# Prof. Harkrishan Lal Vasudeva

### (Past Visiting Faculty)

**Research Area:**Functional Analysis

**Brief bio:**

Professor Harkrishan Lal Vasudeva had been associated with the Department of Mathematical Sciences at IISER Mohali from 2010 to 2016. Prior to joining IISER Mohali, he had been a professor of mathematics at Punjab University Chandigarh.

H. L. Vasudeva’s research interests are in harmonic analysis, functional analysis, linear and multilinear algebra, and operator theory. He is an author of several textbooks and over 60 research papers.

Selected books:

(1) Satish Shirali and H. L. Vasudeva, Measure and integration. Springer Undergraduate Mathematics Series. Springer, Cham, 2019.

(2) H. L. Vasudeva, Elements of Hilbert spaces and operator theory. With contributions from Satish Shirali. Springer, Singapore, 2017. xiii+522 pp.

(3) Satish Shirali and H. L. Vasudeva, Multivariable analysis. Springer-Verlag London, Ltd., London, 2011. x+394 pp.

(4) Satish Shirali and H. L. Vasudeva, Metric spaces. Springer-Verlag London, Ltd., London, 2006. viii+222 pp.

(5) Wolfgang Tutschke and H. L. Vasudeva, An introduction to complex analysis. Classical and modern approaches. Modern Analysis Series, 7. Chapman & Hall/CRC, Boca Raton, FL, 2005. xvi+460 pp.

Selected publications:

(1) Mandeep Singh, Jaspal Singh and H. L. Vasudeva, Inequalities for Hadamard product and unitarily invariant norms of matrices. Linear and Multilinear Algebra 48 (2001), no. 3, 247–262. (2) Mandeep Singh and H. L. Vasudeva, Monotone matrix functions of two variables. Linear Algebra Appl. 328 (2001), no. 1-3, 131–152.

(3) W. Tutschke and H. L. Vasudeva, A variational principle for generalized analytic functions. Complex Variables Theory Appl. 32 (1997), no. 3, 225–232.

(4) J. C. Parnami and H. L. Vasudeva, On the stability of almost convex functions. Proc. Amer. Math. Soc. 97 (1986), no. 1, 67–70.

(5) J. W. Baker, J. S. Pym and H. L. Vasudeva, On the ideal structure of the semigroup of closed subsets of a topological semigroup. Proc. Edinburgh Math. Soc. (2) 28 (1985), no. 3, 361–368.

(6) J. W. Baker, J. S. Pym, H. L. Vasudeva, Totally ordered measure spaces and their L_p algebras. Mathematika 29 (1982), no. 1, 42–54

(7) R. K. Dhar and H. L. Vasudeva, M(R,X) with order convolution. Math. Nachr. 105 (1982), 271–279.

(8) R. K. Dhar and H. L. Vasudeva, L_1(I,X) with order convolution. Proc. Amer. Math. Soc. 83 (1981), no. 3, 499–505.

(9) K. C. Chattopadhyay and H. L. Vasudeva, On the lattice of f-proximities. Proc. Amer. Math. Soc. 80 (1980), no. 3, 521–525.

(10) K. C. Chattopadhyay and H. L. Vasudeva, A characterisation of Riesz proximities. Proc. Amer. Math. Soc. 64 (1977), no. 1, 163–168.

(14) J. S. Pym and H. L. Vasudeva, An inequality between square norms on dual groups. Tohoku Math. J. (2) 26 (1974), 25–33.