Publications

1. 1. Aniruddha Samanta, Deepshikha, Kinkar Chandra Das, Unifying adjacency, Laplacian, and signless Laplacian theories, Ars Mathematica Contemporanea 24(9)(2024), 1-27. Available at: https://doi.org/10.26493/1855-3974.3163.6hw

1. 2. Deepshikha and Aniruddha Samanta, Averaged numerically optimal dual frames for erasures, Linear and Multilinear Algebra, 71 (2) (2023), 1-16. Available at https://doi.org/10.1080/03081087.2022.2030658

1. 3. Deepshikha, Equivalence relations and distances between generalized frames, Journal of Pseudo-Differential Operators and Applications, 13 (47) (2022), 1-19.  Available at https://doi.org/10.1007/s11868-022-00479-2

1. 4. Deepshikha and Aniruddha Samanta, On weaving generalized frames and generalized Riesz bases, Bulletin of the Malaysian Mathematical Sciences Society, 45(2021), 361-378. Available at https://doi.org/10.1007/s40840-021-01193-w 

1. 5. Deepshikha and Jyoti, A note on discrete wave packet frames in ℂ𝑁, International Journal of Wavelets, Multiresolution and Information Processing, 19(4) (2021), 1-9. Available at https://doi.org/10.1142/S0219691321500065 

1. 6.  Jyoti, Deepshikha, Lalit K. Vashisht, and Geetika Verma, Sums of matrix-valued wave packet frames in 𝐿2(ℝ𝑑,ℂ𝑠×𝑟), Glasnik Matematicki, 53(1) (2018), 153-177. Available at https://doi.org/10.1007/s13324-020-00417-9 

1. 7. Deepshikha and Lalit K. Vashisht, Vector-valued (super) weaving frames, Journal of Geometry and Physics, 134(2018), 48-57. Available at https://doi.org/10.1016/j.geomphys.2018.07.021 

1. 8. Deepshikha and Lalit K. Vashisht, On weaving frames, Houston Journal of Mathematics, 44(3) (2018), 887-915. Available at https://www.math.uh.edu/~hjm/Vol44-3.html 

1. 9. Lalit K. Vashisht, Saakshi Garg, Deepshikha, and P. K. Das, On generalized weaving frames in Hilbert spaces, Rocky Mountain Journal of Mathematics, 48(2) (2018), 661-685. Available at https://doi.org/10.1216/RMJ-2018-48-2-661 

1. 10. Deepshikha and Lalit K. Vashisht, Weaving K-frames in Hilbert spaces, Results in Mathematics, 73(2) (2018), Art 81, 1-20. Available at https://doi.org/10.1007/s00025-018-0843-4 

1. 11. Deepshikha, Lalit K. Vashisht, and Geetika Verma, Generalized weaving frames for operators in Hilbert spaces, Results in Mathematics, 72(3) (2017), 1369-1391. Available at https://doi.org/10.1007/s00025-017-0704-6 

1. 12. Deepshikha and Lalit K. Vashisht, Extension of Bessel sequences to dual frames in Hilbert spaces, UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 79(2) (2017), 71-82. Available at https://www.scientificbulletin.upb.ro/rev_docs_arhiva/fulld82_710090.pdf 

1. 13. Deepshikha and Lalit K. Vashisht, Necessary and Sufficient Conditions for Discrete Wavelet Frames in ℂ𝑁, Journal of Geometry and Physics, 117(2017), 134-143. Available at https://doi.org/10.1016/j.geomphys.2017.03.005 

1. 14. Lalit K. Vashisht and Deepshikha, On continuous weaving frames, Advances in Pure and Applied Mathematics, 8(1) (2017), 15-31. Available at https://doi.org/10.1515/apam-2015-0077 

1. 15. Deepshikha, Saakshi Garg, Lalit K. Vashisht, and Geetika Verma, On weaving fusion frames for Hilbert spaces, In: Proceedings of Sampling Theory and Applications (SampTA) (2017), 381-385. Available at https://doi.org/10.1109/SAMPTA.2017.802436 

1. 16. Lalit K. Vashisht and Deepshikha, Weaving properties of generalized continuous frames generated by an iterated function system, Journal of Geometry and Physics, 110(2016), 282-295. Available at https://doi.org/10.1016/j.geomphys.2016.08.009 

1. 17. Deepshikha and Lalit K. Vashisht, A note on discrete frames of translates in ℂ𝑁, TWMS Journal of Applied and Engineering Mathematics, 6(1) (2016), 143-149. Available at https://jaem.isikun.edu.tr/web/images/articles/vol.6.no.1/16.pdf 

1. 18.  Deepshikha and Lalit K. Vashisht, Extension of Weyl-Heisenberg wave packet Bessel sequences to dual frames in 𝐿2(ℝ), Journal of Classical Analysis, 8 (2) (2016), 131-145. Available at https://doi.org/10.7153/jca-08-12 

1. 19.  Deepshikha and L. K. Vashisht, On perturbation of local atoms for subspaces, In: Proceeding of the International Workshop on Wavelets, Frames and Applications (IWWFA) II- 2014, Poincare Journal of Analysis and Applications (Special Issue), 2 (2015), 129-137. Available at https://www.pjaa.poincarepublishers.com/pjaa/wp-content/uploads/2014/01/FP-PJAA-152_10.pdf