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Department Of Mathematics

DEPARTMENTS

Engineering

Science

CENTRE

Dr. Madan Mohan Dixit

Professor

Continuous and Discrete Wavelet Transforms

Contact
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PROFESSIONAL BACKGROUND
From(Date of Joining)ToDesignationOrganisationNature of Association
05.10.2019Till dateProfessorNERISTRegular
05.10.201604.10.2019Associate ProfessorNERISTRegular
25.07.2006
04.10.2016Assistant ProfessorNERISTRegular
14.07.200524.07.2006LecturerDN Govt. College, ItanagarRegular
01.03.200413.07.2005LecturerRajiv Gandhi Polytechnic, ItanagarRegular
14.07.200326.02.2004LecturerThakur Polytechnic, MumbaiRegular
EDUCATIONAL QUALIFICATION
DegreeSubjectUniversityYear
Ph.DMathematicsBanaras Hindu University 2002
M.Sc.MathematicsBanaras Hindu University1998
B.Sc.Physics, Chemistry, MathematicsVBS Purvanchal University1995
ADMINISTRATIVE BACKGROUND
FromToDesignationOrganisation
24.06.2024Till dateHead of DepartmentNERIST
07.01.202001.03.2024Chairman HACNERIST
September, 2016September, 2018Member NEE CommitteeNERIST
July, 2011August, 2014Member of Central Time Table Committee (CTTC)NERIST
August, 2011September, 2013Member NEE CommitteeNERIST
February, 2006August, 2007Member NEE CommitteeNERIST
MEMBERSHIPS IN PROFESSIONAL BODIES
  1. Life Member of ISTE LM 39417

TEACHING ENGAGEMENTS
TitleCourse CodeModuleSemester
M. TECH. THESIS SUPERVISED
Title of ProjectNames of Students
PH.DS SUPERVISING
TopicScholar NameStatus of PhDRegistration Year
“Study on some General Classes of Estimators of Finite Population Mean in Sample Surveys.”
 		Waikhom Warseen ChanuAwarded2011
“Asymptotic approximations of Continuous Wavelet Transformations”Prabhat YadavAwarded2012
“A Study on Certain Type of Wavelets and Wavelet Transforms.”Rajesh KumarAwarded2011
“Generalized Wavelets and Wavelet Transforms.”Deepanjan DasAwarded2014
PARTICIPATION IN SHORT TERM COURSES
Course NameSponsored ByDate
COURSES OR CONFERENCES ORGANISED
Conference NameSponsored ByDate
One day workshop on finalization of B.Sc. Syllabus as per NEP-2020 NERIST13.11.2024
One day workshop on National Mathematics DayNERIST22.12.2024
BOOKS AUTHORED
  1. C. P. Pandey and M. M. Dixit, Generalized Wavelet Transforms, Lambert Publication, Mauritius (2019). ISBN : 978-613-9-49281-7
  2. 1.R.S Pathak and, M.M Dixit ,Editor Geetha S. Rao, New Age international (P) limited, publishers (2004) pp. 59-80. (Book Chapter).
PUBLICATIONS
  1. R.S Pathak and, M.M Dixit, Continuous and discrete Bessel wavelet transforms, J. of computational and applied mathematics, 160 (2003), 241-250.(Impact Factor 1.883)
  2. R.S Pathak and, M.M Dixit, Bessel wavelet transform on certain functions distribution spaces, J. of analysis and applications (1) 2003, 65-83. ISSN: 0972-5954
  3. Akhilesh Prasad, Ashutosh Mahato and M.M. Dixit, The Bessel Wavelet transform, Int. J. of mathematical analysis Vol. 5, 2011, no. 2, 87 - 975.
  4. Akhilesh Prasad, Vishal Singh and M. M. Dixit, Pseudo-differential operators involving Hankel-Clifford transformation, Asian-European Journal of Mathematics Vol. 5, No. 3 (2012) 1250040 (15 pages)_World Scientific Publishing Company DOI: 10.1142/S1793557112500404.
  5. Akhilesh Prasad, Ashutosh Mahato, Vishal Kumar Singh and Madan Mohan Dixit, The continuous fractional Bessel wavelet transformation, Prasad et al. Boundary Value Problems 2013, 2013:40.(Impact Factor 1.95).
  6. .Akhilesh Prasad, Ashutosh Mahato and M.M. Dixit, Continuity of the Bessel wavelet transform on certain Beurling-type function spaces, Prasad et al. Journal of Inequalities and Applications 2013, 2013:29(Impact Factor 2.54).
  7. Ashish Pathak, M.M Dixit., P.S Upreti, Numerical solution of system of generalized Abel's integral equation using Legendre multiwavelet, Vol. 5, Issue. 1, 2013, pp. 28-36 Online ISSN: 1943-2364.
  8. C.P. Pandey and M.M. Dixit, Rajesh Kumar, Generalised Wavelet transform associated with Legendre Polynomials, International Journal of Computer Applications Volume 108 – No 12, December 2014   ISSN: 0975-8887.
  9. C.P. Pandey, M.M. Dixit and Rajesh Kumar, ‘’CALDERON’S REPRODUCING   FORMULA FOR FOURIER-JACOBI CONVOLUTION’’,  International Journal of Physical and Mathematical Sciences Vol 5, No 1 (2015) ISSN: 2010-1791.
  10. Ashish Pathak, Prabhat Yadav, M.M. Dixit, Asymptotic Expansion Of Wavelet Transform , Advances in Pure Mathematics, 2015, 5, 21-26 (2015). 
  11. Ashish Pathak,  Prabhat Yadav, M.M. Dixit,  ‘’ON CONVOLUTION FOR GENERAL NOVEL FRACTIONAL WAVELET TRANSFORM" , Advanced Research in Scientific Computing, Vol. 7, Issue. 1, 2015, pp. 30-37  ISSN: 1943-2364.
  12. Ashish Pathak,  Prabhat Yadav, M M Dixit,  “ AN ASYMPTOTIC  EXPANSION OF   CONTINUOUS WAVELET TRANSFORM FOR  LARGE VALUES OF b”, Investigation  in Mathematical sciences, vol. 5, 2016, 87-92. ISSN : 2250-1436.
  13. Ashish Pathak, Prabhat Yadav, M. M. Dixit, An Asymptotic Expansion of Continuous Wavelet Transform for Large Dilation Parameter, Bol. Soc. Paran. Mat. (3s.) v. 36 3 (2018): 27–39. (SCOPUS, ESCI).
  14. 13.C.P. Pandey , M.M. Dixit , Asymptotic Expansions of Legendre   Wavelet, International Journal of Applied Engineering Research ISSN 0973-4562   Volume 13, Number 16 (2018) pp. 12887-12891. (SCOPUS, UGC APPROVED JOURNAL NO : 64529).
  15. .M. M. DIXIT, C. P. PANDEY, RAJESH KUMAR, Caldron Reproducing Formula For Legendre Convolution, International Journal of Computational Engineering Research, ISSN (e): 2250 – 3005 || Volume, 08 || Issue, 8|| August – 2018 ||  (IJCER) (UGC Approved Journal No. 47631).
  16. M. M. Dixit and C. P. Pandey, Generalized Dunkl Wavelet on N – Dimensional Spaces, Journal of Computer and Mathematical Sciences, Vol.9(8), 941-947 August 2018 (UGC Approved Journal No. 44720).
  17. M. M. Dixit, C. P. Pandey and Deepanjan Das, Calderon’s Reproducing  Formula for Generalized Chebyshev Convolution, Journal of Computer and Mathematical Sciences, Vol.10(2),384-391 February 2019 (UGC Approved Journal No. 44720).
  18. M. M DIXIT, C. P. Pandey, Deepanjan Das, CALDERON’S REPRODUCING FORMULA FOR EIGENFUNCTION CONVOLUTION, IJRAR January 2019, Volume 06, Issue 1.
  19. M.M. DIXIT, C.P. PANDEY AND DEEPANJAN DAS, GENERALIZED CONTINUOUS WAVELET TRANSFORM ON LOCALLY COMPACT ABELIAN GROUP, Adv. Inequal. Appl. 2019, (UGC Approved Journal No. 48787).
  20. MADAN MOHAN DIXIT, CHANDRA PRAKASH PANDEY, DEEPANJAN  DAS, Inversion Formula For The Eigen Function Wavelet Transform, Advances in Mathematics: Scientific Journal 9 (2020), no.9, 6483–6490. (SCOPUS).
  21. C.P. PANDEY, M.M. DIXIT, DEEPANJAN DAS, THE CONTINUOUS GENERALIZED WAVELET TRANSFORM ASSOCIATED WITH q BESSEL OPERATOR, Bol. Soc. Paran. Mat. (3s.) SCOPUS, ESCI) ,  Accepted.