Lalit Kumar Vashisht

About

My academic journey starts in Harewali, a beautiful village in Delhi. My graduation with major subjects in mathematics, physics, and chemistry was from Kirorimal College, University of Delhi I completed my Master's Degree in Mathematics at Kurukshetra University, Kurukshetra, almost 20 years ago. I started my career in research in frame theory at the age of 25 at the Department of Mathematics, University of Delhi. At that time, ''frame Theory'' was a new area of research in our institute. After five years of research in frames for Banach spaces, I received a Ph.D. in Mathematics from the University of Delhi. My research interests include Frames for Banach spaces, Hilbert frames, Wavelet analysis, Fourier analysis, and functional analysis. At present, I am full Professor of Mathematics, Department of Mathematics, University of Delhi.

Employment

• University of Delhi Professor
  2021 - Present

Education

• University of Delhi Ph.D.

Projects & Funding

Projects & funding information is unavailable.

Publications (53)

• Operators for Matrix-Valued Riesz Bases Over LCA Groups
  Results in Mathematics 2025 DOI: 10.1007/s00025-025-02541-z
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• Frames for source recovery from non-uniform dynamical samples
  International Journal of Wavelets, Multiresolution and Information Processing 2025 DOI: 10.1142/s0219691325500456
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• Perturbation of Frames from the Weyl–Heisenberg Group and the Extended Affine Group
  Complex Analysis and Operator Theory 2025 DOI: 10.1007/s11785-025-01675-w
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• A note on matrix-valued orthonormal bases over LCA groups
  Infinite Dimensional Analysis, Quantum Probability and Related Topics 2024 DOI: 10.1142/s0219025724500061
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• On matrix-valued Riesz bases over LCA groups
  International Journal of Wavelets, Multiresolution and Information Processing 2024 DOI: 10.1142/s021969132450019x
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• Nonstationary matrix-valued multiresolution analysis from the extended affine group
  Analysis Mathematica 2024 DOI: 10.1007/s10476-024-00004-1
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• On Hilbert–Schmidt Frames for Operators and Riesz Bases
  Journal of Mathematical Physics, Analysis, Geometry 2023
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• On matrix-valued Gabor frames over locally compact abelian groups
  Infinite Dimensional Analysis, Quantum Probability and Related Topics 2023 DOI: 10.1142/s0219025723500236
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• Nonstationary frames of translates and frames from the Weyl–Heisenberg group and the extended affine group
  Journal of Physics A: Mathematical and Theoretical 2023 DOI: 10.1088/1751-8121/aceae1
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• Matrix-valued nonstationary frames associated with the Weyl-Heisenberg group and the extended affine group
  International Journal of Wavelets, Multiresolution and Information Processing 2023 DOI: 10.1142/s0219691323500224
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