CURRICULUM - VITAE.
1.
Name
: Sheel Sindhu Pandey
2.
Address
: Professor ,
Dean Faculty of Mathematical Science,
Department of Mathematics & Computer Science,
R. D. University, Jabalpur ,
INDIA.
E.mail : sheelpandeynew@hotmail.com
Phone
:
0091-761-2607474 (Res.)
:
0091-761-2603173 (Office)
Mobil No. : 0091-93294-36757.
3.
4.
Date of Birth
Academic Qualification
: 25th December, 1965.
: i)
B.Sc. (1985) from Vikram University, Ujjain.
First Division, securing 67.72% of marks.
ii) M.Sc. (1987) from Vikram University, Ujjain.
First Division, securing 89.75% of marks.
iii) Received Young Scientist Award 1988 from M.P.
Council of Science and Technology.
iv) Ph.D. (1989) from University of Sagar on my
thesis entitled “A study in the Theory of
Multipliers on Banach and Locally Convex
Spaces” 8 Chapters.
v) Received Dr. Radhakrishnan Prize from M.P.
Uchcha Siksha Anudan Ayog in 1992.
5.
Academic
Abroad
Experience : i)
Worked on Research Project entitled “Harmonic
Analysis and its Application” with Professor Dr.
W. Moran at Flinders University of South
Australia, Australia, from August - October,
1995.
ii) Worked
on
Research
Project
entitled
“Cohomological Problems of Banach Function
Algebras” with Professor Dr. H.G. Dales at
University of Leeds, Leeds, U.K., from
September – December, 1997.
1
iii) Worked on Research Project “Wavelet Analysis
on Locally Compact Groups and Its
Applications” jointly with Professor Dr. Hans G.
Feichtinger at NUHAG (Numerical Harmonic
Analysis Group), Department of Mathematics,
University of Vienna, AUSTRIA, for one year
(1999-2000) under BOYSCAST Fellowship,
Department of Science & Technology,
Government of India.
6.
Administrative
Experience
iv) Received an offer of Associate Professorship
from The King Saud University Riyadh, Saudi
Arabia in June 2005, but not Joined.
: i) Worked as Head, Department of Mathematics,
Computer Science and University Institute of
Computer Science, R. D. University Jabalpur.
ii)
Working as Chairman, Board of Studies
(Mathematics) R.D. University, Jabalpur.
iii) Working as Chairman, Central Chairman Board
of Studies (Mathematics), M.P., Bhopal
iii) Working as Chairman, Examination Committee
R.D. University Jabalpur.
v)
7.
Research Project in
India
Working as Coordinator for M.Sc. in
Mathematics with Application in Computer
Science, IGNOU.
: (i) “ Theory of Multipliers in Banach and Locally
Convex Spaces” Department of Science &
Technology (DST) , 1995-1998, Govt of India.
(ii) “Theory of Wavelet Analysis on Locally
Compact Groups and its Applications.” (20022005) DST, Govt. of India.
(iii) “Wavelet Analysis on Banach Spaces of
Functions and Their Applications” (2007-2010)
DST, Govt. of India.
2
8.
Fields of Specialization
: i)
Abstract Harmonic
Multipliers).
Analysis
(Theory
of
ii) Theory of Distributions and its Applications.
iii) Wavelet Analysis on Locally Compact Groups
and Its Applications.
iv) History of Mathematics.
9.
Research Publication
: i)
33 Research Papers are published in Reputed
Foreign and Indian Journals, 01 Research Paper is
accepted for publication and 08 Research Papers
have been communicated for publication.
Books Published
ii) Discrete Mathematics, Wiley Eastern Ltd., New
Delhi, 1988.
iii) Seven Chapters on Mathematical Analysis. M.P.
Hindi Granth Academy. 1998.
iv) Member, Editorial Board,
International
Conference Proceedings entitled “Information
Computing and Automation” in Three Volumes,
World Scientific, 2008.
10.
Teaching Experience
22 years M. Sc. and M. Phil classes.
:
Courses Taught:
Abstract Algebra, Mathematical Analysis,
Topology, Measure & Integration Theory
(including Haar Measure & Harr Integrals),
Operator Theory, Abstract Harmonic Analysis,
Theory of Distributions, Mathematical Statistics
and Wavelet Analysis.
11.
Research Guidance
: i)
Supervised Four Ph. D. Thesis on Wavelet
Analysis and Its Applications.
ii)
Supervised Seven M. Phil Dissertations on
Distribution Theory, Multiplier problems and
Wavelet Analysis.
iii)
Three students are working under my
supervision on Wavelet Analysis and its
Application for the Ph.D. Degree.
3
12.
Membership of
Academic Bodies
: i)
Member, Londan Mathematical Society.
ii) Life Member, Indian Mathematical Society.
iii) Life Member Bharat Ganit Parishad, Lucknow,
INDIA.
13.
Name of the Referees : i)
about my work
ii)
Professor Dr. Hans G. Feichtinger,
Chairman, NuHAG, Department of Mathematics,
University of Vienna, Nordbergstrasse 15 ,
A- 1090 Vienna, AUSTRIA.
E.mail : fei@tyche.mat.univie.ac.at
Professor Dr. C. Heil
Department of Mathematics,
Georgia Institute of Technology, Atlanta,
Georgia 30332, USA.
Email : heil@math.gatech.edu
iii) Professor Dr. B. L. Mishra,
Ex. Dean,
Faculty of Mathematical Science,
R. D. University, Jabalpur,
INDIA.
E. mail : blmishrajbp@rediffmail.com
(SHEEL SINDHU PANDEY)
4
LIST OF CONFERENCES AND SEMINORS ATTENDED AND DELIVERED
LECTURES.
1.
Attended The Third Young Scientists’ Congress and presented a paper entitled “A
Multiplier problem for Fourier-Jacobi Expansion in a Banach space” organized by M.P.
Council of Science and Technology & Deptt. of Science and Technology, Govt. of
India. From 28-02-1988 to 1-03-1988.
2.
Participated in an Instructional Conference on Ergodic Theory organized by the
National Board for Higher Mathematics, Bombay, from 30-05-1988 to 18-06-1988.
3.
Delivered an invited lecture on “ Multipliers for weighted Banach Spaces on a Locally
Compact Abelian Group” at Acharya Varahmihir Memorial National Seminar on
Theory Of Approximation and Its Applications organized by School of Studies In
Mathematics, Vikram University, Ujjain, from 10-02-1989 to 14-02-1989.
4.
Delivered an invited lecture on “ The Problem of Water Pollution Using Mathematical
Models”, during a National Seminar organized by School of Studies In Mathematics
Vikram University, Ujjain, from 12-02-1993 to 15-02-1993.
5.
Attended Instructional Conference on Non-commutative Harmonic Analysis organized
by IIT Kanpur and ISI Bangalore, from 19-6-1994 to 7-7-1994
6.
Participated in the workshop on Wavelets and Applications, organized by National
Board for Higher Mathematics(Deptt. of Atomic Energy, Govt. of India), from 11-061997 to 21-06-1997.
7.
Delivered a series of three lectures on “ Segal Algebras and Their Applications”at
Deptt. of Pure Mathematics , University of Leeds, U.K., during my stay in Leeds from
Sep. 1997- Dec. 1997.
8.
Delivered an invited talk on “Algebra of functions with Fourier transforms in
Lebesgue spaces and their applications” at Fuctional Analysis Seminar of Deptt. of
Mathematics, University of Leeds, U.K. on 4-11-1997.
9.
Delivered an invited talk on “Wavelet representations for Frechet spaces of
distributions on a locally compact group” during a National seminar on Recent
Developments in Mathematical Analysis with Applications to Industrial Problems
organized by Department of Mathematics, Banaras Hindu University, from 2-3-1998 to
5-3-1998.
10.
Delivered an invited talk on “Wavelet Analysis on Banach Spaces and its Applications”
at International Colloquium on Function Theory and Functional Analysis organized by
Johannes Kepler University, Linz, Austria, from 3-06-1999 to 5-06-1999.
5
11.
Delivered a series of five lectures on “Wavelet Analysis on Locally Compact Groups”
during my stay at Deptt. of Mathematic, University of Vienna, Wien , Austria , as
BOYSCAST Fellow from March 1999 to Feb. 2000.
12.
Attended the International Conference on Geometry, Analysis and Applications and
delivered an invited talk on “Gabor Frames and Weak duality for Banach Spaces of
Feichtinger Distributions on Locally Compact Abelian Groups organized by Banaras
Hindu University, from 21-08-2000 to 24-08-2000.
13.
Attended a National Conference on Recent trends in Computational Mathematics
organized by Deptt. of Mathematics R.D.V.V. Jabalpur, from 12-12-2005 to 14-122005.
14.
Delivered an invited lecture entitled: “Wavelet Representations for Banach Spaces of
Feichtinger Distributions on Locally Compact Abelian Groups” at the conference on
Analysis and Applications organized by Banaras Hindu University from 20-01-2006 to
22-01-2006.
15.
Delivered a series of three lectures on “Banach algebras and their applications” in the
Refresher Course organized by D.D.U University Gorakhpur from 18-12-2007 to 1912-2007.
16.
Delivered an invited talk on “ Satability of Projective Gabor Frames for Coorbit spaces
on Locally Compact abelian Groups” At international Conference on Mathematics of
Date, Dec 31-2010 - Jan. 4 -2011, Allahabad organized by Pushpa Publishing House.
(SHEEL SINDHU PANDEY)
6
LIST OF MY PUBLISHED PAPERS .
1.
Multipliers for the convergence of Jacobi series in Banach spaces, Vikram
Mathematical Journal, Vol. 7 (1987), 71 – 86.MR. 90 g : 40014.
2.
Multipliers for weighted spaces on a locally compact abelian group, Vikram
Mathematical Journal, Vol. 8 (1988), 19 - 32. MR. 92h :43010.
3.
Transfer of heat in a prolate speroidal shell, Indian Journal of Pure and Applied
Maths, Vol. 20 (1990). 176 – 181. Zbl 0696.35069.
4.
Multipliers on weighted Segal algebras and isomorphism of topological groups,
Vikram Mathematical Journal, Vol. 12 (1992), 71-79.
5.
Multiplier problems for Fourier-Jacobi expansions in a Banach space, Tokyo
Journal of Mathematics, Vol. 15, No. 2, (1994). pp. 441-450. MR.94 b : 42014.
6.
Norm Preserving Multipliers on weighted Segal algebras, Kumamoto J. Maths.,
Vol. 8 (1995), 1 – 9. MR. 96 f : 43004. Zbl 0874.43002.
7.
Approximation to a function by FA-means of its Fourier series, Journal of the
Indian Academy of Mathematics, Vol. 17, No. 2 (1995), 187 – 193. MR. 97
b
: 42006. Zbl 0987.42001.
8.
Multipliers for weighted Segal algebras of Beurling type, Ganita, Vol. 42, No. 2,
1996, 1–10. Zbl 0871.43003.
9.
Multipliers for the intersection of weighted Banach spaces, Pure & Applied
Mathematika Science, Vol. XLVII, No 1-2, (1998), 55 - 68.
10.
Weighted convolution algebras on a locally compact abelian group, Journ. of
Natural & Physical Sci. Vol. 10, (1998), 83 - 89. Zbl 0973. 43003.
11.
Wavelet representation of modulated spaces on locally compact abelian groups,
Ganit, Vol.50, No. 2 (1999), 119 – 128. Zbl 103743003.
12.
(With Prof. H.G. Dales, University of Leeds, U.K.) , Weak amenability of Segal
algebras, Proc. of American Mathematical Society, Vol. 128, No.5 (2000), 14191425. Zbl 0952.43003.
13.
Gabor frames and weak duality for Banach spaces of Feichtinger distributions on
locally compact abelian groups,Ed. R.S.Pathak ,Proc. International Conference on
Geometry, Analysis and Applications, Varanasi, India ,August 21-24,
(2000),World Scientific, 315-331.(2001). Zbl 1019.42021.
14.
Multipliers for Fourier-ultraspherical expansions in weighted locally convex
spaces, Anal. Stiint. Univ. IASI, 2000 43-56. MR. 2002 c: 42037.
Zbl
0999.42017.
Compact operators on homogeneous Banach spaces of distribution on locally
compact abelian groups, Southeast Asian Bulletin of Mathematics, Vol.26, No.4,
(2002) 611-624. Zbl 1045.43006.
15.
7
16.
Wavelet representation for coorbit spaces of Wiener-Feichtinger amalgams on
locally compact groups, Ed. R. Radha, International Conf. Proc, Wavelet and
Applications, Chennai, Allied Publishers,(2002) 231-249.
17.
(With Prof. H.G. Feichtinger, Vienna) Error estimates for irregular sampling of
band-limited distributions on a locally compact abelian group, Journal. Math.
Anal. Appl., Vol. 279, No.2, (2003) 380-397. Zbl 1015.43001, MR 1974032.
18.
(With Prof. H.G. Feichtiger, Vienna) Recovery of band-limited functions on
locally compact abelian groups from irregular samples, Czech. Mathematical
Journal Vol .53.No.2, (2003) 249-264. Zbl 1021.43001, 1983449.
19.
Wavelet representations of fractal measures in weighted Wiener amalgam spaces,
Proc. International Conf. on Wavelet analysis & Applications, Vol. 2, World
Scientific (2003), 605-612. ZBL 1110.42006
20.
Compactness in Wiener amalgams on locally compact groups, International
Journal of Maths. & Mathematical Sciences, No.55 (2003), 3503-3517. Zbl
1034.43004, MR 2019291.
21.
p-Frames for subspaces of Wiener amalgams on locally compact abelian groups,
International Journal of Wavelets, Multiresolution and Information Processing,
Vol.1, No.4 (2003), 481-489. Zbl 1045.43002.
22.
Time-Frequency localizations for modulation spaces on locally compact abelian
groups, International Journal of Wavelets, Multiresolution and Information
Processing, Vol. 2, No. 2(2004), 149-164. ZBL 1079.43013, MR 2073696.
23.
Restriction of Fourier transforms on Weighted Segal algebras, Southeast Asian
Bulletin of Mathematics,Vol. 28(2004), 867- 873. Zbl-1062.43007.
24.
Frame multiresolution analysis and infinite trees in Banach spaces on locally
compact abelian groups, Analysis in Theory and Application, Vol 20, NO.3(2004),
231-241. Zbl 1063.43002
25.
p-frames for Banach spaces on locally compact abelian Groups, Proc. of the 6th
International Progress on Wavelet Analysis and Active Media Technology ,
Vol.3(2005), 1071-1080.
(With N.C. Pandey) Weyl-Heisenberg wavelet expansions in weighted Banach
spaces, Ganit. Vol. 56, no.1, 2005, 77-85.
26.
27.
Atomic decomposition of weighted coorbit spaces on manifolds, Wavelet Analysis
and Applications, Eds. T. Qain, etc. , ANHA Series, Springer- Verlag 2006, 105 –
123
28.
Wavelet approximation of the delta distribution in weighted Sobolev spaces,
Conference Proc. of. Wavelet Analysis and Applications 2005.
29.
Gabor multipliers for Banach spaces of distributions on locally compact abelian
groups. Proc. of Wavelet Active Media Technology and Information Processing
Vol. I 2006 3-20.
8
30.
Wavelet representations of coorbit spaces invariant under a symmetry group.
Journal of Contemporary Mathematical Analysis vol. 41, No.1 , 2006, 59-74.
31.
(With Prof. H.G. Feichtinger and T.Werther, Vienna) Minimal norm interpolation
in harmonic Hilbert spaces and Wiener amalgam spaces on locally compact abelian
groups. Journal of Mathematics of Kyoto University. Vol. 47, No. 1, 65-78 , 2007.
ZBL : 1015.43003, MR 2359101.
32.
Wavelet representations for Banach spaces of multipliers on locally compact
abelian groups. Southeast Asian Bulletion of Mathematics. Vol. 33(2) 329-340,
2009.
33.
Gabor Multipliers For Weighted Banach Spaces on Locally Compact Abelian
Groups. Journal of Maths., Kyoto University. Vol. 49 (2) 235-254 , 2009.MR
2571839.
34.
Frames of translates for Banach Spaces on locally compact abelian groups.
(Accepted for publication, IJPAM).
35.
Gabor multipliers for weighted Banach spaces on the Heisenberg Group.
(Communicated for publication).
36.
Multipliers of Vector-Valued Segal algebras on locally compact abelian groups.
(Communicated for publication).
37.
Approximation of band-limited signals by Gabor expansions in weighted
modulation spaces. (Communicated for publication).
38.
Projection operators on fractal measures in modulation spaces. (Communicated for
publication).
39.
Gelfand triple isomorphisms for weighted Banach spaces on locally compact
groups. (Communicated for publication).
40.
Time-frequency analysis and
(Communicated for publication).
41.
Time-frequency localization of Gabor transforms on locally compact abelian
groups. (Communicated for publication).
42.
Wavelet multipliers for weighted Banach spaces on a Mackey group.
(Communicated for publication).
multipliers
9
for
weighted
Segal
algebras.