|
1 |
(with Adimurthi)
Composition of variable coefficient singular integral operators,
Proc. Ind. Acad. Sci.94 (1985), 1-22.
|
|
2 |
Multipliers for
Hermite expansions, Revist. Mat. Ibero. 3 (1987), 1-24.
|
|
3 |
Summability of Hermite
expansions I, Trans. Amer. Math. Soc. 314 (1989), 119-142.
|
|
4 |
Summability of Hermite
expansions II, Trans. Amer. Math. Soc. 314 (1989), 143-170.
|
|
5 |
Summability of
Laguerre expansions, Anal. Math. 16 (1990), 303-315.
|
|
6 |
Riesz means for the
sublaplacian on the Heisenberg group, Proc. Ind. Acad. Sci. 100
(1990), 147-156.
|
|
7 |
Multipliers for the
Weyl transform and Laguerre expansions, Proc. Ind. Acad. Sci. 190
(1990), 9-20.
|
|
8 |
Some uncertainty
inequalities, Proc. Ind. Acad. Sci. 100 (1990), 137-145.
|
|
9 |
Riesz transforms and
wave equation for the Hermite operator, Comm. P.D.E. 15 (1990),
1199-1215.
|
|
10 |
Hermite expansions on
IR2n for radial functions, Revist. Mat. Ibero. 6 (1990),
61-74.
|
|
11 |
Littlewood-Paley-Stein
theory on Cn and Weyl multipliers, Revist. Mat. Ibero. 6
(1990), 75-90.
|
|
12 |
On almost every where
and mean convergence of Hermite and Laguerre expansions, Colloq.
Math. 60 (1990), 21-34.
|
|
13 |
Restriction theorems
for the Heisenberg group, J. reine angew. Math. 414 (1991), 51-65.
|
|
14 |
Some restriction
theorems for the Heisenberg group, Stud. Math. 99 (1991), 11-21.
|
|
15 |
Spherical means on the
Heisenberg group and a restriction theorem for the symplectic
Fourier transform, Revist. Mat. Ibero. 7 (1991), 135-155.
|
|
16 |
Weyl multipliers,
Bochner-Riesz means and special Hermite expansions, Ark. Mat. 29
(1991), 307-321.
|
|
17 |
A multiplier theorem
for the sublaplacian on the Heisenberg group, Proc. Ind. Acad. Sci.
101 (1991), 1-9.
|
|
18 |
Transplantation,
summability and multipliers for multiple laguerre expansions, Tohoku
Math. J. 44 (1992), 279-298.
|
|
19 |
On conjugate Poisson
integrals and Riesz transforms for Hermite expansions, Colloq. Math.
64 (1993) 103-113.
|
|
20 |
Hermite expansions on
IRn for radial functions, Proc. Amer. Math. Soc. 118
(1993), 1099-1102.
|
|
21 |
A note on a
transplantation theorem of Kanjin and multiple Laguerre expansions,
Proc. Amer. Math. Soc. 119 (1993), 1135-1145.
|
|
22 |
On Paley-Wiener
theorems for the Heisenberg group, J. Funct. Anal. 115 (1993),
24-44.
|
|
23 |
On regularity of
twisted spherical means and special Hermite expansions, Proc. Ind.
Acad. Sci. 103 (1993), 303-320.
|
|
24 |
On spherical means and
CR functions on the Heisenberg group, J. Analyse. Math. Vol. 63
(1994), 255-286.
|
|
25 |
A Paley-Wiener theorem
for step two nilpotent Lie groups, Revist. Math. Ibero, Vol. 10 (
1994), 177-187.
|
|
26 |
Mean periodic
functions on phase space and the Pompeiu problem with a twist, Ann.
Inst. Fourier.,Vol. 45 (1995), 1007-1035. |
|
27 |
(with A. Sitaram and
M. Sundari) Uncertainty principles for some locally compact groups.
Proc. Ind. Acad. Sci. 105 (1995), 135-151.
|
|
28 |
(with J. Peetre and
N-O. Wallin) Generalised Fock spaces, abstract interpolation
multipliers and circle geometry. Revist. Math. Ibero., Vol. 12(
1996), 63-110. |
|
29 |
(with V. Pati, A.
Sitaram and M. Sundari) Eigenfunction expansions and the uncertainty
principle , J. Fourier Anal. and Appl., 2 (1996), 427-433.
|
|
30 |
(with P. K. Rathnakumar)
Analogues of Besicovitch-Wiener theorem for the Heisenberg group, J.
Fourier Anal. and Appl., 2 (1996), 407-414.
|
|
31 |
(with A. Nevo)
Pointwise ergodic theorems for radial averages on the Heisenberg
group, Advances in Math. 127 (1997), 307-334.
|
|
32 |
(with P. K. Rathnakumar)
Spherical means, wave equation and Hermite-Laguerre expansions, J.
Functional. Anal. 154 (1998), 253-290.
|
|
33 |
(with Rama Rawat and
P. K. Rathnakumar) A restriction theorem for the Heisenberg motion
group, Studia Math. 126(1)(1997), 1-12.
|
|
34 |
Hermite and special
Hermite expansions revisited, Duke J. Math. 94 (1998), 257-278.
|
|
35 |
On
Paley-Wiener
properties
of the
Heisenberg
group,
Current Science,
73(6)
(1997), 519-522.
|
|
36 |
(with R. Radha) Weyl
multipliers for invariant Sobolev spaces, Proc. Indian Acad. Sci.
108 (1998), 31-40
|
|
37 |
Local ergodic theorems
for K-spherical averages on the Heisenberg group, Math.Z. 234
(2000), 291-312
|
|
38 |
Some remarks on
Bochner-Riesz means, Coloq. Math.83 (2000), 217-230
|
|
39 |
(with E. K.Narayanan)
On the equisummability of Hermite and Fourier expansions, Proc. Ind.
Acad. Sci 111 (2001), 95-106
|
|
40 |
(with
G.
Sajith)
On the
injectivity
of
twisted
spherical
means,
Israel
J. of
Math. 122
(2001), 79-92.
|
|
41 |
An analogue
of
Hardy’s
theorem
for the
Heisenberg
group,
Colloq.
Math. 87 (2001), 137-145.
|
|
42 |
(with E. K. Narayanan)
Oscillating multipliers for certain differential operators, Colloq.
Math 90 (2001), 37-50
|
|
43 |
(with
E. K.
Narayanan)
On
injectivity
sets
for
the
spherical
means
on
the
Heisen- berg
group,
J.Math.Anal. and
Appl.
263
(2001),
565-579 |
|
44 |
Revisiting
Hardy’s
theorem
for
the
Heisenberg
group,
Math.Z
242
(2002),
761-779.
|
|
45 |
(with
E. K.
Narayanan)
Oscillating
multipliers
on
the
Heisenberg
group, Colloq. Math.
90
(2001),
37-50.
|
|
46 |
Hardy’s
theorem
for the
Helgason
Fourier
transform
on
rank
one symmetric
spaces,
Colloq.
Math.
94
(2002),
263-280.
|
|
47 |
(with
C. Smitha)
On
Strichartz’s
uncertainty inequality
on the
Heisenberg
group,
Tohoku
Math.
J. 55
(2003),
451-466.
|
|
48 |
(with
B.
Rajeev)
Probabilistic
representations
of
solutions
to
the
heat
equation, Proc.
Ind.
Acad. Sci.
113
(2003),
321-332.
|
|
49 |
On
Paley-Wiener
and
Hardy
theorems
for NA
groups,
Math.
Z. 245
(2003),
483-502.
|
|
50 |
(with
R. Radha)
Hardy’s
inequalities
for Hermite
and
Laguerre
expansions,
Proc.
Amer.
Math.
Soc.
132 (2004), 3525-3536.
|
|
51 |
On theorems
of
Beurling,
Gelfand-Shilov
and Hardy
for
semisimple
groups,
Publi.
RIMS
Vol.
40
(2004),
311-344. |
|
52 |
(with
E.
K.
Narayanan)
An
optimal
theorem
for
the
spherical
maximal operator on
the
Heisenberg
group,
Israel
J.
Math. 144 (2004),
211-219.
|
|
53 |
(with B. Krotz and Y. Xu) The
heat kernel transform for the Heisenberg group, J. Funct. Anal. 225
(2005), 301-336.
|
|
54 |
(with
R. P. Sarkar)
On theorems
of
Beurling
and
Hardy
for the
Euclidean
motion
group,
Tohoku
Math
J.
(to
appear).
|
|
55 |
(with Y.
Xu) Convolution operator and maximal function for the Dunkl
transform, J. Analyse Math. 97 (2005), 25-55.
|
|
56 |
Poisson
transform for the Heisenberg group and eigenfunctions of the
sublaplacian Math. Ann. 335, 879-899 (2006).
|
|
57 |
(with E.K.Narayanan) A
spectral Paley-Wiener theorem for the Heisenberg group and a support
theorem for the twisted spherical means on Cn.
Ann. Inst. Fourier
(Grenoble)
56 (2006), 459-473.
|
|
58 |
(With
S.Parui)
Variations
on a
theorem
of Cowling
and Price
with
applications
to
nilpotent
Lie
groups,
J.
Austr.
Math.
Soc.
82 (2007),no. 1, 11-27.
|
|
59 |
Gutzmer’s
formula and Poisson integrals on the Heisenberg group, Pacific J.
Math. 231 (2007), no.1, 217-237.
|
|
60 |
A Paley-Wiener
theorem for the inverse Fourier transform on some homogeneous
spaces, Hiroshima Math. Journal, 37(2007), no.2, 145-159.
|
|
61 |
Holomorphic Sobolev spaces associated to compact symmetric spaces,
J. Funct. Anal. 251(2007), no. 2, 438-462.
|
|
62 |
.
(with R.
Sarkar) An analogue of the Wiener Tauberian theorem for the
Heisenberg motion group, J. Indian Inst. of Science, 87(2007),
467-474. |
|
63 |
(with B. Kroetz and Y. Xu) Heat kernel transform for nilmanifolds
associated to the Heisenberg group, Revista Math. Ibero. (to
appear).
|
|
64 |
(with B. Rajeev) Probabilistic representations of solutions of the
forward equations, Potential Analysis (to appear).
|
|
65 |
An
analogue of Gutzmer’s formula for Hermite expansions, Stud. Math.
(to appear).
|
|
|
II. Research papers in
conference Proceedings |
|
|
|
|
1 |
(with
R.Radha) Multipliers for Hermite and Laguerre Sobolev spaces, The
Journal
of
Analysis, Vol.12 (2004),183-191
|
|
2 |
Hardy’s
theorem: A survey, in ’Advances in Analysis’, Proc. 4th ISAAC
congress, Ed. H.G.W.Begehr et al, World Scientific,(2005), 39-70.
|
|
3 |
(with Y.
Xu) Riesz transforms and Riesz potentials for the Dunkl transform,
J. Comp. and Appl. Math. 199 (2007),181-195.
|
|
4 |
Hermite
and Laguerre semigroups: some recent developments, CIMPA-Venezuela
lecture notes (to appear) |
|
|
III.Preprints |
|
|
|
|
1 |
(with Ron
Kerman) Weighted norm inequalities for the Abel means of Hermite and
special Hermite expansions (preprint).
|
|
2 |
(with S.
Parui) On theorems of Beurling and Hardy for certain step two
nilpotent Lie groups,(preprint)
|
|
3 |
(with R.
Radha), Holomorphic Sobolev spaces, Hermite and special Hermite
semi- groups and a Paley-Wiener theorem for the windowed
Fourier transform (preprint)
|
|
|
IV. Monographs |
|
|
|
|
A |
Lectures on Hermite
and Laguerre expansions, Princeton Univ. press, Princeton (1993).
|
|
B |
Harmonic analysis on
the Heisenberg group, Progress in Math. Vol 159, Bikhauser, Boston
(1998).
|
|
C |
(Edited
with
M.
Krishna
and
R.
Radha)
Wavelets
and
their
applications,
Allied Publishers,
Chennai
(2003).
|
|
D |
An
Introduction
to
the
uncertainty
principle:
Hardy’s
Theorem
on
Lie
groups,
Progr.
Math.
Vol.
217,
Birkhauser,
Boston
(2004)
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| |
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