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 (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 (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 (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