Shubham Bais - Research

Publications :

S. R. Bais, Image characterization under the Schr\"{o}dinger propagator for the Grushin operator, Monatsh. Math. (2026). (Article Link)

S. R. Bais, Analyticity of the Schr\"{o}dinger propagator for the affine Laplacian and its applications to sampling and interpolating sequences, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 119, paper no. 93 (2025). (Article Link)

S. R. Bais, C*-algebras of analytic functions, Proc. Amer. Math. Soc. 153 (7), 2907 - 2917 (2025). (Article Link)

S. R. Bais and D. Venku Naidu, Quasi-radial operators on the Fock space and C*-algebras of entire functions. Linear and Multilinear Algebra 73 (7), 1486-1507 (2025). (Article Link)

S. R. Bais, P. Mohan and D. Venku Naidu, Characterization of quasi-parabolic operators and their integral representation, Adv. Oper. Theory 10 (1), paper no. 21 (2025). (Article Link)

P. S. Patra, S. R. Bais and D. Venku Naidu, Application of Bargmann transform in the study of affine heat kernel transform, J. Pseudo-Differ. Oper. Appl. 15 (2), paper no. 38 (2024). (Article Link)

S. R. Bais, P. Mohan and D. Venku Naidu, Characterization of translation and modulation invariant Hilbert space of tempered distributions, Arch. Math. (Basel) 122 (4), 429-436 (2024). (Article Link)

S. R. Bais and D. Venku Naidu, Integral representation of angular operators on the Bergman space over the upper half-plane, New York J. Math., 30 (4), 42-57 (2024). (Article Link)

S. R. Bais, D. Venku Naidu and P Mohan, Integral representation of vertical operators on the Bergman space over the upper half-plane, C. R. Math. Acad. Sci. Paris, 361, 1593-1604 (2023). (Article Link)

S. R. Bais and D. Venku Naidu, A note on C*-algebra of Toeplitz operators with L-invariant symbols on the Fock space, Complex Anal. Oper. Theory 17 (6), paper No. 99 (2023). (Article Link)

S. R. Bais and D. Venku Naidu, L-invariant and radial singular integral operators on the Fock space, J. Pseudo-Differ. Oper. Appl. 14 (1), paper no. 11 (2023). (Article Link)

S. R. Bais and D. Venku Naidu, Study of twisted Bargmann transform via Bargmann transform, Forum Math. 33 (6), 1659–1670 (2021). (Article Link)

Communicated :

Integral representation of translation-invariant operators on reproducing kernel Hilbert spaces (with Egor Maximenko and D. Venku Naidu). (Article Link)

Boundedness of certain classes of integral operators on the weighted Bergman space over the upper half-plane (with D. Venku Naidu).

Boundedness of integral operators on Hardy-Sobolev spaces and $C^*$-algebras of analytic functions.

Talks :

``Integral representation of translation-invariant operators on reproducing kernel Hilbert spaces'', Geometric and Functional Analysis Seminar, Department of Mathematics, University of Helsinki, Finland, May 20, 2025.

``Integral operators and associated C*-algebras'', Conference on Operator Algebras and Related Topics-2025 (COART@IITB - 2025), Department of Mathematics, Indian Institute of Technology Bombay, India, February 24-28, 2025.

``C*- algebras of analytic functions'', Joint 6th Operator Theory Workshop and Orthogonal Polynomials, Special Functions, Operator Theory, and Applications (OPSFOTA) Meeting, University of Reading, United Kingdom, August 19-21, 2024.

``Integral representation of angular operators on the Bergman space over the upper half-plane'', International Workshop on Operator Theory and its Applications (IWOTA - 2024), University of Kent, Canterbury, United Kingdom, August 12-16, 2024.

``C*-algebras of analytic functions'', A conference celebrating International Women in Mathematics Day, The Institute of Mathematical Sciences, Chennai, Tamil Nadu, India, May 10-12, 2024.

``C*-algebras of analytic functions'', Seminario de Teoría de Operadores de Toeplitz, Departamento de Matemáticas, Cinvestav-IPN, Mexico, April 10, 2024.

``Integral operators on the Fock space'', the Workshop on Harmonic Analysis: Fourier Multipliers and Related Topics, Harish Chandra Research Institute, Allahabad, India, February 19-March 02, 2024.

``Boundedness of a class of integral operators on the Bergman space over the upper half-plane'', 18th Discussion Meeting in Harmonic Analysis (DMHA 18), Department Mathematics, Indian Institute of Technology Guwahati, Assam, India, December 18-21, 2023.

``Integral operators of convolution type on the Bergman space over the upper half-plane'', International Conference on Spectral and Approximation Theory (ICSAT-2023), Cochin University of Science and Technology, Kerala, India, November 27-30, 2023.

``Vertical operators on the Bergman space over the upper half-plane: Integral representation'', Seminario de Teoría de Operadores de Toeplitz, Departamento de Matemáticas, Cinvestav-IPN, Mexico, November 08, 2023

Two Lectures on ``Translation invariant operators in $L^p$-spaces'', IIT Hyderabad, India, May 10 & May 24, 2023

``Integral representation of vertical operators on the Bergman space over the upper half-plane'', KVRSS Research Awards (2022-23), Dr. K. V. Rao Scientific Society, 84, Siddhartha Nagar, Vengal Rao Nagar, P.O., Hyderabad Telangana, India, May 27, 2023.

``L-invariant and radial singular integral operators on the Fock space'', International Workshop on Operator Theory and it's Applications (IWOTA - 2022), Krakow, Poland, September 06-10, 2022.

``Boundedness criterion for a class of integral operators on the Fock space'', International Conference on Analysis, Inverse Problems and Applications (ICAIPA - 2022), IIT Madras, India, July 18-21, 2022.

Workshops/Conferences attended :

Conference on Operator Algebras and Related Topics-2025 (COART@IITB - 2025), Department of Mathematics, Indian Institute of Technology Bombay, India, February 24-28, 2025.

A conference on ``Noncommutative Mathematics and Applications (NCMA)'', Indian Statistical Institute, Bangalore, October 24-26, 2024.

Joint 6th Operator Theory Workshop and Orthogonal Polynomials, Special Functions, Operator Theory, and Applications (OPSFOTA) Meeting, University of Reading, United Kingdom, August 19-21, 2024.

International Workshop on Operator Theory and Applications (IWOTA 2024), University of Kent, Canterbury, United Kingdom, August 12-16, 2024.

.A conference celebrating International Women in Mathematics Day, The Institute of Mathematical Sciences, Chennai, Tamil Nadu, India, May 10-12, 2024.

Workshop on ``Harmonic Analysis: Fourier Multipliers and Related Topics'', Harish Chandra Research Institute, Allahabad, India, February 19-March 02, 2024.

38th Annual Conferene of the Ramanujan Mathematical Society (RMS 2023), Department of Mathematics, IIT Guwahati, Assam, India, December 22-24, 2023.

18th Discussion Meeting in Harmonic Analysis (DMHA 18), Department of Mathematics, IIT Guwahati, Assam, India, December 18-21, 2023.

NCM workshop on ``Representation Theory and Harmonic Analysis'', Department of Mathematics, IIT Guwahati, Assam, India, December 11-16, 2023.

International Conference on Spectral and Approximation Theory (ICSAT-2023), Department of Mathematics, Cochin University of Science And Technology, Kerala, India, November 27-30, 2023.

International Workshop on Operator Theory and Applications (IWOTA 2022), Krakow, Poland, September 06-10, 2022.

International Conference on Analysis, Inverse Problems and Applications (ICAIPA 2022), IIT Madras, July 18-21, 2022.

Workshop on Harmonic Analysis and related topics, Celebrating Michael Lacey's birthday, Centre de Recerca Matemàtica, Barcelona, Catalunya, Spain, June 13-17, 2022. (Online)

Symposium on Algebra and Number theory on National Mathematics Day, Department of Mathematics, IIT Hyderabad, India, December 22, 2021.

Webinars on Operator Theory and Operator Algebras, ISI Kolkata, 2021 (Online).

Focus Program on Analytic Function Spaces and their Applications, The Fields Institute for Research in Mathematical Sciences, Canada, July 1 - December 31, 2021 (Online)

NCM Workshop in Harmonic Analysis, Department of Mathematics, IISER Mohali, India, December 07-12, 2020 (Online)

16th Discussion Meeting in Harmonic Analysis, Department of Mathematics, IISER Bhopal, India, December 16-19, 2019.

NCM Workshop in Harmonic Analysis, Department of Mathematics, IISER Bhopal, India, December 10-14, 2019.

Symposium on Geometry of Banach space, Department of Mathematics, IIT Hyderabad, India, December 01-02, 2019.

Workshop on Advanced Functional Analysis and its Applications, IIT Hyderabad, India, November 25-29, 2019.

NCMW - Operator Algebras, Quantum Groups and Noncommutative Geometry, Department of Mathematics, IISER Bhopal, India, July 1-13, 2019.

Annual Foundation School - I, Department of Mathematics, IISER Bhopal, India, December 03-29, 2018.

National Conference on Algebra and it's Applications, Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University, India, January 27-February 01, 2016.

Visits :

Visited Prof. Jari Taskinen at the University of Helsinki during May 05, 2025 to June 09, 2025.

Visited Prof. Jani Virtanen at the University of Reading during August 17, 2024 to August 23, 2024.

Visited Dr. D. Venku Naidu at IIT Hyderabad during April 18, 2024 to May 08, 2024.

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