Educational Qualifications
| Degree / Certification | Institution | Year |
|---|---|---|
| Ph. D. | Department of Mathematics, University of Delhi | 1991 |
Faculty Profile
Prof. SHIV KUMAR KAUSHIK
PROFESSOR
MATHEMATICS
Career Profile & Administrative Assignments
| Category | Role / Designation | Department / Committee | Date From - To | Remarks |
|---|---|---|---|---|
| CAREER PROFILE | PROFESSOR | MATHEMATICS KIRORI MAL COLLEGE, DELHI | 18.Jul.2018 - Till date |
Other Profiles
AREAS OF INTEREST/ SPECIALIZATION
Theory of Bases
Theory of Wavelets
Theory of Frames
OTHERS
Vice Principal from 06.01.2021 to 05.01.2023
Research Guidance
| Year | Guide For | Title of Dissertation / Thesis | Scholar Name | Status |
|---|---|---|---|---|
| 2012 | Ph. D. | A Study of Atomic Decompositions in Banach Spaces | Sumit Kumar Sharma | Awarded |
| 2012 | Ph. D. | On Fusion Frames in Banach Spaces | Varinder Kumar | Awarded |
| 2009 | Ph. D. | \A STUDY OF GABOR FRAMES AND RELATED CONCEPTS IN BANACH SPACES | Virender | Awarded |
| 2016 | Ph. D. | NONLINEAR APPROXIMATIONS AND FRAMES IN BANACH SPACES | Khole Timothy Poumai | Awarded |
| 2015 | Ph. D. | CERTAIN TYPES OF FRAMES IN BANACH SPACES | Shalu Sharma | Awarded |
| 2013 | Ph. D. | FRAMES AND RELATED CONCEPTS IN BANACH SPACES | SHASHANK GOEL | Awarded |
| 2025 | Ph. D. | FRAMES AND ALLIED CONCEPTS IN BANACH SPACES | Sandeep Kumari | Awarded |
Research Projects
| Year | Project Title | Sponsoring Agency | Duration | Amount Sanctioned | Date of Sanction |
|---|---|---|---|---|---|
| 2018 | Applications of Frames and Wavelets in Quantum Information Theory | SERB-DST | 3 years | 660000 | 28.May.2018 |
Publications
| Category | Publication Name | Title | Name of Author | Reference / DOI Link | Publication Month-Year |
|---|---|---|---|---|---|
| JOURNAL PAPER (International) | Finite Gabor systems and uncertainty principle for block sliding discrete Fourier transform | Filomat | Poumai, Khole Timothy; Khanna, Nikhil; Kaushik, S. K (Joint Author) | NA | August 2023 |
| JOURNAL PAPER (International) | On generalized analytic wavelets | Iranian Journal of Science | Zothansanga, A., Khanna, N., Kaushik, S.K.; Kumar Dilip (Joint Author) | NA | March 2023 |
| JOURNAL PAPER (International) | Reconstruction of multidimensional digital signals | Int. J. Wavelets Multiresolut. Inf. Process | Mantry, Poonam; Poumai, Khole Timothy; Kaushik, S. K. (Corresponding Author) | NA | January 2023 |
| JOURNAL PAPER (International) | Trace class operators via OPV-frames | Filomat | Bhardwaj, Ruchi; Sharma, S. K.; Kaushik, S. K. (Corresponding Author) | NA | December 2021 |
| JOURNAL PAPER (International) | On optimal estimate of the block orthogonal greedy algorithm for g-frames | Numer. Funct. Anal. Optim. | Poumai, Khole Timothy; Deep, Sunder; Kaushik, S. K. (Corresponding Author) | NA | August 2021 |
| JOURNAL PAPER (International) | Periodized wavelet packets on bounded subsets of R | J. Contemp. Math. Anal. | Khanna, N.; Kaushik, S. K.; Pap, M. (Corresponding Author) | NA | October 2021 |
| JOURNAL PAPER (International) | An interplay between parameter (p,q)-Boas transform and linear canonical transform | J. Pseudo-Differ. Oper. Appl. | Khanna, Nikhil; Kaushik, S. K.; Djordjević, Slaviša V. (Joint Author) | NA | August 2021 |
| JOURNAL PAPER (International) | An improved one point quadrature formula | Numer. Funct. Anal. Optim. | Khanna, Nikhil; Arredondo, Juan H.; Kathuria, Leena; Kaushik, S. K. (Joint Author) | NA | March 2021 |
| JOURNAL PAPER (International) | Some properties of fractional Boas transforms of wavelets. | J. Math. | Khanna, Nikhil; Zothansanga, A.; Kaushik, S. K.; Kumar, Dilip (Joint Author) | NA | March 2021 |
| JOURNAL PAPER (International) | On metric controlled operator-valued frames and their applications | J. Math. Physics | Poumai, Khole Timothy; Khanna, Nikhil; Kaushik, S. K (Joint Author) | NA | May 2024 |
| JOURNAL PAPER (International) | On generalized analytic wavelets | Iran Journal of Science | Zothansanga, A.; Khanna, Nikhil; Kaushik, S. K.; Kumar, Dilip (Joint Author) | NA | March 2024 |
| JOURNAL PAPER (International) | Finite Gabor systems and uncertainty principle for block sliding discrete Fourier transform | Filomat | Poumai, Khole Timothy; Khanna, Nikhil; Kaushik, S. K (Joint Author) | NA | August 2023 |
| JOURNAL PAPER (International) | On metric controlled operator-valued frames and their applications | J. Math. Physics | Poumai, Khole Timothy; Khanna, Nikhil; Kaushik, S. K. (Joint Author) | 10.1063/5.0092633 | May 2024 |
| JOURNAL PAPER (International) | Further singular value and norm inequalities for matrices | Positivity | Al-Natoor, Ahmad; Kaushik, S. K.; Kittaneh, Fuad; Kumar, Amit (Joint Author) | 10.1007/s11117-025-01126-y | May 2025 |
| JOURNAL PAPER (International) | On metric controlled operator-valued frames and their applications | J. Math. Physics | Poumai, Khole Timothy; Khanna, Nikhil; Kaushik, S. K. (Joint Author) | NA | May 2024 |
| JOURNAL PAPER (National) | A note on Riesz bases in the framework of quaternionic Hilbert space | Poincare Journal of Analysis and Applications | Sharma, S. K.; Virender; Kaushik, S. K. (Joint Author) | NA | July 2024 |
| JOURNAL PAPER (International) | Analysis of finite Haar wavelet transform and its implementation | Math. Methods Appl. Sci. | Poumai, Khole Timothy; Khanna, Nikhil; Kaushik, S. K. (Joint Author) | NA | July 2024 |
| JOURNAL PAPER (International) | Frames as operator orbits for quaternionic Hilbert spaces | Jordan J. Math. Stat | Bhardwaj, Ruchi; Sharma, S. K.; Kaushik, S. K. (Joint Author) | NA | October 2024 |
| JOURNAL PAPER (International) | Toeplitz O-frames for operators in Banach spaces | Anal. Theory Appl | Shekhar, Chander; Kaushik, S. K. (Corresponding Author) | NA | December 2024 |
| JOURNAL PAPER (International) | Further singular value and norm inequalities for matrices | Positivity | Al-Natoor, Ahmad; Kaushik, S. K.; Kittaneh, Fuad; Kumar, Amit (Joint Author) | NA | May 2025 |
Books
| Category | Book Name | Name of Author | Title | ISSN / ISBN Number |
|---|---|---|---|---|
| BOOK (National) | An Introduction to Linear Algebra | Sumit Kumar Kaushik, Sumit Kumar Kaushik, Varinder Kumar and Virender (Joint Author) | Imprint Books | 978-81-932671-0-3 |
| BOOK (National) | An Introduction to Real Analysis | Pawan K. Jain and Shiv K. Kaushik (Joint Author) | S.Chand & Co. Ltd. | 81-219-2007-8 |
Faculty Achievements
| Year | Category of Achievement | Role | National / International | Name | Date From - To |
|---|---|---|---|---|---|
| 2017 | INVITED LECTURES/ RESOURCE PERSON/ PAPER PRESENTATIONS ATTENDED | PROFESSOR | International | International Conference on Mathematics and its Applications | 04.Sep.2017 - 08.Sep.2017 |