Title Prof. First Name LALIT Last Name KUMAR
Designation Professor
Department Department of Mathematics
Email
Webpage
Phone.no 27666658
Employement Info
Employee Type Nature Of Employment
Teaching Permanent
Educational Qualifications
Degree/Certification Name Institution Year of Completion
Ph.D. - Ph. D. University of Delhi
Teaching Experience (Within Institution)
Designation Duration
Professor 22-11-2021 To 01-09-2022 (9 months, 10 days)
Associate Professor 22-11-2018 To 21-11-2021 (2 years, 11 months, 30 days)
Assistant Professor 12-10-2009 To 21-11-2018 (9 years, 1 months, 9 days)
Research Supervision Overview
PhD Scholars Supervised PhD Degrees Awarded Theses Submitted
0 7 0
M.Phil Scholars Supervised M.Phil Degrees Awarded M.Phil Theses Submitted
0 8 0
Research Publications
Title of Article Type of Publication Name of Journal ISSN Journal Volume Year Link to Article DOI (Digital Object Identifier)
On matrix-valued Riesz bases over LCA groups Research Papers in Web of Science Listed Journals International Journal of Wavelets, Multiresolution and Information Process 2024 10.1142/S021969132450019X

Nonstationary matrix-valued multiresolution analysis from the extended affine group Research Papers in Web of Science Listed Journals Analysis Mathematica 0133-3852 50 2024 https://doi.org/10.1007/s10476-024-00004-1

On Hilbert-Schmidt frames for operators and Riesz bases Research Papers in Web of Science Listed Journals Journal of Mathematical Physics, Analysis, Geometry 1812-9471 19 2023 10.15407/mag19.03.799

On matrix-valued Gabor frames over locally compact abelian groups Research Papers in Web of Science Listed Journals Infinite Dimensional Analysis, Quantum Probability and Related Topics 0219-0257 26(4) 2023 10.1142/S0219025723500236

Matrix-valued nonstationary frames associated with the Weyl-Heisenberg group and extended affine group Research Papers in Web of Science Listed Journals International Journal of Wavelets, Multiresolution and Information Process 0219-6913 21 2023
Sums of matrix-valued wave packet frames in L^2(R^d, C^(s x r)) Research Papers in Peer Reviewed Journals Glasnik Matematicki 0017-095X 53
Frames with several generators associated with Weyl-Heisenberg group and extended affine group Research Papers in Peer Reviewed Journals Bulletin of the Malaysian Mathematical Sciences Society https://doi.org/10.1007/s40840-022-01337-6

Discrete vector-valued nonuniform Gabor frames Research Papers in Peer Reviewed Journals Bulletin des Sciences Mathematiques 0007-4497 178 https://doi.org/10.1016/j.bulsci.2022.103145 0007-4497

Duality for matrix-valued wave packet frames in L^2(R^d, C^(s x r)), Research Papers in Peer Reviewed Journals International Journal of Wavelets Multiresolution and Information Process 0219-6913 https://doi.org/10.1142/S0219691322500072

Construction of P^th -stage nonuniform discrete wavelet frames Research Papers in Peer Reviewed Journals Results in Mathematics https://doi.org/10.1007/s00025-021-01427-0

On vector-valued nonuniform multiresolution analysis Research Papers in Peer Reviewed Journals Applicable Analysis https://doi.org/10.1080/00036811.2021.1916479

Unitary extension principle for non-uniform wavelet frames in L^2(R) Research Papers in Peer Reviewed Journals Journal of Mathematical Physics, Analysis, Geometry 17 doi: https://doi.org/10.15407/mag17.01.079

On Matrix-valued wave packet frames in L^2(R^d, C^(s x r)) Research Papers in Peer Reviewed Journals Analysis and Mathematical Physics https://doi.org/10.1007/s13324-020-00417-9

On scaling functions of non-uniform multiresolution analysis in L^2(R) Research Papers in Peer Reviewed Journals International Journal of Wavelets Multiresolution and Information Process
On excess of retro Banach frames Research Papers in Peer Reviewed Journals Journal of Contemporary Mathematical Analysis 54 https://doi.org/10.3103/S1068362319030026

Operators related to the reconstruction property in Banach spaces Research Papers in Peer Reviewed Journals Results in Mathematics 74
On weaving frames Research Papers in Peer Reviewed Journals Houston Journal of Mathematics 44
Vector-valued (Super) weaving frames Research Papers in Peer Reviewed Journals Journal of Geometry and Physics 134 https://doi.org/10.1016/j.geomphys.2018.07.021

K-Matrix-valued wave packet frames in L^2(R^d, C^(s x r)) Research Papers in Peer Reviewed Journals Mathematical Physics, Analysis and Geometry
On WH-packets of matrix-valued wave packet frames in L^2(R^d, C^(s x r)) Research Papers in Peer Reviewed Journals International Journal of Wavelets Multiresolution and Information Process 0219-6913 16
On generalized weaving frames in Hilbert spaces Research Papers in Peer Reviewed Journals Rocky Mountain Journal of Mathematics 48
Weaving K-frames in Hilbert spaces Research Papers in Peer Reviewed Journals Results in Mathematics
Traces of Hadamard and Kronecker products of matrices Research Papers in Peer Reviewed Journals Mathematics for Applications
Frames in topological algebras Research Papers in Peer Reviewed Journals Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math.Phys. 79
Generalized weaving frames for operators in Hilbert spaces Research Papers in Peer Reviewed Journals Results in Mathematics 72
Weaving K-fusion frames in Hilbert spaces Research Papers in Peer Reviewed Journals Ganita 67
Extension of Bessel sequences to dual frames in Hilbert spaces Research Papers in Peer Reviewed Journals Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 79
On Continuous weaving frames Research Papers in Peer Reviewed Journals Advances in Pure and Applied Mathematics 8
Necessary and sufficient conditions for discrete wavelet frames in C^N Research Papers in Peer Reviewed Journals Journal of Geometry and Physics 117
On perturbation of frames in locally convex spaces Research Papers in Peer Reviewed Journals Jordan Journal of Mathematics and Statistics 9
Weaving properties of generalized continuous frames generated by an iterated function system Research Papers in Peer Reviewed Journals Journal of Geometry and Physics 110
Extension of Weyl-Heisenberg wave packet Bessel sequences to dual frames in L^2(R) Research Papers in Peer Reviewed Journals Journal of Classical Analysis 8
A note on discrete frames of translates in C^N Research Papers in Peer Reviewed Journals TWMS Journal of Applied and Engineering Mathematics 6
On exact frames in topological algebras Research Papers in Peer Reviewed Journals Palestine Journal of Mathematics 5
On perturbation of binary linear codes Research Papers in Peer Reviewed Journals Mathematics for Applications (Brno) 4
Banach frames generated by compact operators associated with a boundary value problem, Research Papers in Peer Reviewed Journals TWMS Journal of Pure and Applied Mathematics 6
Some types of convergence related to the reconstruction property in Banach spaces Research Papers in Peer Reviewed Journals Banach Journal of Mathematical Analysis 9 10.15352/bjma/09-2-17

Irregular Weyl-Heisenberg wave packet frames in L^2(R) Research Papers in Peer Reviewed Journals Bulletin des Sciences Mathematiques 139 10.1016/j.bulsci.2014.08.003

The reconstruction property in Banach spaces generated by matrices Research Papers in Peer Reviewed Journals Advances in Pure and Applied Mathematics 5 10.1515/apam-2014-0022

Frames of eigenfunctions associated with a boundary value problem Research Papers in Peer Reviewed Journals International Journal of Analysis 2014 10.1155/2014/590324

Reconstruction property and frames in Banach spaces Research Papers in Peer Reviewed Journals Palestine Journal of Mathematics 3
Some results concerning frames associated with measureable spaces Research Papers in Peer Reviewed Journals TWMS Journal of Pure and Applied Mathematics 4
On I-reconstruction property Research Papers in Peer Reviewed Journals Advances in Pure Mathematics 3 10.4236/apm.2013.33046

On Φ-Schauder frames Research Papers in Peer Reviewed Journals TWMS Journal of Applied and Engineering Mathematics 2
On retro Banach frames of type P Research Papers in Peer Reviewed Journals Azerbaijan .Journal of Mathematics 2
On stability of Banach frames Research Papers in Peer Reviewed Journals Bulletin of the Korean Mathematical Society 44 10.4134/BKMS.2007.44.1.073

On Banach frames Research Papers in Peer Reviewed Journals Indian Journal of Pure and Applied Mathematics 37
On perturbation of Banach frames Research Papers in Peer Reviewed Journals International Journal of Wavelets Multiresolution and Information Process 4
Bessel sequences and Banach frames in Banach spaces Research Papers in Peer Reviewed Journals Bulletin of the Calcutta Mathematical Society 98
Banach frames for conjugate Banach spaces Research Papers in Peer Reviewed Journals Zeitschrift fur Analysis und ihre Anwendungen 23
Nonstationary frames of translates and frames for the Weyl-Heisenberg group and the extended affine group Research Papers in Web of Science Listed Journals Journal of Physics A: Mathematical and Theoretical 1751-8121 56 10.1088/1751-8121/aceae1

Non-Journal Publications
Title of Publication Type of Publication Publisher Role ISBN Year Link to Publication Level
Construction of non-uniform Parseval wavelet frames for L^(R) via UEP Full Paper in Conference Proceedings/Other IEEE Co-Author International
Matrix-valued wave packet Bessel sequences and symmetric frames in L^2(R^d, C^(s x r)) Full Paper in Conference Proceedings/Other Poincare Journal of Analysis and Applications Co-Author International
On weaving fusion frames for Hilbert spaces Full Paper in Conference Proceedings/Other IEEE Co-Author International
On perturbation of local atoms for subspaces Full Paper in Conference Proceedings/Other Poincare Journal of Analysis and Applications Co-Author International
Research Projects
Project Title Project Type Year Of Sanction Outcome/Output Duration
Schauder Frames in Banach Spaces and Their Applications Minor 2021 29-10-2021 To 15-03-2022 (4 months, 14 days)
Talk Poster Presented
Name of the Activity Role Date of Activity
Workshop on Applied Matrix Positivity Invited Talk 19-07-2021
International Conference on Analysis, Algebra, Combinatorics and their Applications Invited Talk 20-01-2020
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