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Sasane, Amol (2024) Ideals in the convolution algebra of periodic distributions. Journal of Fourier Analysis and Applications, 30 (2). ISSN 1069-5869
Mortini, Raymond, Pflug, Peter and Sasane, Amol (2024) Polynomial Cauchy functional equations: a report. Elemente der Mathematik. ISSN 1420-8962 (In Press)
Sasane, Amol (2023) On a Banach algebra of entire functions with a weighted Hadamard multiplication. Journal of Mathematical Analysis and Applications, 533 (1). ISSN 0022-247X
Brudnyi, Alexander and Sasane, Amol (2023) Projective freeness and hermiteness of complex function algebras. Advances in Mathematics, 434. ISSN 0001-8708
Sasane, Amol (2023) Generation of the special linear group by elementary matrices in some measure Banach algebras. Studia Mathematica, 270 (1). pp. 1-16. ISSN 0039-3223
Roitman, Moshe and Sasane, Amol (2023) On the Gleason-Kahane-Żelazko theorem for associative algebras. Results in Mathematics, 78 (1). ISSN 1422-6383
Natário, José and Sasane, Amol (2022) Decay of solutions to the Klein-Gordon equation on some expanding cosmological spacetimes. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 23 (7). 2345 - 2389. ISSN 0246-0203
Sasane, Amol (2022) Doubly invariant subspaces of the Besicovitch space. Methods of Functional Analysis and Topology,, 28 (2). 150 - 156. ISSN 1029-3531
Sasane, Amol (2022) Crux’s crux’s crux. Mathematics Magazine, 95 (5). 458 - 464. ISSN 0025-570X
Sasane, Amol (2021) The Sylvester equation in Banach algebras. Linear Algebra and Its Applications, 631. pp. 1-9. ISSN 0024-3795
Sasane, Amol (2021) On the existence of spatially tempered null solutions to linear constant coefficient PDES. Israel Journal of Mathematics, 244 (1). pp. 273-291. ISSN 0021-2172
Sasane, Amol (2020) Topological stable rank of E′(R). Mathematische Zeitschrift, 296 (1-2). 313 - 323. ISSN 0025-5874
Sasane, Amol (2020) An analogue of Serre’s conjecture for a ring of distributions. Topological Algebra and its Applications, 8 (1). 88 - 91. ISSN 2299-3231
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. ISSN 0019-3577
Sasane, Amol (2020) Algebraic characterization of approximate controllability of behaviours of spatially invariant systems. Systems and Control Letters, 135. ISSN 0167-6911
Mortini, Raymond and 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). pp. 565-581. ISSN 1735-8787
Sasane, Amol and Ufnarovski, Victor (2019) Eigenvectors of the SO(3,R) matrices. Journal of Geometry and Symmetry in Physics, 53. pp. 85-102. ISSN 1312-5192
Sasane, Amol (2018) A potpourri of algebraic properties of the ring of periodic distributions. Bulletin of the Belgian Mathematical Society, 25 (5). pp. 755-776. ISSN 1370-1444
Mortini, Raymond, Rupp, Rudolf and Sasane, Amol (2017) On the Krull intersection theorem in function algebras. Quaestiones Mathematicae, 40 (3). pp. 363-380. ISSN 1607-3606
Sasane, Amol and Ufranovski, Victor (2016) Alternative proofs for Kocik's geometric diagram for relativistic velocity addition. Elemente der Mathematik, 71 (3). pp. 122-130. ISSN 1420-8962
Rupp, Rudolf and Sasane, Amol (2016) On the Bezout equation in the ring of periodic distributions. Topological Algebra and its Applications, 4 (1). pp. 1-8. ISSN 2299-3231
Mortini, Raymond, Rupp, Rudolf and Sasane, Amol (2016) The bass and topological stable ranks of the Bohl algebra are infinite. Acta Applicandae Mathematicae, 142 (1). pp. 81-90. ISSN 0167-8019
Mortini, Raymond and Sasane, Amol (2016) Some curiosities of the algebra of bounded Dirichlet series. Bulletin of the Korean Mathematical Society, 53 (1). pp. 153-161. ISSN 1015-8634
Sasane, Amol and Wagner, Peter (2013) Division problem for spatially periodic distributions. Journal of Mathematical Analysis and Applications, 408 (1). pp. 70-75. ISSN 0022-247X
Mortini, Raymond and 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). pp. 525-529. ISSN 0003-889X
Sasane, Amol (2013) A generalized chordal metric in control theory making strong stabilizability a robust property. Complex Analysis and Operator Theory, 7 (4). pp. 1345-1356. ISSN 1661-8254
Frentz, Marie and Sasane, Amol (2013) Reformulation of the extension of the ν-metric for H∞. Journal of Mathematical Analysis and Applications, 401 (2). pp. 659-971. ISSN 0022-247X
Sasane, Amol (2013) Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems. Mathematical Control and Related Fields, 4 (1). pp. 115-124. ISSN 2156-8472
Sarkar, Jaydeb, Sasane, Amol and Wick, Brett D. (2013) Doubly commuting submodules of the Hardy module over polydiscs. Studia Mathematica, 217 (2). pp. 179-192. ISSN 0039-3223
Sasane, Amol (2012) Extension of the ν-metric for stabilizable plants over H∞. Mathematical Control and Related Fields, 2 (1). pp. 29-44. ISSN 2156-8472
Sasane, Amol (2012) Solvability of the H ∞ algebraic Riccati Equation in Banach algebras. Integral Equations and Operator Theory, 72 (2). pp. 291-299. ISSN 0378-620X
Mikkola, Kalle and 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). pp. 401-448. ISSN 1661-8254 (Submitted)
Sasane, Amol (2010) The Hermite property of a causal Wiener algebra used in control theory. Complex Analysis and Operator Theory, 4 (1). pp. 97-107. ISSN 1661-8254
Mortini, Raymond, Sasane, Amol and Wick, Brett (2010) The Corona Theorem and stable rank for the algebra C plus BH infinity. Houston Journal of Mathematics, 36 (1). pp. 289-301. ISSN 0362-1588
Rupp, R. and Sasane, Amol (2010) On the stable rank and reducibility in algebras of real symmetric functions. Mathematische Nachrichten, 283 (8). pp. 1194-1206. ISSN 0025-584X
Mortini, Raymond, Rupp, Rudolf, Sasane, Amol and Wick, Brett D. (2010) Topological stable rank of H ∞(Ω) for circular domains Ω. Analysis Mathematica, 36 (4). pp. 287-297. ISSN 0133-3852
Rupp, Rudolf and Sasane, Amol (2009) Ideal structure and stable rank of Ce+l2(I) with the Hadamard product. Complex Analysis and Operator Theory, 4 (4). pp. 881-899. ISSN 1661-8254
Mortini, Raymond and Sasane, Amol (2009) Ideals of denominators in the disk-algebra. The Bulletin of the London Mathematical Society, 41 (4). pp. 669-675. ISSN 0024-6093
Rupp, Rudolf and 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). pp. 784-793. ISSN 0016-0032
Brudnyi, Alexander and Sasane, Amol (2009) Sufficient conditions for the projective freeness of Banach algebras. Journal of Functional Analysis, 257 (12). pp. 4003-4014. ISSN 0022-1236
Sasane, Amol (2008) On the Krull dimension of rings of transfer functions. Acta Applicandae Mathematicae, 103 (2). pp. 161-168. ISSN 0167-8019
Sasane, Amol (2008) Noncoherence of a causal wiener algebra used in control theory. Abstract and Applied Analysis, 2008. pp. 1-13. ISSN 1085-3375
Mikkola, KM and Sasane, Amol (2007) A spectrally minimal realization formula for the Hardy algebra. Complex Analysis and Operator Theory, 1 (4). pp. 621-628. ISSN 1661-8254
Hovakimyan, N, Lavretsky, E and Sasane, Amol (2007) Dynamic inversion for nonaffine-in-control systems via time-scale separation. Journal of Dynamical and Control Systems, 13 (4). pp. 451-465. ISSN 1079-2724
Sasane, Amol and Treil, S R (2007) Estimates in corona theorems for some subalgebras of the Hardy space. Arkiv FöR Matematik, 45 (2). pp. 351-380. ISSN 0004-2080
Sasane, Amol (2007) An operator corona theorem for some subspaces of the Hardy space. Integral Equations and Operator Theory, 59 (2). pp. 245-256. ISSN 0378-620X
Sasane, Amol (2007) Noncoherence of some rings of functions. Proceedings of the American Mathematical Society, 135 (7). pp. 2107-2111. ISSN 0002-9939
Curtain, RF, Mikkola, KM and Sasane, Amol (2007) The Hilbert-Schmidt property of feedback operators. Journal of Mathematical Analysis and Applications, 329 (2). pp. 1145-1160. ISSN 0022-247X
Sasane, Amol (2007) Properties of a subalgebra of H{infty}(D) and stabilization. IMA Journal of Mathematical Control and Information, 25 (1). pp. 1-21. ISSN 0265-0754
Sasane, Amol (2005) Stability of switching infinite-dimensional systems. Automatica, 41 (1). pp. 75-78. ISSN 0005-1098
Iftime, Orest, Kaashoek, Marinus and Sasane, Amol (2005) A Grassmannian band method approach to the Nehari-Takagi Problem. Journal of Mathematical Analysis and Applications, 310 (1). pp. 97-115. ISSN 0022-247X
Ball, Joseph A., Mikkola, Kalle M. and 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). pp. 531-563. ISSN 0363-0129
Sasane, Amol (2003) On the Willems closure with respect to Ws. IMA Journal of Mathematical Control and Information, 20 (2). pp. 217-232. ISSN 0265-0754
Sasane, Amol and Curtain, Ruth F. (2003) Hankel norm approximation for well-posed linear systems. Systems and Control Letters, 48 (5). pp. 407-414. ISSN 0167-6911
Sasane, Amol and Curtain, Ruth F. (2002) Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems. Integral Equations and Operator Theory, 43 (3). pp. 356-377. ISSN 0378-620X
Sasane, Amol and Cotroneo, Tommaso (2002) Conditions for time-controllability of behaviours. International Journal of Control, 75 (1). pp. 61-67. ISSN 0020-7179
Sasane, Amol and Curtain, Ruth F. (2001) Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems. Integral Equations and Operator Theory, 39 (1). pp. 98-126. ISSN 0378-620X
Sasane, Amol (2010) Extension to an invertible matrix in convolution algebras of measures supported in [0,+ ∞). In: Ball, Joseph A., Bolotnikov, Vladimir, Helton, J. William, Rodman, Leiba and Spitkovsky, Ilya M., (eds.) Topics in Operator Theory: Operators, Matrices and Analytic Functions. Operator Theory: Advances and Applications (202). Birkhauser, Springer Basel AG, Germany, pp. 509-518. ISBN 9783034601573
Hovakimyan, Naira, Lavretsky, Eugene and 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). American Automatic Control Council; Institute of Electrical and Electronics Engineers (IEEE), Evanston, IL, Piscataway, N.J., USA, pp. 3542-3547. ISBN 9780780390980
Sasane, Amol (2004) The elusive iff test for time-controllability of behaviours. In: Blondel, Vincent D and Megretski, Alexandre, (eds.) Unsolved Problems in Mathematical Systems and Control Theory. Princeton University Press, pp. 36-39. ISBN 0691117489
Sasane, Amol and 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, London, UK.
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, London, UK.
Curtain, Ruth, Mikkola, Kalle and 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, London, UK.
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, London, UK.
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, London, UK.
Lftime, O. V., Kaashoek, M. A., Sandberg, H. and Sasane, Amol (2003) A Grassmannian approach to the Hankel norm approximation problem. . Institut Mittag-Leffler, The Royal Swedish Academy of Sciences, Djursholm, Sweden.
Ball, J. A., Mikkola, K. M. and 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, Djursholm, Sweden.
Sasane, Amol and 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, Enschede, The Netherlands.
Curtain, R. F. and Sasane, Amol (2002) Explicit formulae for J-spectral factors for regular linear systems. In: Proceedings of the 15th International Symposium on Mathematical Theory of Networks and Systems, 2002-08-12 - 2002-08-16, Notre Dame, United States. (Submitted)
Iftime, Orest V. and Sasane, Amol (2002) Sub-optimal Hankel norm approximation for the Wiener Class. In: 15th International Symposium on Mathematical Theory of Networks and Systems, MTNS, 2002-08-12 - 2002-08-16, Indiana, United States. (Submitted)
Sasane, Amol (2009) Algebras of holomorphic functions and control theory. Dover Publications, Inc., Mineola, USA. ISBN 9780486474656
Sasane, Amol (2002) Hankel norm approximation for infinite-dimensional systems. Lecture notes in control and information sciences. (277). Springer Berlin / Heidelberg, Berlin. ISBN 9783540433279
