(University of Delhi)
University of Delhi, Delhi-110007
(Phone No. - 011-7121 9084 : Email - principal@kmc.du.ac.in)
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Kirori Mal College (University of Delhi) University of Delhi, Delhi-110007 (Phone No. - 011-7121 9084 : Email - principal@kmc.du.ac.in) |
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| Print Date : 03-12-2025 | ||||||||
| 1. Personal Profile | ||||||
| Title: Prof. First Name: SHIV Last Name: KUMAR KAUSHIK |
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| Designation: PROFESSOR Mobile No. ---------- | ||||||
| Phone No. (Office) 9810821498 Phone No. (Residence): ---------- | ||||||
| Email: skkaushik@kmc.du.ac.in Webpage: ---------- | ||||||
| Facebook: ---------- Twitter: ---------- | ||||||
| LinkedIn: ---------- Instagram: ---------- | ||||||
| Youtube: ---------- Research Gate Link: ---------- | ||||||
| Google Scholar Link: ---------- | ||||||
| Address: ---------- | ||||||
| 2. Educational Qualifications | ||
| Degree/ Certification | Institution | Year |
| Ph. D. | Department of Mathematics, University of Delhi | 1991 |
| 3. 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 | |
| 4. Other Profiles |
| Other Profile Name/ Description |
|---|
| AREAS OF INTEREST/ SPECIALIZATION Theory of Bases Theory of Wavelets Theory of Frames |
| OTHERS Vice Principal from 06.01.2021 to 05.01.2023 |
| 5. Research Guidance | ||||
| Year | Guide For | Title of the 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 |
| 6. Research Projects | |||||
| Year | Title of Project | Sponsorship 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 |
| 7. Publications | |||||
| Category | Publication Name | Title | Name of Author | Reference Link/ 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) |
August 2023 |
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| JOURNAL PAPER (International) |
On generalized analytic wavelets | Iranian Journal of Science | Zothansanga, A., Khanna, N., Kaushik, S.K.; Kumar Dilip (Joint Author) |
February 2023 |
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| JOURNAL PAPER (International) |
Reconstruction of multidimensional digital signals | Int. J. Wavelets Multiresolut. Inf. Process | Mantry, Poonam; Poumai, Khole Timothy; Kaushik, S. K. (Corresponding Author) |
January 2023 |
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| JOURNAL PAPER (International) |
Trace class operators via OPV-frames | Filomat | Bhardwaj, Ruchi; Sharma, S. K.; Kaushik, S. K. (Corresponding Author) |
December 2021 |
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| 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) |
August 2021 |
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| JOURNAL PAPER (International) |
Periodized wavelet packets on bounded subsets of R | J. Contemp. Math. Anal. | Khanna, N.; Kaushik, S. K.; Pap, M. (Corresponding Author) |
September 2021 |
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| 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) |
August 2021 |
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| 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) |
February 2021 |
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| JOURNAL PAPER (International) |
Some properties of fractional Boas transforms of wavelets. | J. Math. | Khanna, Nikhil; Zothansanga, A.; Kaushik, S. K.; Kumar, Dilip (Joint Author) |
March 2021 |
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| 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) |
May 2024 |
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| JOURNAL PAPER (International) |
On generalized analytic wavelets | Iran Journal of Science | Zothansanga, A.; Khanna, Nikhil; Kaushik, S. K.; Kumar, Dilip (Joint Author) |
February 2024 |
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| 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) |
August 2023 |
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| 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) |
May 2024 |
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| 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) |
July 2024 |
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| 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) |
June 2024 |
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| 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) |
September 2024 |
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| JOURNAL PAPER (International) |
Toeplitz O-frames for operators in Banach spaces | Anal. Theory Appl | Shekhar, Chander; Kaushik, S. K. (Corresponding Author) |
December 2024 |
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| JOURNAL PAPER (International) |
Further singular value and norm inequalities for matrices | Positivity | Al-Natoor, Ahmad; Kaushik, S. K.; Kittaneh, Fuad; Kumar, Amit (Joint Author) |
May 2025 |
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| 8. Books | ||||
| Category | Book Name | Title | Name of Author | 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 |
| 9. Faculty Achievements | |||||
| Year | Category of Achievement | Role | National/ International etc. | 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 |
| Prof. SHIV KUMAR KAUSHIK |