Neuberger}, Bull. Am. Math. Soc. 78, 909--922 (1972; Zbl 0257.26009) Full Text: DOI OpenURL
Mandelbrojt, Szolem Rélations entre la convexite dans le complexe et le prolongement des propriétés dans le réel. (French) Zbl 0252.30031 Ann. Inst. Fourier 22, No. 4, 13-46 (1972). MSC: 30D10 30B40 42A55 30B50 PDF BibTeX XML Cite \textit{S. Mandelbrojt}, Ann. Inst. Fourier 22, No. 4, 13--46 (1972; Zbl 0252.30031) Full Text: DOI Numdam EuDML OpenURL
Anderson, J. M.; Binmore, K. G. Closure theorems with applications to entire functions with gaps. (English) Zbl 0224.30007 Trans. Am. Math. Soc. 161, 381-400 (1971). MSC: 30B50 30D15 PDF BibTeX XML Cite \textit{J. M. Anderson} and \textit{K. G. Binmore}, Trans. Am. Math. Soc. 161, 381--400 (1971; Zbl 0224.30007) Full Text: DOI OpenURL
Sledd, W. T. Coefficient estimates for Dirichlet series. (English) Zbl 0201.40401 Trans. Am. Math. Soc. 150, 69-76 (1970). PDF BibTeX XML Cite \textit{W. T. Sledd}, Trans. Am. Math. Soc. 150, 69--76 (1970; Zbl 0201.40401) Full Text: DOI OpenURL
Groening, W. A. Analytic functions with quasi-analytic boundary values. (English) Zbl 0186.39404 Trans. Am. Math. Soc. 143, 95-107 (1969). PDF BibTeX XML Cite \textit{W. A. Groening}, Trans. Am. Math. Soc. 143, 95--107 (1969; Zbl 0186.39404) Full Text: DOI OpenURL
Ferrier, Jean-Pierre Ensembles spectraux et approximation polynômiale ponderée. (French) Zbl 0169.09101 Bull. Soc. Math. Fr. 96, 289-335 (1968). PDF BibTeX XML Cite \textit{J.-P. Ferrier}, Bull. Soc. Math. Fr. 96, 289--335 (1968; Zbl 0169.09101) Full Text: DOI Numdam EuDML OpenURL
Mandelbrojt, Szolem Exponentielles associees à ensemble transformees de Fourier généralisées. (French) Zbl 0185.37002 Ann. Inst. Fourier 17, No. 1, 325-351 (1967). PDF BibTeX XML Cite \textit{S. Mandelbrojt}, Ann. Inst. Fourier 17, No. 1, 325--351 (1967; Zbl 0185.37002) Full Text: DOI Numdam EuDML OpenURL
Geymonat, G. Proprieta di alcuni spazi di funzioni indefinitamente derivabili a valori vettoriali. (Italian) Zbl 0182.45602 Ann. Mat. Pura Appl., IV. Ser. 76, 203-231 (1967). PDF BibTeX XML Cite \textit{G. Geymonat}, Ann. Mat. Pura Appl. (4) 76, 203--231 (1967; Zbl 0182.45602) Full Text: DOI OpenURL
Lions, J. L.; Magenes, E. Espaces du type de Gevrey et problèmes aux limites pour diverses classes d’équations d’évolution. (French) Zbl 0173.43206 Ann. Mat. Pura Appl., IV. Ser. 72, 343-394 (1966). PDF BibTeX XML Cite \textit{J. L. Lions} and \textit{E. Magenes}, Ann. Mat. Pura Appl. (4) 72, 343--394 (1966; Zbl 0173.43206) Full Text: DOI OpenURL
Lions, J. L.; Magenes, E. Espaces de fonctions et distributions du type de Gevrey et problèmes aux limites paraboliques. (French) Zbl 0138.08401 Ann. Mat. Pura Appl., IV. Ser. 68, 341-417 (1965). PDF BibTeX XML Cite \textit{J. L. Lions} and \textit{E. Magenes}, Ann. Mat. Pura Appl. (4) 68, 341--417 (1965; Zbl 0138.08401) Full Text: DOI OpenURL
Akutowicz, Edwin J. Sur l’approximation par distributions à support discret. (French) Zbl 0107.09104 Ann. Sci. Éc. Norm. Supér., III. Sér. 79, 71-91 (1962). PDF BibTeX XML Cite \textit{E. J. Akutowicz}, Ann. Sci. Éc. Norm. Supér. (3) 79, 71--91 (1962; Zbl 0107.09104) Full Text: DOI Numdam EuDML OpenURL
Malliavin, Paul; Rubel, L. A. On small entire functions of exponential type with given zeros. (English) Zbl 0126.29002 Bull. Soc. Math. Fr. 89, 175-206 (1961). PDF BibTeX XML Cite \textit{P. Malliavin} and \textit{L. A. Rubel}, Bull. Soc. Math. Fr. 89, 175--206 (1961; Zbl 0126.29002) Full Text: DOI Numdam EuDML OpenURL
Roumieu, Charles Sur quelques extensions de la notion de distribution. (French) Zbl 0104.33403 Ann. Sci. Éc. Norm. Supér., III. Sér. 77, 41-121 (1960). PDF BibTeX XML Cite \textit{C. Roumieu}, Ann. Sci. Éc. Norm. Supér. (3) 77, 41--121 (1960; Zbl 0104.33403) Full Text: DOI Numdam EuDML OpenURL
Mandelbrojt, Szolem Sur un problème de Gelfand et Šilov. (French) Zbl 0095.04703 Ann. Sci. Éc. Norm. Supér., III. Sér. 77, 145-166 (1960). PDF BibTeX XML Cite \textit{S. Mandelbrojt}, Ann. Sci. Éc. Norm. Supér. (3) 77, 145--166 (1960; Zbl 0095.04703) Full Text: DOI Numdam EuDML OpenURL
Malliavin, Paul Calcul symbolique et sous-algèbres de \(L_1(G)\). (Suite.). (French) Zbl 0093.12701 Bull. Soc. Math. Fr. 87, 187-190 (1959). PDF BibTeX XML Cite \textit{P. Malliavin}, Bull. Soc. Math. Fr. 87, 187--190 (1959; Zbl 0093.12701) Full Text: DOI Numdam EuDML OpenURL
R.-Salinas, Baltasar Disuguaglianze tra limiti e coefficienti dello sviluppo asintotico di una funzione in un angolo. (Italian) Zbl 0093.07502 Ann. Mat. Pura Appl., IV. Ser. 48, 147-159 (1959). PDF BibTeX XML Cite \textit{B. R. -Salinas}, Ann. Mat. Pura Appl. (4) 48, 147--159 (1959; Zbl 0093.07502) Full Text: DOI OpenURL
Kahane, Jean-Pierre On the totality of imaginary exponential sequences. (Sur la totalité des suites d’exponentielles imaginaires.) (French) Zbl 0086.27302 Ann. Inst. Fourier 8, 273-275 (1958). Reviewer: J. Horváth (Paris) MSC: 42-XX PDF BibTeX XML Cite \textit{J.-P. Kahane}, Ann. Inst. Fourier 8, 273--275 (1958; Zbl 0086.27302) Full Text: DOI Numdam EuDML OpenURL
Tanaka, Chuji On Julia-lines of Dirichlet series. (English) Zbl 0086.06002 Kōdai Math. Semin. Rep. 10, 161-171 (1958). PDF BibTeX XML Cite \textit{C. Tanaka}, Kōdai Math. Semin. Rep. 10, 161--171 (1958; Zbl 0086.06002) Full Text: DOI OpenURL
Mandelbrojt, Szolem Analytic functions and harmonic analysis. (Fonctions analytiques et analyse harmonique.) (French) Zbl 0173.42302 Ann. Sci. Éc. Norm. Supér., III. Sér. 74, 1-23 (1957). PDF BibTeX XML Cite \textit{S. Mandelbrojt}, Ann. Sci. Éc. Norm. Supér. (3) 74, 1--23 (1957; Zbl 0173.42302) Full Text: DOI Numdam EuDML OpenURL
Lalaguë, Pierre Sur certaines classes de fonctions indéfiniment dérivables. (French) Zbl 0066.30201 Ann. Sci. Éc. Norm. Supér., III. Sér. 72, 237-298 (1955). PDF BibTeX XML Cite \textit{P. Lalaguë}, Ann. Sci. Éc. Norm. Supér. (3) 72, 237--298 (1955; Zbl 0066.30201) Full Text: DOI Numdam EuDML OpenURL
Malliavin, Paul La quasi-analyticité généralisée sur un intervalle borné. (French) Zbl 0064.30001 Ann. Sci. Éc. Norm. Supér., III. Sér. 72, 93-101 (1955). PDF BibTeX XML Cite \textit{P. Malliavin}, Ann. Sci. Éc. Norm. Supér. (3) 72, 93--101 (1955; Zbl 0064.30001) Full Text: DOI Numdam OpenURL
Kahane, Jean-Pierre Sur quelques problèmes d’unicité et de prolongement, rélatifs aux fonctions approchables par des sommes d’exponentielles. (French) Zbl 0064.35903 Ann. Inst. Fourier 5, 39-130 (1953/54). PDF BibTeX XML Cite \textit{J.-P. Kahane}, Ann. Inst. Fourier 5, 39--130 (1954; Zbl 0064.35903) Full Text: DOI Numdam EuDML OpenURL