Wang, Haoran Improved time-decay for a class of many-magnetic Schrödinger flows. (English) Zbl 07799721 J. Math. Anal. Appl. 533, No. 2, Article ID 128024, 9 p. (2024). MSC: 35Q55 35Q60 78A30 81Q70 81Q10 35J10 42B37 PDFBibTeX XMLCite \textit{H. Wang}, J. Math. Anal. Appl. 533, No. 2, Article ID 128024, 9 p. (2024; Zbl 07799721) Full Text: DOI arXiv
Dang, Pei; Mai, Weixiong Improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle. (English) Zbl 07792555 J. Geom. Anal. 34, No. 3, Paper No. 70, 26 p. (2024). MSC: 42B10 81Q10 46E35 26D10 PDFBibTeX XMLCite \textit{P. Dang} and \textit{W. Mai}, J. Geom. Anal. 34, No. 3, Paper No. 70, 26 p. (2024; Zbl 07792555) Full Text: DOI arXiv
Stempak, Krzysztof Harmonic analysis associated with the Jacobi-Dunkl operator on \((-\pi, \pi)\): exotic cases. (English) Zbl 1512.42043 Complex Anal. Oper. Theory 17, No. 3, Paper No. 39, 33 p. (2023). MSC: 42C10 47B25 42C99 34L40 44A15 PDFBibTeX XMLCite \textit{K. Stempak}, Complex Anal. Oper. Theory 17, No. 3, Paper No. 39, 33 p. (2023; Zbl 1512.42043) Full Text: DOI
Guliyev, Namig J. A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter. (English) Zbl 1428.42057 Anal. Math. Phys. 10, No. 1, Paper No. 2, 8 p. (2020). MSC: 42C15 42C30 15B05 34B07 34L10 34L40 46B15 46C05 46E30 47A20 47B25 47E05 PDFBibTeX XMLCite \textit{N. J. Guliyev}, Anal. Math. Phys. 10, No. 1, Paper No. 2, 8 p. (2020; Zbl 1428.42057) Full Text: DOI arXiv
Aharonov, Yakir; Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff The mathematics of superoscillations. (English) Zbl 1383.42002 Mem. Am. Math. Soc. 1174, vi, 105 p. (2017). Reviewer: Raymond Johnson (Columbia) MSC: 42A16 81P15 81Q10 47B38 35Q41 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., The mathematics of superoscillations. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1383.42002) Full Text: DOI arXiv
Storch, Uwe; Wiebe, Hartmut Workbook for linear algebra. Problems and solutions. (Arbeitsbuch zur Linearen Algebra. Aufgaben und Lösungen.) (German) Zbl 1316.15001 Heidelberg: Springer Spektrum (ISBN 978-3-662-45560-9/pbk; 978-3-662-45561-6/ebook). vii, 253 p. (2015). Reviewer: Werner Kleinert (Berlin) MSC: 15-01 00A05 00A06 00A07 15A03 15A06 15A04 15A15 15A18 15A63 15B57 15A60 46C05 42A16 34A30 PDFBibTeX XMLCite \textit{U. Storch} and \textit{H. Wiebe}, Arbeitsbuch zur Linearen Algebra. Aufgaben und Lösungen. Heidelberg: Springer Spektrum (2015; Zbl 1316.15001) Full Text: DOI
Jorgensen, Palle; Pedersen, Steen; Tian, Feng Spectral theory of multiple intervals. (English) Zbl 1304.47082 Trans. Am. Math. Soc. 367, No. 3, 1671-1735 (2015). MSC: 47L60 47A25 47B25 35F15 42C10 34L25 35Q40 81Q35 81U35 46L45 46F12 PDFBibTeX XMLCite \textit{P. Jorgensen} et al., Trans. Am. Math. Soc. 367, No. 3, 1671--1735 (2015; Zbl 1304.47082) Full Text: DOI arXiv
Stoiciu, M. Spectral properties of random and deterministic CMV matrices. (English) Zbl 1304.81083 Math. Model. Nat. Phenom. 9, No. 5, 270-281 (2014). MSC: 81Q10 47B06 42C05 34L40 PDFBibTeX XMLCite \textit{M. Stoiciu}, Math. Model. Nat. Phenom. 9, No. 5, 270--281 (2014; Zbl 1304.81083) Full Text: DOI Link
Agboola, Davids; Links, Jon; Marquette, Ian; Zhang, Yao-Zhong New quasi-exactly solvable class of generalized isotonic oscillators. (English) Zbl 1300.81032 J. Phys. A, Math. Theor. 47, No. 39, Article ID 395305, 17 p. (2014). MSC: 81Q10 33C45 42C05 34L15 65L15 81Q05 81R15 81Q40 81U15 PDFBibTeX XMLCite \textit{D. Agboola} et al., J. Phys. A, Math. Theor. 47, No. 39, Article ID 395305, 17 p. (2014; Zbl 1300.81032) Full Text: DOI arXiv
Goloshchapova, N. I.; Zastavnyi, V. P.; Malamud, M. M. Positive definite functions and spectral properties of the Schrödinger operator with point interactions. (English. Russian original) Zbl 1244.47040 Math. Notes 90, No. 1, 149-154 (2011); translation from Mat. Zametki 90, No. 1, 151-156 (2011). Reviewer: Leonid Golinskii (Kharkov) MSC: 47F05 47A10 47B25 42A82 35P05 35J10 PDFBibTeX XMLCite \textit{N. I. Goloshchapova} et al., Math. Notes 90, No. 1, 149--154 (2011; Zbl 1244.47040); translation from Mat. Zametki 90, No. 1, 151--156 (2011) Full Text: DOI
Anh, Bui The Notes on boundedness of spectral multipliers on Hardy spaces associated to operators. (English) Zbl 1228.42014 Nagoya Math. J. 203, 109-122 (2011). Reviewer: Yang Dachun (Beijing) MSC: 42B15 42B30 42B35 47B25 30H10 34L05 PDFBibTeX XMLCite \textit{B. T. Anh}, Nagoya Math. J. 203, 109--122 (2011; Zbl 1228.42014) Full Text: DOI
Benedetto, John J.; Kebo, Andrew The role of frame force in quantum detection. (English) Zbl 1152.42006 J. Fourier Anal. Appl. 14, No. 3, 443-474 (2008). MSC: 42C15 81P15 42C99 34G99 81Q10 65T60 PDFBibTeX XMLCite \textit{J. J. Benedetto} and \textit{A. Kebo}, J. Fourier Anal. Appl. 14, No. 3, 443--474 (2008; Zbl 1152.42006) Full Text: DOI
Duong, Xuan Thinh; Ouhabaz, El Maati; Yan, Lixin Endpoint estimates for Riesz transforms of magnetic Schrödinger operators. (English) Zbl 1172.35370 Ark. Mat. 44, No. 2, 261-275 (2006). MSC: 35J10 35Q40 42B20 47F05 81Q10 PDFBibTeX XMLCite \textit{X. T. Duong} et al., Ark. Mat. 44, No. 2, 261--275 (2006; Zbl 1172.35370) Full Text: DOI
Gala, Sadek The form boundedness criterion for the Laplacian operator. (English) Zbl 1168.35337 J. Math. Anal. Appl. 323, No. 2, 1253-1263 (2006). MSC: 35J05 42B20 47F05 81Q10 PDFBibTeX XMLCite \textit{S. Gala}, J. Math. Anal. Appl. 323, No. 2, 1253--1263 (2006; Zbl 1168.35337) Full Text: DOI
Verbitsky, I. E. Trace inequalities with indefinite weights and Schrödinger operators. (English) Zbl 1116.47042 Taskinen, Jari (ed.), Function spaces and operator theory. Proceedings of the summer school, Joensuu, Finland, May 19–23, 2003. Joensuu: University of Joensuu, Department of Mathematics (ISBN 952-458-717-3/pbk). Report Series. Department of Mathematics, University of Joensuu 8, 55-72 (2005). Reviewer: Alan J. Pryde (Clayton) MSC: 47G10 47A30 46E35 47E05 26D15 35J10 42B20 47B35 47F05 81Q10 PDFBibTeX XMLCite \textit{I. E. Verbitsky}, Rep. Ser., Dept. Math. Univ. Joensuu 8, 55--72 (2005; Zbl 1116.47042)
Demuth, Michael; Krishna, M. Determining spectra in quantum theory. (English) Zbl 1082.81003 Progress in Mathematical Physics 44. Boston, MA: Birkhäuser (ISBN 0-8176-4366-4/hbk). x, 219 p. (2005). Reviewer: Horst Behncke (Osnabrück) MSC: 81-02 81Q10 35P05 42C40 47A10 47A40 47A55 47F05 47N50 81U05 PDFBibTeX XMLCite \textit{M. Demuth} and \textit{M. Krishna}, Determining spectra in quantum theory. Boston, MA: Birkhäuser (2005; Zbl 1082.81003)
Hogan, Jeffrey A.; Lakey, Joseph D. Time-frequency and time-scale methods. Adaptive decompositions, uncertainty principles, and sampling. (English) Zbl 1079.42027 Applied and Numerical Harmonic Analysis. Boston, MA: Birkhäuser (ISBN 0-8176-4276-5/hbk). xxii, 388 p. (2005). Reviewer: Wojciech Czaja (Wien) MSC: 42C40 42Cxx 42B05 42B20 42B25 42C10 42C15 42C30 62D05 65T60 81Q05 81Q10 81Q15 81Q20 81Qxx 94A12 94A20 PDFBibTeX XMLCite \textit{J. A. Hogan} and \textit{J. D. Lakey}, Time-frequency and time-scale methods. Adaptive decompositions, uncertainty principles, and sampling. Boston, MA: Birkhäuser (2005; Zbl 1079.42027)
Taşeli, H. Accurate numerical bounds for the spectral points of singular Sturm–Liouville problems over \(0 < x <\infty\). (English) Zbl 1037.81040 J. Comput. Appl. Math. 164-165, 707-722 (2004). MSC: 81Q10 81-08 81Q05 65L15 42C10 34L40 34B30 33C55 81V45 81V55 PDFBibTeX XMLCite \textit{H. Taşeli}, J. Comput. Appl. Math. 164--165, 707--722 (2004; Zbl 1037.81040) Full Text: DOI
Tachizawa, Kazuya Wavelets and eigenvalues of Schrödinger operators. (English. Japanese original) Zbl 1121.42025 Nomizu, Katsumi (ed.), Selected papers on analysis and differential equations. Transl. from the Japanese by Katsumi Nomizu. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3508-4/hbk). Transl., Ser. 2, Am. Math. Soc. 211, 107-120 (2003); translation from Sūgaku 53, No. 4, 373-386 (2001). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 42C40 35J10 35P20 47F05 81Q10 PDFBibTeX XMLCite \textit{K. Tachizawa}, Transl., Ser. 2, Am. Math. Soc. 211, 107--120 (2003; Zbl 1121.42025); translation from Sūgaku 53, No. 4, 373--386 (2001)
Krutikov, Denis Asymptotics of the Fourier transform of the spectral measure for Schrödinger operators with bounded and unbounded sparse potentials. (English) Zbl 1066.81009 J. Phys. A, Math. Gen. 35, No. 30, 6393-6417 (2002). MSC: 81Q10 34L40 42A38 47A10 47B39 PDFBibTeX XMLCite \textit{D. Krutikov}, J. Phys. A, Math. Gen. 35, No. 30, 6393--6417 (2002; Zbl 1066.81009) Full Text: DOI
Kiselev, Alexander Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and a. e. convergence of integral operators. (English) Zbl 0944.34072 Duke Math. J. 94, No. 3, 619-646 (1998). Reviewer: N.D.Sengupta (Bombay) MSC: 34L40 81Q10 47E05 47G10 42B25 PDFBibTeX XMLCite \textit{A. Kiselev}, Duke Math. J. 94, No. 3, 619--646 (1998; Zbl 0944.34072) Full Text: DOI
Sakhnovich, L. A. Classic spectral problems. (English) Zbl 0903.34019 Gohberg, I. (ed.) et al., Differential and integral operators. Vol. I. Proceedings of the international workshop on operator theory and applications, IWOTA 95, Regensburg, Germany, July 31-August 4, 1995. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 102, 243-254 (1998). Reviewer: A.Strauss (Ul’yanovsk) MSC: 34B20 34B30 34B24 42A38 47A57 47B25 PDFBibTeX XMLCite \textit{L. A. Sakhnovich}, in: Differential and integral operators. Vol. I. Proceedings of the international workshop on operator theory and applications, IWOTA 95, Regensburg, Germany, July 31-August 4, 1995. Basel: Birkhäuser. 243--254 (1998; Zbl 0903.34019)
Gavrilov, V. V. An analog of the Riesz-Fischer theorem for the Fourier transformation corresponding to a one-dimensional Schrödinger operator with measurable bounded potential. (English. Russian original) Zbl 0929.34070 Differ. Equations 33, No. 8, 1022-1027 (1997); translation from Differ. Uravn. 33, No. 8, 1017-1022 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34L40 42A38 47E05 34L05 PDFBibTeX XMLCite \textit{V. V. Gavrilov}, Differ. Equations 33, No. 8, 1022--1027 (1997; Zbl 0929.34070); translation from Differ. Uravn. 33, No. 8, 1017--1022 (1997)
Rabinovich, V. S. Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points. (English. Russian original) Zbl 0895.47033 Izv. Math. 60, No. 6, 1261-1292 (1996); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 6, 169-200 (1996). Reviewer: K.-H.Förster (Berlin) MSC: 47G10 46L99 45E10 35S05 35S30 47G30 42B20 47A53 PDFBibTeX XMLCite \textit{V. S. Rabinovich}, Izv. Math. 60, No. 6, 1261--1292 (1996; Zbl 0895.47033); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 6, 169--200 (1996) Full Text: DOI
Howard, Ralph; Reese, Margaret Characterization of eigenfunctions by boundedness conditions. (English) Zbl 0764.35068 Can. Math. Bull. 35, No. 2, 204-213 (1992). MSC: 35P05 35B35 35J05 42B10 PDFBibTeX XMLCite \textit{R. Howard} and \textit{M. Reese}, Can. Math. Bull. 35, No. 2, 204--213 (1992; Zbl 0764.35068) Full Text: DOI
Seeger, Andreas Endpoint estimates for multiplier transformations on compact manifolds. (English) Zbl 0737.42012 Indiana Univ. Math. J. 40, No. 2, 471-533 (1991). Reviewer: J.Marschall (Neubiberg) MSC: 42B15 35S99 PDFBibTeX XMLCite \textit{A. Seeger}, Indiana Univ. Math. J. 40, No. 2, 471--533 (1991; Zbl 0737.42012) Full Text: DOI
Picard, Rainer Hilbert space approach to some classical transforms. (English) Zbl 0753.44002 Pitman Research Notes in Mathematics Series. 196. Harlow: Longman Scientific & Technical. New York: John Wiley & Sons, Inc. 203 p. (1989). Reviewer: F. Rühs (Freiberg) MSC: 44A05 44A10 42A38 44-02 34A25 45P05 45C05 44A15 PDFBibTeX XMLCite \textit{R. Picard}, Hilbert space approach to some classical transforms. Harlow: Longman Scientific \&| Technical; New York: John Wiley \&| Sons, Inc. (1989; Zbl 0753.44002)
Lang, Serge Real analysis. 2nd ed. (English) Zbl 0502.46003 Reading, Massachusetts, etc.: Addison-Wesley Publishing Company, Advanced Book Program/World Science Division. XIV, 533 p. $ 23.95 (1983). MSC: 46-01 58-01 47-01 28-01 28B05 28C10 28Axx 42B10 43A70 46Bxx 46Cxx 46G05 46G10 47A05 47B06 47B25 58C15 58C20 46F10 46F12 26B20 58A10 58A05 PDFBibTeX XML
Kiselev, V. Yu. Almost periodic Fourier integral operators and some of their applications. (English) Zbl 0495.35065 Transl., Ser. 2, Am. Math. Soc. 118, 223-240 (1982). MSC: 35P20 42A75 47Gxx 35A30 35F15 35J30 35S05 41A60 47C15 47F05 45D05 47A10 PDFBibTeX XMLCite \textit{V. Yu. Kiselev}, Transl., Ser. 2, Am. Math. Soc. 118, 223--240 (1982; Zbl 0495.35065) Full Text: DOI
Gustafson, Karl E. Introduction to partial differential equations and Hilbert space methods. (English) Zbl 0434.35001 New York etc.: John Wiley and Sons. XV, 270 p. £10.00 (1980). MSC: 35-01 35A05 35A10 35A15 35A20 35A22 35A25 35A30 35A35 65M99 65N99 35B25 35B30 35B32 35B35 35B45 35B50 35C10 35C20 35J05 35K05 35L05 35P05 35P10 35Q99 42A05 42A10 42A15 42A16 42A65 44A15 46C05 46C99 47A05 47B06 47B25 65M06 65N06 65N30 65Z05 PDFBibTeX XML
Leis, R. Zur Theorie der Integraltransformationen. (German) Zbl 0411.35087 Math. Methods Appl. Sci. 1, 114-125 (1979). MSC: 35R20 35A22 35P10 44A05 42A38 PDFBibTeX XMLCite \textit{R. Leis}, Math. Methods Appl. Sci. 1, 114--125 (1979; Zbl 0411.35087) Full Text: DOI
Bottaro, Gianfranco; Oppezzi, Pirro Un’algebra di operatori ad integrale singolare su una nuova classe di funzioni. (Italian) Zbl 0363.46063 Boll. Unione Mat. Ital., V. Ser., B 14, 301-319 (1977). MSC: 46L99 46E35 46E30 42B25 47Gxx 47L05 PDFBibTeX XMLCite \textit{G. Bottaro} and \textit{P. Oppezzi}, Boll. Unione Mat. Ital., V. Ser., B 14, 301--319 (1977; Zbl 0363.46063)
Weidmann, Joachim Lineare Operatoren in Hilberträumen. (English) Zbl 0344.47001 Mathematische Leitfaden. Stuttgart: B.G. Teubner. 368 S. mit 93 Beisp. und 221 Aufg. DM 58.00 (1976). MSC: 47-01 46Cxx 47B10 47Gxx 35J10 46M05 47B06 46E30 42A38 47Axx 47B15 47B25 47F05 PDFBibTeX XML
Reed, Michael; Simon, Barry Methods of modern mathematical physics. II: Fourier analysis, self- adjointness. (English) Zbl 0308.47002 New York - San Francisco - London: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. XV, 361 p. $ 24.50; £11.75 (1975). MSC: 47-02 42-02 46F10 42A38 47B25 47F05 35R20 46N99 PDFBibTeX XML
Jörgens, Konrad Spectral theory of second-order ordinary differential operators. (English) Zbl 0226.47021 Lecture Notes Series. No. 2. Aarhus: Matematisk Institut, Aarhus Universitet. $ 3.50; D.kr. 23.00 (1964). MSC: 47-01 47E05 35J10 42C10 47D03 47A40 47N50 81Q05 47B25 47A10 47F05 35P25 PDFBibTeX XML