**Invited Lectures in
International Conferences :**

Special Symposium on Approximation Theory and its
Applications, Ramanujan Institute of Advanced study
in Mathematics, Chennai, 1993 (Title: On - improving measures)

International Workshop on Schrodinger Operators, The
Institute of Mathematical Sciences, Chennai, 1995(Title: Multipliers for the Weyl transform)

International Workshop on Linear Algebra, Numerical
Functional Analysis, Wavelet Analysis, Cochin University, 2001 (Title : Tridiagonal operators and numerical algorithms)

International Workshop on Linear Algebra, Numerical
Functional Analysis, Wavelet Analysis, Cochin University, 2001 (Title : Wavelets:
An unconditional basis of )

Fourth Congress of the International Society for
Analysis, its applications and computation (ISAAC), York University, Toronto,
Canada , 2003 (Title : Multipliers for Hermite and Laguerre Sobolev spaces)

India-AMS Joint Meeting, IISc,
Bangalore, (Title : Invertibility
of a Tridiagonal Operator)

International Conference on Recent advances in operator
theory and operator algebras, Indian Institute of Science, Bangalore, 2005 (Title : Hardy's inequalities - Recent Developments)

International conference on Functional and Harmonic
Analysis, IIT Kanpur, 2006 (Title : Hermite semigroup and holomorphic
Sobolev spaces)

International conference on Analysis and applications, IISc, Bangalore, 2009 (Title : Non
uniform sampling in shift invariant spaces)

**Invited Lectures in
National Symposiums :**

8^{th}
Discussion Meeting in Harmonic Analysis, The Institute of Mathematical
Sciences, Chennai 2002 , (Hardy type inequalities)

National Symposium on
Recent trends in Operator theory and Banach Algebra, Ramanujan Institute for Advanced Study in Mathematics,
Chennai, 2004, (**Title** : Multipliers for Hermite
Expansions)

National Symposium on
Recent trends in Analysis, Ramanujan Institute for
Advanced Study in Mathematics, Chennai, 2005, (**Title** :
Hardy's inequalities for Hermite Expansions)

9^{th}
Discussion Meeting in Harmonic Analysis, Harishschandra
Research Institute, Allahabad, 2005 (**Title** :
Non uniform sampling problem)

National Seminar on
Modern trends in Analysis and applications, Kerala Mathematical Association, Thrissur, 2006 (**Title** :
Multipliers for Fourier transform)

23^{rd} annual
conference of Ramanujan Mathematical Society, IIT
Kanpur, May 19-21,2008 ( **Title** : Holomorphic Hermite Sobolev spaces and Paley-Wiener
theorem)

16th Ramanujan Symposium on Fourier Analysis and Its
Applications, Ramanujan Institute for Advanced Study
in Mathematics, Chennai, 2009 (**Title**
: Fourier multipliers for Sobolev spaces on the
Heisenberg group)

AICTE-sponsoredConference on 'Wavelet Applications to Medical Image Processing'during 19-20 August 2010 (**Title**: Local construction method and wavelets)

Ramanujan Symposium, D.B.Jain College, Chennai 2011 (**Title**: Fourier - Ramanujan coefficients of certain arithmetical functions.

National Conference on Recent Trends in Advanced Mathematics, Easwari Engineering college, Chennai , December 2012 (**Title**: Non uniform sampling and reconstruction).

** **

**Participation as a
Resource Person in Workshops/Training Programs :**

Mathematics Training
and Talent Search Programme, IIT-Madras, 1998 (**Gave
a course** of lectures in Real Analysis)

Refresher course on
Wavelets and their Applications , Trivandrum
University College, 2000 (**Gave a course** of lectures on Calderon-Zygmund Theory and applications to Wavelets)

Regional Workshop on
Analysis, Theivanai Ammal
College for Women, Villupuram, 2003 ( **Title** : Introduction to Wavelets)

National Workshop on
Recent Advances in Mathematics, Cochin University of Science & Technology,
Cochin, 2004 ( **Title** : Wavelet based Image Compression - An
Introduction)

AICTE sponsored QIP
short term course on Fourier Analysis, IIT Madras, Chennai, 2004 (**Title** : Fourier Series and Wave equations)

ISTE short term
training programme on "Numerical Linear Algebra",IIT Madras, Chennai , 2004 (**Title** :
Wavelets and Image Processing)

Gave a series of
lectures in QIP - short term training programme on
"Fourier transform, Wavelet transform and applications", IIT Madras,
2004 (**Title **: Compactly supported Wavelets and
applications to Image processing)

Workshop on
"Boundary value problems in mechanics and heat transfer", M.N.M. Jain
Engineering College, Chennai , 2005 (**Title :**
Fourier series and applications)

Gave a series of
lectures in Quality Improvement Programme in Harmonic
Analysis and Partial differential equations, IIT Madras, January 2007 (**Title**
: Fourier transform)

Gave a series of
lectures in "NBHM - Nurture Programme " , The Institute of Mathematical Sciences, June 2007
(**Title :** Matrices and Vectors)

Gave a series of
lectures in "Summer training programme in
Mathematics for post graduate students", Ramanujan
Institute for Advanced study in Mathematics, July 2007 (**Title
**: Fourier Analysis)

Gave a series of
lectures in "National Instructional Workshop in Wavelet Analysis",
Department of Mathematics, Banaras Hindu University, 2007 (**Title**
: Fourier transform and Wavelet transform )

Gave a series of lectures in "Refresher course on
Analysis" for college teachers,Ramanujan Institute for Advanced study in
Mathematics, November 2008 (**Title **: Equicontinuity and Ascoli- Arzela
theorem)

Gave a series of lectures in "Second Summer Training
Programme in Mathematics for post graduate
students", Ramanujan Institute for Advanced
study in Mathematics, June 2009 (**Title **: Fourier Analysis)

Gave two lectures in "Summer programme
in Mathematics", Chennai Mathematical Institute, Chennai, June 2009 **(Title : Sequences
of functions)**

Gave two lectures for polytechnic teachers in National
institute for technical training research and education, 2009 (**Title :**** **Fourier analysis and applications)

Gave three 90-minutes lectures in Semester on Analysis,
Chennai Mathematical Institute, Chennai, March 2010 **(Title : Time frequency analysis )**

**Other Invited
Lectures:**

Colloquium Lecture,
Indian Statistical Institute, Bangalore, 1995 (**Title :**
Characterisations of multipliers on a locally compact
abelian group)

Weekly seminar , Anna University, Chennai , 1997 (**Title :**
Wavelets : An introduction )

One-day Symposium on
Mathematics and applications, Golden Jubilee Celebrations, VOC College, Tuticorin, 2001 (**Title**: Linear Algebra and Wavelet expansios)

Colloquium Lecture,
Indian Statistical Institute, Bangalore, 2002 (**Title :**
Finite dimensional truncations of operators)

Rajalakshmi Engineering College, Chennai, 2004, (**Title**
: Wavelets and applications , As part of Valedictory address)

Seminar
, D.B.Jain
College, Chennai, 2005 (**Title** : Solutions of Wave and Heat equations)

Communication
Colloquium, Rajalakshmi Engineering College , Chennai, 2006 (**Title** : Biomedical Imaging)

Weekly Seminar, The
Institute of Mathematical Sciences, Chennai 2006 (Title :
Multipliers on non abelian groups)

Seminar in Harmonic
Analysis, IISc, Bangalore, May 2007 (**Title** : Multipliers for the Heisenberg group)

Talk in Department of Mathematics, IISc, Bangalore, October 2012 (**Title** : Shift invariant spaces on the real line and a compact group)

**Other Series of Lectures:**

Harmonic Analysis, The Institute of Mathematical Sciences, 1995

Frames and Wavelet Analysis, IIT- Madras, 1996