Assistant Professor


Faculty Details

  • Citations Citations: 2922

  • HIndex HIndex: 25

  • i10 Index i10 Index: 63

  • Resume View


Research Papers Published

  • "Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution" Journal of Information and Computing Science, 9(1): 11 -21 {ISSN: 1746-7659} Impact Factor= 0
  • "Wave packet frames on local fields of positive characteristic,Elsevier" Applied Mathematics and Computations, 249(2): 133 -141 {ISSN: 0096-3003} Impact Factor= 2.2
  • "A Nonuniform multiresolution analysis on local fields of positive characteristic," Journal of Complex Analysis and Operator Theory,Springer, 10(3): 37 -41 {ISSN: 1661-8262} Impact Factor= 1.2
  • "A characterization of tight wavelet frames on local fields of positive characteristic, Springer" Journal of Contemporary Mathematical Analysis, 49(6): 251 -259 Impact Factor= 0.9
  • "The Predictive Power of Yield Spread: Evidence from Wavelet Analysis" Empirical Economics, Springer, 46(4): 887 -901 {ISSN: 1435-8921} Impact Factor= 1.5
  • "Are Euro-zone fixed income markets integrated? An analysis based on wavelet multiple correlation and cross-correlations" Economics Research International, Hindwai, 08(2): 1 -8 {ISSN: 1435-6729} Impact Factor= 0.345
  • "Vector-valued non-uniform multiresolution analysis on local fields" International Journal of Wavelets, Multiresolution and Information Processing, 13(4): Pub Med ID. 1550029 {ISSN: 0219-6913} Impact Factor=
  • "Tight framelet packets on local fields of positive characteristic" Journal of Classical Analysis, 6(2): 85 -101 Impact Factor=
  • "On framelet kernels of M-band wavelet frames" Gulf Journal of Mathematics, 3(4): 59 -66 Impact Factor=
  • "A new splitting trick for wavelet packets on local fields of positive characteristic" Poincare Journal of Analysis and Applications, 2(2): 93 -103 Impact Factor=
  • ", In search of leading indicator property of yield spread for India: An analysis based on quantile and wavelet regression" Economics Research International, 15(3): Pub Med ID. : 308567 Impact Factor=
  • "A characterization of multiwavelet packets on general lattices" International Journal of Nonlinear Analysis and Applications, 6(2): 69 -84 Impact Factor=
  • "p-Frame multiresolution analysis related to the Walsh functions" International Journal of Analysis and Applications, 7(1): 1 -15 Impact Factor=
  • "Frame multiresolution analysis on local fields of positive characteristic" Journal of Operators, 9(2): Pub Med ID. 308567 Impact Factor=
  • "On characterization of multiwavelet packets associated with a dilation matrix" Journal of Nonlinear Analysis and Optimization, 6(2): 11 -26 Impact Factor=
  • "On stationary and non-stationary M-band framelet packets" Journal of Mathematical Extension, 9(3): 25 -42 Impact Factor=
  • "Construction of periodic wavelet frames generated by the Walsh polynomials" Mathematics, 3(4): 1171 -1191 Impact Factor=
  • "Minimum energy wavelet frames generated by the Walsh polynomials" Cogent Mathematics, 2(2): Pub Med ID. 1114830 Impact Factor=
  • "Construction of multivariate tight framelet packets associated with dilation matrix" Analysis in Theory and Applications, 31(2): 109 -122 Impact Factor=
  • "Nonuniform multiresolution analysis on local fields of positive characteristic" Journal of Complex Analysis and Operator Theory, 9(7): 1589 -1608 Impact Factor=
  • "A characterization of biorthogonal multiwavelet packets with arbitrary dilation matrix" International Journal of Analysis and Applications, 9(2): 68 -82 Impact Factor=
  • "Haar wavelet operational matrix method for the numerical solution of fractional order differential equations" Nonlinear Engineering, 4(4): 203 -214 Impact Factor=
  • "Periodic wavelet frames on local fields of positive characteristic" Numerical Functional Analysis and Optimization, 37(5): 6 -627 Impact Factor= 1.5
  • "Gabor frames on local fields of positive characteristic" Tbilisi Mathematical Journal, 9(2): 129 -139 Impact Factor=
  • "Construction of shift invariant M-band tight framelet packets" TWMS Journal of Applied and Engineering Mathematics,, 6(1): 102 -114 Impact Factor=
  • "Vector-valued wavelet packets on local fields of positive characteristic" Newzealand Journal of Mathematics, 46(2): 9 -20 Impact Factor= .03
  • "Construction of biorthogonal wavelet packets on local fields of positive characteristic" Turkish Journal of Mathematics, 40(1): 292 -309 Impact Factor= 1.0
  • "Semi-orthogonal wavelet frames on local fields" Analysis, 36(3): 173 -182 Impact Factor= 1.5
  • "A characterization of MRA based wavelet frames generated by the Walsh polynomials" Analysis in Theory and Applications, 32(2): 164 -173 Impact Factor=
  • "Numerical solution of singularly perturbed problems using Haar wavelet collocation method" Cogent Mathematics, 3(2): 120 -135 Impact Factor=
  • "Wave packet systems on local fields" Journal of Geometry and Physics, 120(2): 5 -18 Impact Factor= 1.5
  • "An efficient wavelet based collocation method for handling singularly perturbed boundary-value problems in fluid mechanics" International Journal of Nonlinear Sciences and Numerical Simulations, 18(6): 7 -25 Impact Factor= 0.9
  • "Orthogonal Gabor systems on local fields" Filomat, 31(16): 5193 -5201 Impact Factor= 0.7
  • "Gabor-type expansions on local fields" SeMA, 74(31): 23 -33 Impact Factor= 0.5
  • "Sufficient condition for nonuniform wavelet frames on local fields" Facta Universitatis: Ser. Math. Inform, 32(4): 551 -564 Impact Factor=
  • "An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems" SeMA, 74(2): 457 -474 Impact Factor= 0.5
  • "Minimum-energy wavelet frames on local fields" International Journal of Applied and Computational Mathematics, 3(2): 3455 -3469 Impact Factor= 0.3
  • "Generalized wavelet collocation method for solving fractional relaxation-oscillation equation arising in fluid mechanics" International Journal of Computational Materials Science and Engineering, 6(2): 1 -17 Impact Factor= 0.0
  • "Numerical solution of fractional differential equations using Haar wavelet operational matrix method" International Journal of Applied and Computational Mathematics, 3(1): 2423 -2445 Impact Factor=
  • "Nonuniform wavelet packets local fields of positive characteristic" Filomat, 31(6): 1491 -1505 Impact Factor= 0.7
  • "Polyphase matrix characterization of framelets local fields of positive characteristic" Acta Univ. Sapientiae Mathematica, 9(1): 248 -259 Impact Factor= 0.0
  • ", Some new inequalities for wavelet frames on local fields" Analysis in Theory and Applications, 33(2): 134 -148 Impact Factor= 0.0
  • "Orthogonal wavelet frames generated by the Walsh polynomials" Acta Universitatis Apulensis, 49(1): 47 -65 Impact Factor= 0.0
  • "A converse problem related to the M-band wavelets" Southeast Asian Bulletin of Mathematics, 41(4): 553 -558 Impact Factor= 0.0
  • "A coalesce of SNE-Wavelet-SVM technique for network intrusion detection" International Journal of Security and its Applications, 4(5): 1 -14 Impact Factor=
  • "Fractional wavelet frames in L^2(R)" Fractional Calculus and Applied Analysis, 21(2): 399 -422 Impact Factor= 2.8
  • "Fractional wave packet systems in L^2(R)," Journal of Mathematical Physics, 59(3): 1 -18 {ISSN: 0022-2488} Impact Factor= 1.9
  • "Duals and multipliers of controlled frames in Hilbert spaces" International Journal of Wavelets, Multiresolution and Information Processing, 16(4): 43 -52 {ISSN: 0219-6913} Impact Factor= 1.3
  • "Wavelet neural network model for network intrusion detection system" International Journal of Information Technology, 10(3): 1 -13 {ISSN: 2511-2104} Impact Factor= 0
  • "Polar wavelet transform and the associated uncertainty principles" International Journal of Theoretical Physics, 57(6): 1774 -1786 {ISSN: 0020-7748} Impact Factor= 0.9
  • "Frames associated with shift invariant spaces on local fields" Filomat, 32(9): 3097 -3110 Impact Factor= 077
  • "Quaternionic shearlet transform" Optik, 175(6): 115 -125 Impact Factor= 1.5
  • "Gabor frames on non-Archimedean fields" International Journal of Geometric Methods in Modern Physics, 57(6): 1 -17 Impact Factor= 1.9
  • "Gabor-type expansions on local fields" Boletin de la Sociedad Espanola de Mathematica Aplicada (SeMA Journal),, 75(3): 485 -498 Impact Factor= 0
  • "Wavelet frame characterization of Lebesgue spaces on local fields" Annals Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), 64(2): 429 -445 Impact Factor= 0
  • "Wavelet neural network model for network intrusion detection system" International Journal of Information Technology, 11(2): 251 -263 Impact Factor= 2
  • "of fractional oscillator equations using ultraspherical wavelets" International Journal of Geometric Methods in Modern Physics, 16(5): Pub Med ID. 1950075 Impact Factor= 1.5
  • "Inequalities for nonuniform wavelet frames" Georgian Mathematical Journal, 10(11): 2019 -2026 Impact Factor= 1.0
  • "An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation" Russian Journal of Mathematical Physics, 26(1): 77 -93 Impact Factor= 1.2
  • "AB-wavelet frames in L^2(R^n)" Filomat, 33(11): 3587 -3597 Impact Factor= 0.9
  • "Numerical solution of Pennes bioheat transfer equation using Haar wavelet collocation method" Acta Univ. Sapientiae Mathematica, 10(2): 190 -205 Impact Factor= 0.5
  • "Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions" Integral Transforms and Special Functions, 12(6): 100 -118 Impact Factor= 1.2
  • "Non-isotropic angular Stockwell transform and the associated uncertainty principles" Applicable Analysis, 10(8): 1100 -1125 Impact Factor= 1.0
  • "Windowed special affine Fourier transform" Journal of Pseudo-Differential Operators and Applications, 20(11): 100 -123 Impact Factor= 1.0
  • "Linear canonical Stockwell transform" Journal of Mathematical Analysis and Applications, 33(11): 4010 -4039 Impact Factor= 1.4
  • "A computational wavelet method for solving dual phase-lag model of bioheat transfer model during hyperthermia treatment" Computational and Mathematical Methods, 2(1): 1 -14 Impact Factor= 0
  • "Uncertainty principles for the continuous shearlet transform in arbitrary space dimensions" Integral Transforms and Special Functions, 31(7): 538 -555 Impact Factor= 0.705
  • "Generalized wavelet quasi-linearization method for solving population growth model of fractional order" Mathematical Methods in the Applied Sciences, 46(2): DOI No. doi.org/10.1002/mma.6542 Impact Factor= 1.625
  • "Non-isotropic angular Stockwell transform and the associated uncertainty principles" Applicable Analysis, 27(4): DOI No. doi.org/10.1080/00036811.2019. Impact Factor= 1.107
  • "Windowed special affine Fourier transform" Journal of Pseudo-Differential Operators and Applications, 11(3): 1389 -1420 Impact Factor= 0.532
  • "Linear canonical Stockwell transform" Journal of Mathematical Analysis and Applications, 484(1): 1 -23 Impact Factor= 1.220
  • "A family of convolution-based generalized Stockwell transform" Journal of Pseudo-Differential Operators and Applications, 11(4): 1505 -1535 Impact Factor= 0.532
  • "Generalized wavelet method for solving fractional bioheat transfer model during hyperthermia treatment" International Journal of Wavelets, Multiresolution and Information Processing, 14(4): DOI No. doi.org/10.1142/S0219691320500 Impact Factor= 0.739
  • "Special affine wavelet transform and the corresponding Poisson summation formula" , International Journal of Wavelets, Multiresolution and Information Processing, 14(4): DOI No. doi.org/10.1142/S0219691320500 Impact Factor= 0.739
  • "An intertwining of curvelet and linear canonical transforms" Journal of Mathematics, 32(1): DOI No. doi.org/10.1155/2020/8814998 Impact Factor= 0.712
  • "Biorthogonal wavelets on the spectrum" Mathematical Methods in the Applied Sciences, 42(9): DOI No. doi.org/10.1002/mma.7046 Impact Factor= 1.626
  • "A convolution-based special affine wavelet transforms" Integral Transforms and Special Functions, 31(10): DOI No. doi.org/10.1080/10652469.2020. Impact Factor= 0.705
  • "Papoulis’ sampling theorem: revisited" Applied and Computational Harmonic Analysis, 64(10): 118 -142 {ISSN: 1063-5203} Impact Factor= 2.5

Books Published

  • "Wavelet Transforms and Their Applications". Springer, New York. {ISBN: 978-0-8176-8417-4} pp 553
  • "Lecture Notes on Wavelet Transforms". Birkhäuser, Springer, Boston, USA, 2017.. {ISBN: ISBN 978-3-319-59432-3, ISBN} pp 227
  • "Wavelet Transforms: Kith and Kin". CRC Press, Taylor & Francis, Boca Raton, USA. {ISBN: 978-1-032-34495-9} pp 502

Teaching:

DepartmentSubjectCourse TaughtSemester
South Campus MathematicsM.A/M.Sc MathematicsReal Analysis-I1
South Campus MathematicsM.A/M.Sc MathematicsReal Analysis-II2
South Campus MathematicsM.A/M.Sc MathematicsWavelet Theory3
South Campus MathematicsM.A/M.Sc MathematicsPartial differential Equations4

Research Projects Details:

Title of the ProjectFunding AgencyDatedAmount (in Rs.)
Wavelet Analysis on Local Fields of Positive CharacteristicNBHM16-10-20161,414,100.00
Fractional Wavelet Analysis: Theory and ApplicationsSERB-DST17-07-2018660,000.00
Numerical Solution of Fractional Differential and Integral Equations using Wavelet MethodsSERB-DST (MATRICS)15-05-20181,534,485.00
Fractional Wavelet Analysis: Theory and ApplicationsSERB-DST16-07-20221,500,000.00
Numerical Solution of Fractional Differential and Integral Equations Using Wavelet MethodsSERB-DST12-05-2022660,000.00