Items where Author is "Sasane, Amol"

Article

Mortini, Raymond, Pflug, Peter and Sasane, Amol ORCID: 0000-0001-5566-9877 (2024) Polynomial Cauchy functional equations: a report. Elemente der Mathematik. ISSN 1420-8962

Sasane, Amol ORCID: 0000-0001-5566-9877 (2024) On a Banach algebra of entire functions with a weighted Hadamard multiplication. Journal of Mathematical Analysis and Applications, 533 (1). ISSN 0022-247X

Sasane, Amol ORCID: 0000-0001-5566-9877 (2024) Ideals in the convolution algebra of periodic distributions. Journal of Fourier Analysis and Applications, 30 (2). ISSN 1069-5869

Brudnyi, Alexander and Sasane, Amol ORCID: 0000-0001-5566-9877 (2023) Projective freeness and hermiteness of complex function algebras. Advances in Mathematics, 434. ISSN 0001-8708

Sasane, Amol ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (2023) On the Gleason-Kahane-Żelazko theorem for associative algebras. Results in Mathematics, 78 (1). ISSN 1422-6383

Natário, José and Sasane, Amol ORCID: 0000-0001-5566-9877 (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. ISSN 1424-0637

Sasane, Amol ORCID: 0000-0001-5566-9877 (2022) Doubly invariant subspaces of the Besicovitch space. Methods of Functional Analysis and Topology,, 28 (2). 150 - 156. ISSN 1029-3531

Sasane, Amol ORCID: 0000-0001-5566-9877 (2022) Crux’s crux’s crux. Mathematics Magazine, 95 (5). 458 - 464. ISSN 0025-570X

Sasane, Amol ORCID: 0000-0001-5566-9877 (2021) The Sylvester equation in Banach algebras. Linear Algebra and Its Applications, 631. pp. 1-9. ISSN 0024-3795

Sasane, Amol ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (2020) Topological stable rank of E′(R). Mathematische Zeitschrift, 296 (1-2). 313 - 323. ISSN 0025-5874

Sasane, Amol ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (2017) On the Krull intersection theorem in function algebras. Quaestiones Mathematicae, 40 (3). pp. 363-380. ISSN 1607-3606

Sasane, Amol ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (2009) Sufficient conditions for the projective freeness of Banach algebras. Journal of Functional Analysis, 257 (12). pp. 4003-4014. ISSN 0022-1236

Sasane, Amol ORCID: 0000-0001-5566-9877 (2008) On the Krull dimension of rings of transfer functions. Acta Applicandae Mathematicae, 103 (2). pp. 161-168. ISSN 0167-8019

Sasane, Amol ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (2007) The Hilbert-Schmidt property of feedback operators. Journal of Mathematical Analysis and Applications, 329 (2). pp. 1145-1160. ISSN 0022-247X

Sasane, Amol ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (2005) Stability of switching infinite-dimensional systems. Automatica, 41 (1). pp. 75-78. ISSN 0005-1098

Iftime, Orest, Kaashoek, Marinus and Sasane, Amol ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 and Cotroneo, Tommaso (2002) Conditions for time-controllability of behaviours. International Journal of Control, 75 (1). pp. 61-67. ISSN 0020-7179

Sasane, Amol ORCID: 0000-0001-5566-9877 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

Book Section

Sasane, Amol ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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

Monograph

Sasane, Amol ORCID: 0000-0001-5566-9877 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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 (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 ORCID: 0000-0001-5566-9877 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.

Conference or Workshop Item

Curtain, R. F. and Sasane, Amol ORCID: 0000-0001-5566-9877 (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, USA. (Submitted)

Iftime, Orest V. and Sasane, Amol ORCID: 0000-0001-5566-9877 (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, USA. (Submitted)

Book

Sasane, Sara Maad and Sasane, Amol ORCID: 0000-0001-5566-9877 (2023) A friendly approach to complex analysis. World Scientific (Firm). ISBN 9789811272806

Sasane, Amol ORCID: 0000-0001-5566-9877 (2009) Algebras of holomorphic functions and control theory. Dover Publications, Inc., Mineola, USA. ISBN 9780486474656

Sasane, Amol ORCID: 0000-0001-5566-9877 (2002) Hankel norm approximation for infinite-dimensional systems. Lecture notes in control and information sciences. (277). Springer Berlin / Heidelberg, Berlin. ISBN 9783540433279