Sasane, Amol

Number of items: 105.
None
  • Sasane, Amol (2025). A mathematical introduction to general relativity. World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/14082
  • Sasane, Sara Maad, Sasane, Amol (2023). A friendly approach to complex analysis. World Scientific (Firm). https://doi.org/10.1142/13321
  • Sasane, Amol (2018). A potpourri of algebraic properties of the ring of periodic distributions. Bulletin of the Belgian Mathematical Society, 25(5), 755-776.
  • Sasane, Amol, Wagner, Peter (2013). Division problem for spatially periodic distributions. Journal of Mathematical Analysis and Applications, 408(1), 70-75. https://doi.org/10.1016/j.jmaa.2013.05.066
  • Mortini, Raymond, Sasane, Amol (2013). Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case. Archiv Der Mathematik, 101(6), 525-529. https://doi.org/10.1007/s00013-013-0592-2
  • Sasane, Amol (2013). A generalized chordal metric in control theory making strong stabilizability a robust property. Complex Analysis and Operator Theory, 7(4), 1345-1356. https://doi.org/10.1007/s11785-012-0239-5
  • Frentz, Marie, Sasane, Amol (2013). Reformulation of the extension of the ν-metric for H∞. Journal of Mathematical Analysis and Applications, 401(2), 659-971. https://doi.org/10.1016/j.jmaa.2012.12.062
  • Sasane, Amol (2013). Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems. Mathematical Control and Related Fields, 4(1), 115-124. https://doi.org/10.3934/mcrf.2014.4.115
  • Sarkar, Jaydeb, Sasane, Amol, Wick, Brett D. (2013). Doubly commuting submodules of the Hardy module over polydiscs. Studia Mathematica, 217(2), 179-192. https://doi.org/10.4064/sm217-2-5
  • Sasane, Amol (2012). Extension of the ν-metric for stabilizable plants over H∞. Mathematical Control and Related Fields, 2(1), 29-44. https://doi.org/10.3934/mcrf.2012.2.29
  • Ball, J. A., Sasane, Amol J. (2012). Extension of the ν-metric. Complex Analysis and Operator Theory, 6(1), 65-89. https://doi.org/10.1007/s11785-010-0097-y
  • Sasane, Amol (2012). Solvability of the H ∞ algebraic Riccati Equation in Banach algebras. Integral Equations and Operator Theory, 72(2), 291-299. https://doi.org/10.1007/s00020-011-1938-4
  • Bhattacharyya, T., Sasane, Amol J. (2011). Coherence of the real symmetric Hardy algebra. Operators and Matrices, 5(2), 303-308.
  • Maad Sasane, Sara, Sasane, Amol J. (2011). Generators for rings of compactly supported distributions. Integral Equations and Operator Theory, 69(1), 63-71. https://doi.org/10.1007/s00020-010-1842-3
  • Curtain, Ruth F., Sasane, Amol J. (2011). On Riccati equations in Banach algebras. SIAM Journal on Control and Optimization, 49(2), 464-475. https://doi.org/10.1137/100806011
  • Sasane, Amol J. (2010). An abstract Nyquist criterion containing old and new results. Journal of Mathematical Analysis and Applications, 370(2), 703-715. https://doi.org/10.1016/j.jmaa.2010.05.028
  • Mortini, Raymond, Sasane, Amol J. (2010). Some algebraic properties of the Wiener–Laplace algebra. Journal of Applied Analysis, 16(1), 79-94. https://doi.org/10.1515/JAA.2010.006
  • Mikkola, Kalle, Sasane, Amol (2010). Bass and topological stable ranks of complex and real algebras of measures, functions and sequences. Complex Analysis and Operator Theory, 4(2), 401-448. https://doi.org/10.1007/s11785-009-0009-1
  • Sasane, Amol (2010). The Hermite property of a causal Wiener algebra used in control theory. Complex Analysis and Operator Theory, 4(1), 97-107. https://doi.org/10.1007/s11785-008-0078-6
  • Sasane, Amol J. (2010). Contractability of the maximal ideal space of algebras of measures in a half-space. Operators and Matrices, 4(1), 103-118.
  • Mortini, Raymond, Sasane, Amol, Wick, Brett (2010). The Corona Theorem and stable rank for the algebra C plus BH infinity. Houston Journal of Mathematics, 36(1), 289-301.
  • Sasane, Amol (2010). Extension to an invertible matrix in convolution algebras of measures supported in [0,+ ∞). In Ball, J. A., Bolotnikov, V., Helton, J. W., Rodman, L. & Spitkovsky, I. M. (Eds.), Topics in Operator Theory: Operators, Matrices and Analytic Functions (pp. 509-518). Birkhauser, Springer Basel AG.
  • Mortini, Raymond, Rupp, Rudolf, Sasane, Amol J. (2010). Matricial topological ranks for two algebras of bounded holomorphic functions. Linear and Multilinear Algebra, 58(6), 741-752. https://doi.org/10.1080/03081080902945151
  • Rupp, R., Sasane, Amol (2010). On the stable rank and reducibility in algebras of real symmetric functions. Mathematische Nachrichten, 283(8), 1194-1206. https://doi.org/10.1002/mana.200710080
  • Mortini, Raymond, Rupp, Rudolf, Sasane, Amol, Wick, Brett D. (2010). Topological stable rank of H ∞(Ω) for circular domains Ω. Analysis Mathematica, 36(4), 287-297. https://doi.org/10.1007/s10476-010-0403-y
  • Rupp, Rudolf, Sasane, Amol (2009). Ideal structure and stable rank of Ce+l2(I) with the Hadamard product. Complex Analysis and Operator Theory, 4(4), 881-899. https://doi.org/10.1007/s11785-009-0027-z
  • Sasane, Amol (2009). Algebras of holomorphic functions and control theory. Dover Publications, Inc..
  • Sasane, Amol J. (2009). Stable ranks of Banach algebras of operator-valued analytic functions. Complex Analysis and Operator Theory, 3(1), 323-330. https://doi.org/10.1007/s11785-008-0046-1
  • Mortini, Raymond, Sasane, Amol (2009). Ideals of denominators in the disk-algebra. The Bulletin of the London Mathematical Society, 41(4), 669-675. https://doi.org/10.1112/blms/bdp057
  • Rupp, Rudolf, Sasane, Amol (2009). On the density of stabilizable plants in the class of unstabilizable plants: the real symmetric disk algebra case. Journal of the Franklin Institute, 346(8), 784-793. https://doi.org/10.1016/j.jfranklin.2009.04.004
  • Rupp, R., Sasane, A. (2009). Reducibility in AR(K), CR(K), and A(K). Canadian Journal of Mathematics, 62(3), 646-667. https://doi.org/10.4153/CJM-2010-025-9
  • Brudnyi, Alexander, Sasane, Amol (2009). Sufficient conditions for the projective freeness of Banach algebras. Journal of Functional Analysis, 257(12), 4003-4014. https://doi.org/10.1016/j.jfa.2009.05.003
  • Lasiecka, Irena, Maad, Sara, Sasane, Amol J. (2008). Existence and exponential decay of solutions to a quasilinear thermoelastic plate system. Nonlinear Differential Equations and Applications Nodea, 15(6), 689-715. https://doi.org/10.1007/s00030-008-0011-8
  • Sasane, Amol (2008). On the Krull dimension of rings of transfer functions. Acta Applicandae Mathematicae, 103(2), 161-168. https://doi.org/10.1007/s10440-008-9227-1
  • Sasane, Amol (2008). Noncoherence of a causal wiener algebra used in control theory. Abstract and Applied Analysis, 2008, 1-13. https://doi.org/10.1155/2008/459310
  • Mortini, Raymond, Sasane, Amol J. (2008). On the pre-Bezout property of Wiener algebras of the disc and the half plane. New Zealand Journal of Mathematics, 38, 45-55.
  • Mikkola, KM, Sasane, Amol (2007). A spectrally minimal realization formula for the Hardy algebra. Complex Analysis and Operator Theory, 1(4), 621-628. https://doi.org/10.1007/s11785-007-0021-2
  • Hovakimyan, N, Lavretsky, E, Sasane, Amol (2007). Dynamic inversion for nonaffine-in-control systems via time-scale separation. Journal of Dynamical and Control Systems, 13(4), 451-465. https://doi.org/10.1007/s10883-007-9029-1
  • Sasane, Amol, Treil, S R (2007). Estimates in corona theorems for some subalgebras of the Hardy space. Arkiv FöR Matematik, 45(2), 351-380. https://doi.org/10.1007/s11512-007-0044-y
  • Sasane, Amol (2007). An operator corona theorem for some subspaces of the Hardy space. Integral Equations and Operator Theory, 59(2), 245-256. https://doi.org/10.1007/s00020-007-1522-0
  • Mikkola, Kalle, Sasane, Amol J. (2007). Tolokonnikov’s Lemma for Real H ∞ and the Real Disc Algebra. Complex Analysis and Operator Theory, 1(3), 439-446. https://doi.org/10.1007/s11785-007-0016-z
  • Sasane, Amol (2007). Noncoherence of some rings of functions. Proceedings of the American Mathematical Society, 135(7), 2107-2111. https://doi.org/10.1090/S0002-9939-07-08704-7
  • Curtain, RF, Mikkola, KM, Sasane, Amol (2007). The Hilbert-Schmidt property of feedback operators. Journal of Mathematical Analysis and Applications, 329(2), 1145-1160. https://doi.org/10.1016/j.jmaa.2006.07.037
  • Sasane, Amol (2007). Properties of a subalgebra of H{infty}(D) and stabilization. IMA Journal of Mathematical Control and Information, 25(1), 1-21. https://doi.org/10.1093/imamci/dnm010
  • Sasane, Amol, Treil, Sergei (2006). Estimates in corona theorems for some subalgebras of the Hardy space. (CDAM research report LSE-CDAM-2006-09). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
  • Sasane, Amol (2006). An operator corona theorem for a class of subspaces of H∞. (CDAM research report series LSE-CDAM-2006-02). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
  • Sasane, Amol J, Ball, Joseph A (2006). Equivalence of a behavioral distance and the gap metric. Systems and Control Letters, 55(3), 214-222. https://doi.org/10.1016/j.sysconle.2005.07.007
  • Ball, J. A., Sasane, Amol J. (2006-07-24 - 2006-07-28) Hautus tests for the controllability and observability of multidimensional systems [Other]. 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, JPN.
  • Curtain, Ruth, Mikkola, Kalle, Sasane, Amol (2005). The Hilbert-Schmidt property of feedback operators. (CDAM research report series CDAM-LSE-2005-15). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
  • Sasane, Amol (2005). On the coherence of some irrational transfer function classes. (CDAM research report series CDAM-LSE-2005-16). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
  • Hovakimyan, Naira, Lavretsky, Eugene, Sasane, Amol J. (2005-06-08 - 2005-06-10) Dynamic inversion for nonaffine-in-control systems via time-scale separation: part 1 [Paper]. American Control conference, Portland, United States, USA.
  • Sasane, Amol (2005). Irrational transfer function classes, coprime factorization and stabilization. (CDAM research report CDAM-LSE-2005-08). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
  • Sasane, Amol (2005). Stability of switching infinite-dimensional systems. Automatica, 41(1), 75-78. https://doi.org/10.1016/j.automatica.2004.07.013
  • Hovakimyan, Naira, Lavretsky, Eugene, Sasane, Amol (2005). Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I. In Proceedings of the 2005 American Control Conference (June 8-June 10, 2005, Hilton Portland & Executive Tower, Portland, Oregon) (pp. 3542-3547). American Automatic Control Council; Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ACC.2005.1470522
  • Iftime, Orest, Kaashoek, Marinus, Sasane, Amol (2005). A Grassmannian band method approach to the Nehari-Takagi Problem. Journal of Mathematical Analysis and Applications, 310(1), 97-115. https://doi.org/10.1016/j.jmaa.2005.01.048
  • Ball, Joseph A., Mikkola, Kalle M., Sasane, Amol (2005). State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems. SIAM Journal on Control and Optimization, 44(2), 531-563. https://doi.org/10.1137/S0363012903433024
  • Ball, Joseph, Sasane, Amol J. (2004). Equivalence of a behavioral distance and the gap metric. (CDAM research report series LSE-CDAM-2004-17). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
  • Lftime, O.V., Kaashoek, M. A., Sandberg, H., Sasane, A. J. (2004-07-05 - 2004-07-09) A Grassmannian approach to the Hankel norm approximation problem [Paper]. Sixteenth International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, BEL.
  • Iftime, Orest V., Sasane, Amol J. (2004). Sub-optimal Hankel norm approximation problem: a frequency domain approach. Systems and Control Letters, 52(1), 75-83. https://doi.org/10.1016/j.sysconle.2003.11.002
  • Sasane, Amol J. (2004). Time-autonomy and time-controllability of 2-D behaviours that are tempered in the spatial direction. Multidimensional Systems and Signal Processing, 15(2), 97-116.
  • Sasane, Amol (2004). The elusive iff test for time-controllability of behaviours. In Blondel, V. D. & Megretski, A. (Eds.), Unsolved Problems in Mathematical Systems and Control Theory (pp. 36-39). Princeton University Press.
  • Sasane, Amol (2003). On the Willems closure with respect to Ws. IMA Journal of Mathematical Control and Information, 20(2), 217-232. https://doi.org/10.1093/imamci/20.2.217
  • Sasane, Amol, Curtain, Ruth F. (2003). Hankel norm approximation for well-posed linear systems. Systems and Control Letters, 48(5), 407-414. https://doi.org/10.1016/S0167-6911(02)00301-8
  • Sasane, Amol J. (2003). Distance between behaviours. International Journal of Control, 76(12), 1214-1223. https://doi.org/10.1080/0020717031000138647
  • Lftime, O. V., Kaashoek, M. A., Sandberg, H., Sasane, Amol (2003). A Grassmannian approach to the Hankel norm approximation problem. Institut Mittag-Leffler, The Royal Swedish Academy of Sciences.
  • Ball, J. A., Mikkola, K. M., Sasane, Amol (2003). State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems. (Report 32). Institut Mittag-Leffler, The Royal Swedish Academy of Sciences.
  • Sasane, Amol, Curtain, R. F. (2002). A frequency domain solution to the sub-optimal Hankel norm approximation problem. (Memorandum 1653). Faculty of Mathematical Sciences, University of Twente.
  • Sasane, Amol, Curtain, Ruth F. (2002). Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems. Integral Equations and Operator Theory, 43(3), 356-377. https://doi.org/10.1007/BF01255569
  • Sasane, Amol J., Thomas, Erik G. F., Willems, Jan C. (2002). Time-autonomy versus time-controllability. Systems and Control Letters, 45(2), 145-153. https://doi.org/10.1016/S0167-6911(01)00174-8
  • Sasane, Amol J., Camlibel, M. K. (2002-08-12 - 2002-08-16) Approximate time-controllability versus time-controllability [Other]. 15th International Symposium on Mathematical Theory of Networks and Systems, University of Notre Dame, Indiana, United States, USA.
  • Sasane, Amol, Cotroneo, Tommaso (2002). Conditions for time-controllability of behaviours. International Journal of Control, 75(1), 61-67. https://doi.org/10.1080/00207170110092307
  • Curtain, R. F., Sasane, Amol (2002-08-12 - 2002-08-16) Explicit formulae for J-spectral factors for regular linear systems [Paper]. Proceedings of the 15th International Symposium on Mathematical Theory of Networks and Systems, Notre Dame, United States, USA.
  • Sasane, Amol (2002). Hankel norm approximation for infinite-dimensional systems. Springer Berlin / Heidelberg.
  • Iftime, Orest V., Sasane, Amol (2002-08-12 - 2002-08-16) Sub-optimal Hankel norm approximation for the Wiener Class [Paper]. 15th International Symposium on Mathematical Theory of Networks and Systems, MTNS, Indiana, United States, USA.
  • Sasane, A. J., Curtain, R. F. (2001). Inertia theorems for operator Lyapunov inequalities. Systems and Control Letters, 43(2), 127-132. https://doi.org/10.1016/S0167-6911(01)00083-4
  • Sasane, Amol, Curtain, Ruth F. (2001). Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems. Integral Equations and Operator Theory, 39(1), 98-126. https://doi.org/10.1007/BF01192150
  • Curtain, R. F., Sasane, A. J. (2001). Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems. International Journal of Control, 74(12), 1260-1270. https://doi.org/10.1080/00207170110061059
    • Public
  • Sasane, Amol (2026). On Banach subalgebras of the Dirichlet Hardy algebra ℋ ∞ consisting of lacunary Dirichlet series. Integral Equations and Operator Theory, 98(1). https://doi.org/10.1007/s00020-026-02825-1
  • Sasane, Amol (2025). Maximal ideal space of some Banach algebras of Dirichlet series. Functiones et Approximatio Commentarii Mathematici, https://doi.org/10.7169/facm/250317-12-10 picture_as_pdf
  • Natário, José, Sasane, Amol, Vicente, Rodrigo (2025). Elastic rods and elastic spinning rings as gravitational wave detectors. Zeitschrift für Angewandte Mathematik und Physik, 76(2). https://doi.org/10.1007/s00033-025-02461-6 picture_as_pdf
  • Sasane, Amol (2025). Smooth manifolds. In A Mathematical Introduction to General Relativity . World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789811243783_0001 picture_as_pdf
  • Mortini, Raymond, Pflug, Peter, Sasane, Amol (2024). Polynomial Cauchy functional equations: a report. Elemente der Mathematik, 80(3), 97 - 108. https://doi.org/10.4171/EM/531 picture_as_pdf
  • Sasane, Amol (2024). On a Banach algebra of entire functions with a weighted Hadamard multiplication. Journal of Mathematical Analysis and Applications, 533(1). https://doi.org/10.1016/j.jmaa.2023.128000 picture_as_pdf
  • Sasane, Amol (2024). Ideals in the convolution algebra of periodic distributions. Journal of Fourier Analysis and Applications, 30(2). https://doi.org/10.1007/s00041-024-10078-y picture_as_pdf
  • Brudnyi, Alexander, Sasane, Amol (2023). Projective freeness and hermiteness of complex function algebras. Advances in Mathematics, 434, https://doi.org/10.1016/j.aim.2023.109322 picture_as_pdf
  • Sasane, Amol (2023). Generation of the special linear group by elementary matrices in some measure Banach algebras. Studia Mathematica, 270(1), 1-16. https://doi.org/10.4064/sm210825-24-2 picture_as_pdf
  • Roitman, Moshe, Sasane, Amol (2023). On the Gleason-Kahane-Żelazko theorem for associative algebras. Results in Mathematics, 78(1). https://doi.org/10.1007/s00025-022-01789-z picture_as_pdf
  • Natário, José, Sasane, Amol (2022). Decay of solutions to the Klein-Gordon equation on some expanding cosmological spacetimes. Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics, 23(7), 2345 - 2389. https://doi.org/10.1007/s00023-022-01172-2 picture_as_pdf
  • Sasane, Amol (2022). Doubly invariant subspaces of the Besicovitch space. Methods of Functional Analysis and Topology,, 28(2), 150 - 156. https://doi.org/10.31392/MFAT-npu26_2.2022.07 picture_as_pdf
  • Sasane, Amol J. (2022). A law of conservation of symbols. American Mathematical Monthly, 129(2), p. 182. https://doi.org/10.1080/00029890.2022.2005409 picture_as_pdf
  • Sasane, Amol (2022). Crux’s crux’s crux. Mathematics Magazine, 95(5), 458 - 464. https://doi.org/10.1080/0025570X.2022.2126264 picture_as_pdf
  • Sasane, Amol (2021). The Sylvester equation in Banach algebras. Linear Algebra and Its Applications, 631, 1-9. https://doi.org/10.1016/j.laa.2021.08.015 picture_as_pdf
  • Sasane, Amol (2021). On the existence of spatially tempered null solutions to linear constant coefficient PDES. Israel Journal of Mathematics, 244(1), 273-291. https://doi.org/10.1007/s11856-021-2181-6 picture_as_pdf
  • Sasane, Amol (2020). Topological stable rank of E′(R). Mathematische Zeitschrift, 296(1-2), 313 - 323. https://doi.org/10.1007/s00209-019-02418-2 picture_as_pdf
  • Sasane, Amol (2020). An analogue of Serre’s conjecture for a ring of distributions. Topological Algebra and its Applications, 8(1), 88 - 91. https://doi.org/10.1515/taa-2020-0100 picture_as_pdf
  • Sasane, Amol (2020). A summation method based on the Fourier series of periodic distributions and an example arising in the Casimir effect. Indagationes Mathematicae, 31(3), 477 - 504. https://doi.org/10.1016/j.indag.2020.03.006 picture_as_pdf
  • Sasane, Amol (2020). Algebraic characterization of approximate controllability of behaviours of spatially invariant systems. Systems and Control Letters, 135, https://doi.org/10.1016/j.sysconle.2019.104590 picture_as_pdf
  • Mortini, Raymond, Sasane, Amol (2019). The bass and topological stable ranks for algebras of almost periodic functions on the real line, II. Banach Journal of Mathematical Analysis, 13(3), 565-581. https://doi.org/10.1215/17358787-2018-0051 picture_as_pdf
  • Sasane, Amol, Ufnarovski, Victor (2019). Eigenvectors of the SO(3,R) matrices. Journal of Geometry and Symmetry in Physics, 53, 85-102. https://doi.org/10.7546/jgsp-53-2019-85-102 picture_as_pdf
  • Mortini, Raymond, Rupp, Rudolf, Sasane, Amol (2017). On the Krull intersection theorem in function algebras. Quaestiones Mathematicae, 40(3), 363-380. https://doi.org/10.2989/16073606.2017.1289482
  • Sasane, Amol, Ufranovski, Victor (2016). Alternative proofs for Kocik's geometric diagram for relativistic velocity addition. Elemente der Mathematik, 71(3), 122-130. https://doi.org/10.4171/EM/307
  • Rupp, Rudolf, Sasane, Amol (2016). On the Bezout equation in the ring of periodic distributions. Topological Algebra and its Applications, 4(1), 1-8. https://doi.org/10.1515/taa-2016-0001
  • Mortini, Raymond, Rupp, Rudolf, Sasane, Amol (2016). The bass and topological stable ranks of the Bohl algebra are infinite. Acta Applicandae Mathematicae, 142(1), 81-90. https://doi.org/10.1007/s10440-015-0015-4
  • Mortini, Raymond, Sasane, Amol (2016). Some curiosities of the algebra of bounded Dirichlet series. Bulletin of the Korean Mathematical Society, 53(1), 153-161. https://doi.org/10.4134/BKMS.2016.53.1.153
    • Restricted
  • Sasane, Amol (2026). On the faithful flatness of some modules arising in analysis. Nagoya Mathematical Journal, https://doi.org/10.1017/nmj.2026.10103 [In Press] picture_as_pdf