Publications
- On the
range of composition operators on spaces of entire functions (with S. Mukherjee and J. McInroy),
Contemp. Math. 547 (2011), 185-197.
- Semigroups of operators on Hardy spaces and cocycles of holomorphic
flows J. (with Z. Slodkowski and T. Tonev), Complex Analysis and Operator Theory (2011),
14 pp., in press.
- Extremal positive pluriharmonic
functions on Euclidean balls (with M. Putinar),
Pure and Applied Math. Quarterly 6 (2010), 1013-1027.
- Quantifying
and optimizing failure tolerance of a class of parallel manipulators (with
C. Ukidve and J. McInroy),
Parallel Manipulators, Advanced Robotic Systems International, 2008.
- Holomorphic flows in multiply connected domains (with
Z. Slodkowski and T. Tonev),
preprint, 2006.
- Extension
to a theorem of Himmelberg,(with
V. M. Sehgal), J. Math. Analysis and Appl. 327
(2006), 298-301.
- Orthogonal
GSP with optimal fault tolerant manipulability (with C. Ukidve and John McInroy),
IEEE Transaction on Robotics, (May 2006).
- Realization
of micromanipulating GSP with desired dynamics
(with Z. Guo and John McInroy),
IEEE Transaction on Robotics, (May 2006).
- Design
of Gough-Stewart platforms with optimal fault tolerance (with S. Aphale and J. McInroy), IEEE
Transaction on Robotics, submitted
(June 2005), preprint.
- Orthogonal
GSP with optimal fault tolerant manipulability (with C. Ukidve and John McInroy),
International Conference on Robotics and Automation (2006).
- Realization
of micromanipulating GSP with desired dynamics
(with Z. Guo and John McInroy),
International Conference on Robotics and Automations (2006).
- Determination
of unstable singularities of parallel robots with N-arms (with John
O'Brien and John Wen), IEEE Transaction on
Robotics (2005), Vol. 22, 160-167.
- Symmetric
orthogonal Gough-Stewart platforms (with John McInroy),
IEEE Transaction on Robotics (2006), Vol. 22,
- Automatic
differentiability of holomorphic cocycles (with E. Toneva and
T. Tonev), Proc. Amer. Math. Soc. 133 (2005),
3389-3394.
- Tri-symmetric
orthogonal Gough-Stewart platforms (with J. McInroy),
IEEE International Conference on Robotics and Automation, 948-953, April
2005.
- Self-motion
in spatial parallel mechanisms with more than three legs (with J. O'Brien
and J. Wen), IEEE International Conference on
Robotics and Automation (2005), 966-971, April 2005
- Generating
classes of isotropic Gough-Stewart platforms (with J. McInroy
and Y. Yi), IEEE Transaction on Robotics (2005), Vol. 21, 812-820.
- Optimum design of a class of fault
tolerant isotropic Gough-Stewart platforms (with J. McInroy
and Y. Yi), IEEE International Conference on Robotics and Automation,
4969-4974, April 2004.
- Generating
classes of isotropic Gough-Stewart platforms (with J. McInroy
and Y. Yi), IEEE International Conference in Robotics and Automation,
4963-4968, April 2004.
- Transfer
matrices of orthogonal Gough-Stewart platforms (with J. McInroy), Proc. IEEE Conference on Decision and
Control, 5865-5870, December 2003.
- A
Mayer problem in H-infinity optimal control (2003) (with D. Prokhorov),
under revision.
- Orthogonal
Gough-Stewart platforms for micromanipulations (with J. McInroy), IEEE Transactions on Robotics and Automation
(2003), Vol. 19, 595-603.
- State-of-the-art
and open problems in stabilizing platforms for pointing and tracking (with
J. McInroy), SPIE International Symposium on
Smart Structures and Materials, Vol 4701 (2002),
San Diego, CA, 177-188.
- Mathematics
of medical imaging in the classroom (with C. Funkhouser
and W. Eubanks), International J. Math. Education, Science and Technology
(2002), 481-493.
- Automatic
fringe detection for oil film interfeometric
skin friction measurement (with R. Decker and J. Naughton),
International Symposium on Flow Visualization, 367 (2000), 1-8.
- Norm
of composition operators on Hardy spaces (with P. Avramidou),
Contemp. Math. 232 (1999), 47-55.
- Book:
Studies on Composition Operators (with C. C. Cowen, B. D. MacCluer and A. D. Porter), Contemporary Mathematics
213 (1998), American Mathematical Society, Providence, RI, pp. 256,
0-8218-0768-4.
- Cyclicity in weighted Dirichlet
spaces (with Rich Raposa), International J.
Math. Math. Sci. (1999), 739-744.
- Some
fixed point theorems for non-convex spaces (with V. M. Sehgal),
International J. Math. Math. Sci. 21 (1998), 133-138.
- Holomorphic flows, cocycles
and coboundaries (with T. Tonev,
E. Toneva and K. Yale), Michigan Math. J. 44
(1997), 239-254.
- Hypercyclic and strongly hypercyclic
operators, Proceedings of the Third Big Sky Conference in Analysis (1996),
Edited by K. Stroethoff and K. Yale, Missoula,
MT, Chapter 2, pages 10-16.
- Remarks
on simultaneous approximation and Hermite
interpolation of a vector valued function and its partial derivatives
(with J. C. Evard), Proceedings of Advances in
Scientific Computing and Mathematical Modeling (1995), Edited by S. K. Dey and J. Ziebarth, 63-70.
- Generalizations
and applications of a complex Rolle's theorem
(with J. C. Evard and P. Polyakov),
Nieuw Archief voor Wiskunde 13 (1995),
173-180. Revised in 1998.
- Regular
Hermite interpolation in an arbitrary connected
open subset of a topological vector space (with J. C. Evard),
J. Math. Analysis and Appl. 192 (1995), 841-854.
- Cocycles, coboundaries and
spectra of composition operators, (with K. Yale), Proceedings of Second
Big Sky Conference in Analysis (1995), Edited by R. Acar,
Chapter 4, pages 1-8.
- The
kinematics and governing equations of continuum mixtures (with C. R.
Reid), International J. Eng. Sci. 33 (1995), 411-428.
- Direct
computation of the simultaneous Stone-Weierstrass
approximation of a function and its partial derivatives in Banach space, and combination with Hermite
interpolation (with J. C. Evard), J. Approx.
Theory 78 (1994), 351-363.
- Subnormality, bounded point evaluations and
approximation by polynomials, Proceedings of the First Big Sky Analysis
Conference (1994), Edited by R. Acar, Chapter 4,
pages 1-11.
- Schedulability: Real time Tasks scheduling in a
multiprocessor system (with G. S. Alijani),
Proceedings of 23rd International Conference on Parallel Processing
(1994), Edited by J. Chandra, Vol. III, 79-82.
- The
set of all mxn rectangular real matrices of rank
r is connectted by analytic regular arcs (with
J. C. Evard), Proc. Amer. Math. Soc. 120 (1994),
413-419.
- Evaluation
of H-function inversion integrals (with R. G. Buschman
and J. C. Evard) J. Math. Analysis and Appl. 185
(1994), 713-725.
- A
sufficient condition for an entire function to be a polynomial of degree
one (with J. C. Evard and G. E. Moorhouse), Nieuw Archief voor Wiskunde 12 (1994), 9-13.
- Angular
derivatives in polydiscs, Indian J. Math. 35
(1993), 197-212. Revised in 1997.
- A
complex Rolle's theorem (with J. C. Evard), Amer. Math. Monthly 99 (1992), 864-867.
- Composition
operators on Bergman spaces on bounded symmetric domain, Contemporary
Mathematics 137 (1992), 277-291. Revised and extended in 1994.
- Carleson measures in Hardy and weighted Bergman spaces
of polydiscs, Proc. Amer. Math. Soc. 112 (1991),
771-781.
- Bounded
and compact composition operators in polydiscs,
Canadian J. Math. 42 (1990), 869-889.
- Thermal
modeling in cylindrical coordinates using effective conductivity (with P.
D. Higgins), IEEE Trans. on Ultrasonic UFFC-36 (1989), 191-196.
- Thermal
distributions in spherical regions with variable thermal conductivity
(with P. D. Higgins), IEEE Trans. on Ultrasonic UFFC-33 (1986), 21-26.
- Regional
hyperthermia by microwave heating (with C. Cardozo and B. Paliwal), AMPI Med. Phys. Bull. 7 (1982), 127-132.
- Exact evaluation
of an ultrasonic scattering formula for a rigid immovable sphere (with E.
Madsen and J. Zagzebski), Ultra. Med. Biol. 7
(1981), 293-296.
- Heating
patterns produced by 434 MHz UHF 69 (with C. Cardozo and B. Paliwal), Radiology 135 (1981), 511-512.
Preprints (unpublished but cited in literature)
- On the
range of functions belonging to weighted Dirichlet
spaces (1998) (with D. Betebenner and L. Brown),
preprint.
- Weighted
semigroups of composition operators and their
co-generators (1996), preprint.
- On semigroups of composition operators on Hardy spaces
(with J. C. Evard) (1995), preprint.
- Revision
and extension of Composition operators on Bergman spaces on bounded
symmetric domain, Contemporary Mathematics 137 (1992), 277-291 (1995),
preprint.
- An elementary
proof of the prime number theorem (1991), preprint.
- On the
extremal problem of Schwarz in polydiscs (1991), preprint.
Under
Construction