Selected publications

Article

Awonusika, Richard Olu and Taheri, Ali (2018) A spectral identity on Jacobi polynomials and its analytic implications. Canadian Mathematical Bulletin, 61. pp. 473-482. ISSN 0008-4395

Day, Stuart and Taheri, Ali (2018) Semigroup asymptotics, Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian. Rocky Mountain Journal of Mathematics, 48 (3). pp. 791-817. ISSN 0035-7596

Bond, Stuart and Taheri, Ali (2018) Operators of Laplace transform type and a new class of hypergeometric coefficients. Advances in Operator Theory. ISSN 2538-225X

Morris, Charles and Taheri, Ali (2018) Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the dirichlet energy. Journal of Elasticity. ISSN 0374-3535

Day, Stuart and Taheri, Ali (2018) Geodesics on SO(n) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem. Topological Methods in Nonlinear Analysis, 51 (2). pp. 637-662. ISSN 1230-3429

Morrison, George and Taheri, Ali (2018) An infinite scale of incompressible twisting solutions to the nonlinear elliptic system L [u; A, B] = ∇P and the discriminant ∆(h, g). Nonlinear Analysis Theory Methods & Applications, 173. pp. 209-219. ISSN 0362-546X

Morris, Charles and Taheri, Ali (2018) On Weyl’s asymptotics and remainder term for the orthogonal and unitary groups. Journal of Fourier Analysis and Applications, 24 (1). pp. 184-209. ISSN 1069-5869

Day, Stuart and Taheri, Ali (2017) A class of extremising sphere-valued maps with inherent maximal tori symmetries in SO(n). Boundary Value Problems, 2017 (187). ISSN 1687-2770

Morris, Charles and Taheri, Ali (2017) Annular rearrangements, incompressible axi-symmetric whirls and L1-local minimisers of the distortion energy. Nonlinear Differential Equations and Applications, 25 (2). ISSN 1021-9722

Day, Stuart and Taheri, Ali (2017) A formulation of the Jacobi coefficients clj(a,b)via Bell polynomials. Advances in Operator Theory, 2 (4). pp. 506-515. ISSN 2538-225X

Awonusika, Richard Olu and Taheri, Ali (2017) On Jacobi polynomials (P (α,β) k : α, β > −1) and Maclaurin spectral functions on rank one symmetric spaces. Journal of Analysis, 25 (1). pp. 139-166. ISSN 0971-3611

Awonusika, Richard Olu and Taheri, Ali (2017) On Gegenbauer polynomials and coefficients cℓj(ν) (1≤j≤ℓ, ν>−1/2). Results in Mathematics, 72 (3). pp. 1359-1367. ISSN 1422-6383

Morris, C and Taheri, A (2017) Twist maps as energy minimisers in homotopy classes: Symmetrisation and the coarea formula. Nonlinear Analysis: Theory, Methods and Applications, 152. pp. 250-275. ISSN 0362-546X

Shahrokhi-Dehkordi, Mohammad and Taheri, Ali (2013) Generalised twists as elastic energy extremals on annuli, Squaternions and lifting twist loops to the spinor groups. Analysis and Applications, 11 (2). pp. 124-150. ISSN 0219-5305

Taheri, Ali (2012) Spherical twists, SO(n) and the lifting of their twist paths to Spin(n) in low dimensions. Quarterly Journal of Mathematics, 63 (3). pp. 723-751. ISSN 0033-5606

Taheri, Ali (2011) Spherical twists, stationary loops and harmonic maps from generalised annuli into spheres. Nonlinear Differential Equations and Applications, 19 (1). pp. 79-95. ISSN 1021-9722

Taheri, Ali (2010) Homotopy classes of self-maps of annuli, generalised twists and spin degree. Archive for Rational Mechanics and Analysis, 197 (1). pp. 239-270. ISSN 0003-9527

Shahrokhi-Dehkordi, M S and Taheri, A (2010) Quasiconvexity and uniqueness of stationary points in a space of measure preserving maps. Journal of Convex Analysis, 17 (1). 069-079. ISSN 0944-6532.

Taheri, Ali (2009) Stationary twists and energy minimizers on a space of measure preserving maps. Nonlinear Analysis: Theory, Methods and Applications, 71 (11). pp. 5672-5687. ISSN 0362-546X

Shahrokhi-Dehkordi, M S and Taheri, A (2009) Polyconvexity, generalised twists and self-maps of annuli in the multi-dimensional calculus of variations. Advances in Calculus of Variations, 2 (4). pp. 361-396. ISSN 1864-8258

Shahrokhi-Dehkordi, M S and Taheri, A (2009) Generalised twists, SO(n) and the p-energy over a space of measure preserving maps. Annales de l'Institut Henri Poincaré (C) Analyse Non Lineaire, 26 (5). pp. 1897-1924. ISSN 0294-1449

Shahrokhi-Dehkordi, M S and Taheri, A (2009) Generalised twists, stationary loops and the Dirichlet energy over a space of measure preserving maps. Calculus of Variations and Partial Differential Equations, 35 (2). pp. 191-213. ISSN 0944-2669

Taheri, Ali (2009) Minimizing the Dirichlet energy over a space of measure preserving maps. Topological Methods in Nonlinear Analysis, 33 (1). pp. 179-204. ISSN 1230-3429

Taheri, Ali (2005) Local minimizers and quasiconvexity - the impact of topology. Archive for Rational Mechanics and Analysis, 176 (3). pp. 363-414. ISSN 0003-9527

Kristensen, Jan and Taheri, Ali (2003) Partial regularity of strong local minimizers in the multi-dimensional calculus of variations. Archive for Rational Mechanics and Analysis, 170 (1). pp. 63-89. ISSN 0003-9527

Taheri, Ali (2003) On Artin's braid groups and polyconvexity in the calculus of variations. Journal of the London Mathematical Society, 67 (3). pp. 752-768. ISSN 00246107

Taheri, Ali (2003) Quasiconvexity and uniqueness of stationary points in the multi-dimensional calculus of variation. Proceedings of the American Mathematical Society, 131 (10). 3101 - 3107. ISSN 0002-9939

Taheri, Ali (2002) Strong versus weak local minimizers for the perturbed Dirichlet functional. Calculus of Variations and Partial Differential Equations, 15 (2). pp. 215-235. ISSN 0944-2669

Ball, J M, Taheri, A and Winter, M (2002) Local minimizers in micromagnetics and related problems. Calculus of Variations and Partial Differential Equations, 14 (1). pp. 1-27. ISSN 0944-2669

Taheri, A (2002) On critical points of functionals with polyconvex integrands. Journal of Convex Analysis, 9 (1). pp. 55-72. ISSN 0944-6532

Taheri, Ali (2001) Sufficiency theorems for local minimizers of multiple integrals of the calculus of variations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 131 (1). pp. 155-184. ISSN 0308-2105

Book

Taheri, Ali (2015) Function spaces and partial differential equations: volume 1 - classical analysis. Oxford lecture series in mathematics and its applications, 1 . Oxford University Press, Oxford, UK. ISBN 9780198733133

Taheri, Ali (2015) Function spaces and partial differential equations: volume 2, contemporary analysis. Oxford lecture series in mathematics and its applications, 2 . Oxford University Press, Oxford, UK. ISBN 9780198733157