Details of Publications:

      Refereed Journals

1.      R.Radha and N.Shravan Kumar, Weyl transform and Weyl multipliers associated with locally compact abelian groups, Journal of Pseudo Differential Operators and Applications (Birkhauser), Accepted for publication, 2017

2.      R.Radha and Saswata Adhikari, A sampling theorem for the twisted invariant space, Advances in Pure and Applied Mathematics (De Gruyter), Accepted for publication, 2017

3.      A. Antony Selvan and R.Radha, An optimal result for sampling density in shift invariant spaces generated by Meyer scaling function, Journal of Mathematical Analysis and Applications (Elsevier), 451, 2017, pp 197-208

4.      A.Antony Selvan and R.Radha, Invertibility of a tridiagonal operator with an application to a non-uniform sampling problem, Linear and Multilinear Algebra (Taylor and Francis), 65 (5), 2017 pp 973-990

5.      A.Antony Selvan and R.Radha, Frames in Hermite-Bergman and special Hermite-Bergman spaces, Journal of Pseudo Differential Operators and Applications (Birkhauser), . DOI: 10.1007/s11868-016-0178-4, 2016

6.      A.Antony Selvan and R.Radha, Separation of zeros, a Hermite interpolation based and a frame based reconstruction algorithms for bandlimited functions, Sampling theory in Signal and Image Processing, (Shannon centennial volume), 15, 2016 , pp 21-36

7.      J.Balasuyambu, R.Radha and R.Rama, New cellular automata based image cryptosystem and a novel non-parametric pixel randomness test, Security and Communication Networks (Wiley), 9 (16), 2016, pp 3365-3377

8.      A.Antony Selvan and R.Radha, Sampling and reconstruction in shift invariant spaces of B -spline functions, Acta Applicandae Mathematicae (Springer), 145 (1), 2016, pp 175-192

9.      R.Radha and Saswata Adhikari, Frames and Riesz bases of twisted shift- invariant spaces in L^2(R^2n), Journal of Mathematical Analysis and Applications (Elsevier), 434 (2), 2016, pp 1442-1461.

10.      A.Antony Selvan and R.Radha, Sampling and reconstruction in shift-invariant spaces on R^d, Annali di Mathematica Pura ed Applicata (Springer), 194 (6), 2015, pp 1683-1706

11.      R.Radha and N.Shravan Kumar, Shift-invariant spaces on compact groups, Bulletin des Sciences Mathematiques (Elsevier), 137 (4), 2013, pp 485-497.

12.      R.Radha, S.Thangavelu and D.Venku Naidu, On the images of Sobolev spaces under the heat kernel transform on the Heisenberg group, Mathematische Nachricten (Wiley), 286 (13), 2013, pp 1337-1352.

13.      R.Radha and D. Venku Naidu, Generalized Bargmann transform and group representation, Bulletin des Sciences Mathematiques (Elsevier), 135, 2011, pp 206-214.

14.  R.Radha and D. Venku Naidu, Frames in generalized Fock spaces, Journal of Mathematical Analysis and Applications (Elsevier), 378, 2011, pp 140-150.

15.  S.Jitendriya, R.Radha and D.Venku Naidu, Fourier multipliers for Lp spaces on the Heisenberg group, Analysis Mathematica (Springer), 36, 2010, pp 51-70.

16.  R.Radha and S.Jitendriya, L^p-multipliers for the Hilbert space valued functions on the Heisenberg group, Monatshefte fur Mathematik (Springer), 160, 2010, pp 95-107.

17.  R.Radha and S.Thangavelu, Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform, Journal of Mathematical Analysis and Applications (Elsevier), 354, 2009, pp 564-574.

18.  Radha and S.Sivananthan , Local reconstruction method and voice system, Computers and Mathematics with Applications (Elsevier), 58 (1), 2009, pp 74-79.

19.  S.Jitendriya and R.Radha, A characterization of right translation invariant operators from Lp(Hn, A) into Lq(Hn,A**), Journal of Analysis and Applications, 7 (3), 2009, pp 131-142.

20.  S.H.Kulkarni, R.Radha and S.Sivananthan, Non uniform sampling problem, Journal of Applied Functional Analysis , 4, (1), 2009, pp 58-74.

21.  R.Radha and S.Sivananthan, Local reconstruction from a non-uniform sampled data, Applied Numerical Mathematics (Elsevier), 59, 2009, pp 393-403.

22.  R.Radha and D.Venku Naidu, Image of Lp(R^n) under Hermite semigroup, International Journal of Mathematics and Mathematical Sciences (Hindawi), 2008, 2008, ID 287218, 13 pages.

23.  S.Jitendriya and R.Radha, Characterisation of L1 multipliers for the Heisenberg group, International Journal of Mathematical Analysis, 2, ( 8), 2008, pp 353 -363.

24.  R.Radha and S.Sivananthan, Shannon type sampling theorems on the Heisenberg group, Fields Institute communications (American Mathematical Society), 52, 2007, pp 367-374.

25.  R.Radha and A.K.Vijayarajan, A convolution type characterization for L^p - multipliers for the Heisenberg group, Journal of Function Spaces and Applications (Hindawi), 5 (2), 2007, pp 175 -182.

26.  S.Jitendriya and R.Radha, Characterisation of L1-Lp multipliers for the Heisenberg group, International Journal of Pure and Applied Mathematics (Academic Publications) 34 (no : 4 ) (2007), pp 537-548.

27.  R.Balasubramanian, S.H.Kulkarni and R.Radha, Solution of a tridiagonal operator equation, Linear algebra and Applications (Elsevier), 414 (2006), pp 389-405.

28.  G.V.Deepa and R.Radha, Wavelets in a finite dimensional vector space and decomposition of a signal, International Journal of Pure and Applied Mathematics (Academic Publications) 2 no 1 (2005) pp 63-78.

29.  R.Balasubramanian and R.Radha, Hardy type inequalities for Hermite expansions, Journal of Inequalities in Pure and Applied Mathematics, 6 no 1 (2005), pp 1-9.

30.  R.Radha and S.Thangavelu, Multipliers for Hermite and Laguerre Sobolev spaces, The Journal of Analysis (Springer), 12 (2004), pp 183-191.

31.  R.Radha and S.Thangavelu, Hardy's inequalities for Hermite and Laguerre expansions, Proceedings of American Mathematical Society (American Mathematical Society),132, no.12 (2004), pp 3525 - 3536.

32.  R.Balasubramanian, S.H.Kulkarni and R.Radha, Non invertibility of certain almost Mathieu operators, Proceedings of American Mathematical Society (American Mathematical Society), 129 (2001), pp 2017-2018.

33.  R.Radha, Hardy type inequalities, Taiwanese Journal of Mathematics (The Mathematical Society of Republic of China), 4, no. 3 (2000), pp 447-456.

34.  R.Radha and S.Thangavelu, Weyl multipliers for invariant Sobolev spaces, Proceedings-Mathematical sciences (Springer) , 108, no 1 (1998), pp 31-40.

35.  R.Radha, Multipliers for the pair ( L1 (G,A), Lp (G,A)), Acta Scientiarum Mathematicarum (Szeged), 61 (1995), pp 357-365.

36.  R.Radha and K.R.Unni, Multipliers and Ap(G)-algebras, Acta Scientiarum Mathematicarum (Szeged), 59 (1994), pp 591-602.

37.  R.Radha and K.R.Unni, The class of multipliers for M(S(G), Lp(G)), Vikram Mathematical Journal, 11 (1991), pp 1-6.

Books / International Conference Proceedings (Edited):

1.      M. Krishna, R. Radha, S. Thangavelu (Eds.), Wavelets and their applications, Allied Publishers, 2003.

2.      Zoran Majkic, Michael Sipser, R. Radha, Daming Wei (Eds.): International Conference on Theoretical and Mathematical Foundations of Computer Science, TMFCS-08, Orlando, Florida, USA, July 7-10, 2008. ISRST 2008, ISBN 978-1-60651-006-3.

3.      Zoran Majkic, R.Radha, Sun-Yuan Hsieh (Eds.): InternationalConference on Theoretical and Mathematical Foundations of Computer Science, TMFCS-09, Orlando, Florida, USA, July 13-16, 2009. ISRST 2009, ISBN: 978-1-60651-014-8.

Lecture Notes:

1.      R.Radha and S.Thangavelu, Fourier Analysis, NPTEL NOTES, 2012, http://nptel.ac.in/courses/111106046/

Research papers in Conference proceedings :

1.      R.Radha, Multipliers for the Weyl transform, Proceedings of the International Conference on "Schrodinger Operators", Chennai 1995, 75-88.

2.      R.Balasubramanian, S.H.Kulkarni and R.Radha, Finite dimensional approximation of the Operator Equations, International Workshop on Linear Algebra, Numerical Functional Analysis and Wavelet Analysis, Allied Publishers, October 2003, pp 57-69.

3.      R.Radha, Characterisation of multipliers, Proceedings of National Seminar on Modern trends in Analysis and applications, Kerala Mathematical Association, Thrissur, 2006, pp 45 -53.

4.      R.Radha, Hardy's inequalities for Hermite expansions, Recent trends in Analysis, Publications of the Ramanujan Institute, 2006, pp 26-38.

5.      R.Radha and S.Sivananthan, Reconstruction of image in shift invariant spaces, Proceedings of International Conference on Artificial Intelligence and Pattern recognition, Orlando, Florida, USA, 2007, pp 58-62

Preprints (Communicated for publication)

1.      Arati Sashi and R.Radha, Orthogonality of wavelet system on the Heisenberg group and twisted wavelet system on C, 2016

2.      R.Radha and Saswata Adhikari, Left translates of a square integrable function on the Heisenberg group, 2016

3.      R.Radha and Saswata Adhikari, Shift-invariant spaces with countably many mutually orthogonal generators on the Heisenberg group, 2016

4.      R.Radha and N.Shravan Kumar, Weyl transform and Weyl multipliers associated with locally compact abelian group, 2015

5.      R. Radha, K.Sarvesh and S.Sivannathan, Sampling and reconstruction in a shift-invariant space with multiple generatos, 2017