# School of Mathematics

## Prof Nicholas J Young

Research Professor

Pure Mathematics

### Contact details

Room: 10.11

Tel: +44 (0)113 34

Email: N.J.Young @ leeds.ac.uk

## Publications

**Agler J, Young NJ** Realization of functions on the symmetrized bidisc *Journal of Mathematical Analysis and Applications*, **453**, 227-240, 2017

DOI:10.1016/j.jmaa.2017.04.003

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**Agler J, Lykova ZA, Young NJ** Finite Blaschke products and the construction of rationalΓ-inner functions *Journal of Mathematical Analysis and Applications*, **447**, 1163-1196, 2017

DOI:10.1016/j.jmaa.2016.10.035

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**Brown DC, Lykova ZA, Young NJ** A rich structure related to the construction of analytic matrix functions *Journal of Functional Analysis*, **272**, 1704-1754, 2017

DOI:10.1016/j.jfa.2016.11.013

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**Agler J, Tully-Doyle R, Young NJ** Nevanlinna representations in several variables *Journal of Functional Analysis*, **270**, 3000-3046, 2016

DOI:10.1016/j.jfa.2016.02.004

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**Agler J, Lykova ZA, Young NJ** 3-extremal holomorphic maps and the symmetrised bidisc *Journal of Geometric Analysis*, **25**, 2060-2102, 2015

DOI:10.1007/s12220-014-9504-3

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**Agler J, Lykova ZA, Young NJ** The complex geometry of a domain related toμ-synthesis *Journal of Mathematical Analysis and Applications*, **422**, 508-543, 2015

DOI:10.1016/j.jmaa.2014.08.051

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**Agler J, Young NJ** Symmetric functions of two noncommuting variables *Journal of Functional Analysis*, **266**, 5709-5732, 2014

DOI:10.1016/j.jfa.2014.02.026

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**Agler J, McCarthy JE, Young NJ** Corrigendum to: Operator monotone functions and Löwner functions of several variables *Annals of Mathematics*, **180**, 403-405, 2014

DOI:10.4007/annals.2014.180.1.9

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**Agler J, McCarthy JE, Young NJ** On the representation of Holomorphic functions on Polyhedra *Michigan Mathematical Journal*, **62**, 675-689, 2013

DOI:10.1307/mmj/1387226159

**Agler J, Lykova ZA, Young NJ** A CASE OF mu-SYNTHESIS AS A QUADRATIC SEMIDEFINITE PROGRAM *SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, **51**, 2472-2508, 2013

DOI:10.1137/120873248

**Young NJ, Agler J, Tully-Doyle R** Boundary behavior of analytic functions of two variables via generalized models *Indagationes Mathematicae*, **23**, 995-1027, 2012

DOI:10.1016/j.indag.2012.07.003

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**Young NJ, Agler J, McCarthy JE** Operator monotone functions and Loewner functions of several variables *Annals of Mathematics*, 1783-1826, 2012

DOI:10.4007/annals.2012.176.3.7

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**Young NJ, Agler J, Lykova ZA** Extremal holomorphic maps and the symmetrised bidisc *Proceedings of the London Mathematical Society*, **106**, 781-818, 2012

DOI:10.1112/plms/pds049

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**Agler J, McCarthy JE, Young NJ** A Carathéodory theorem for the bidisk via Hilbert space methods *Mathematische Annalen*, **352**, 581-624, 2012

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**Agler J, Lykova ZA, Young NJ** The boundary Caratheodory-Fejer interpolation problem *J MATH ANAL APPL*, **382**, 645-662, 2011

DOI:10.1016/j.jmaa.2011.04.071

**Agler J, Young NJ** Boundary Nevanlinna-Pick interpolation via reduction and augmentation (vol 268, pg 791, 2011) *MATH Z*, **268**, 819-819, 2011

DOI:10.1007/s00209-010-0839-6

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**Agler J, McCarthy JE, Young NJ** Facial behaviour of analytic functions on the bidisc *B LOND MATH SOC*, **43**, 478-494, 2011

DOI:10.1112/blms/bdq115

**Agler J, Young NJ** Erratum to: Boundary Nevanlinna-Pick interpolation via reduction and augmentation(Math Z, 10.1007/s00209-010-0696-3) *Mathematische Zeitschrift*, **268**, 819-819, 2011

**Young NJ, Agler J, Lykova ZA** Pseudo-Taylor expansions and the Caratheodory-Fejer problem *J Math Analysis and Applications*, **386**, 308-318, 2011

DOI:10.1016/j.jmaa.2011.08.001

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**Agler J, Young NJ** The Magic Functions and Automorphisms of a Domain *COMPLEX ANAL OPER TH*, **2**, 383-404, 2008

DOI:10.1007/s11785-007-0039-5

**Young NJ** The automorphism group of the tetrablock *J LOND MATH SOC*, **77**, 757-770, 2008

DOI:10.1112/jlms/jdn010

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**Young NJ; Choi Y eds. ** *Surveys in Contemporary Mathematics* 2008

**Young NJ, Abouhajar AA, White MC** A Schwarz lemma for a domain related to mu-synthesis *The Journal of Geometric Analysis*, 1-34, 2007

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**Young NJ ** *Surveys in Geometry and Number Theory: Reports on contemporary Russian mathematics*. Cambridge University Press 2007

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**Huang HN, Marcantognini SAM, Young NJ** The spectral Carathéodory-Fejér problem *Integral Equations and Operator Theory*, **56**, 229-256, 2006

DOI:10.1007/s00020-005-1415-z

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**Agler J, Young NJ** The complex geodesics of the symmetrized bidisc *INT J MATH*, **17**, 375-391, 2006

**Huang HN, Young NJ, Marcantognini SAM** Chain rules for higher derivatives *The Mathematical Intelligencer*, **28**, 61-69, 2006

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**Agler J, Young NJ** The hyperbolic geometry of the symmetrized bidisc *The Journal of Geometric Analysis*, **14**, 375-403, 2004

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**Young NJ, Agler J** The two-by-two spectral Nevanlinna-Pick problem *Transactions of the American Mathematical Society*, **356**, 573-585, 2004

DOI:10.1090/S0002-9947-03-03083-6

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**Agler J, Young NJ** A model theory forΓ-contractions *Journal of Operator Theory*, **49**, 45-60, 2003

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**Young NJ, Yeh FB, Agler J** Realization of functions into the symmetrised bidisc In *Reproducing kernel spaces and applications*, **143**, 1-37, 2003

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**Agler J, Young NJ** A Schwarz lemma for the symmetrized bidisc *Bulletin of London Mathematical Society*, **33**, 175-186, 2001

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**Young NJ, Ogle DJ** The Parrott problem for singular values In *Proceedings of the 1998 IWOTA conference in Groningen*, **124**, 481-503, 2001

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**Young NJ** Some analysable instances of mu-synthesis In *Mathematical methods in in systems, optimization and control*

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**Agler J, Lykova ZA, Young NJ** Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc *Memoirs of the American Mathematical Society*

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**Young NJ** Foundations of free noncommutative function theory (Mathematical Surveys and Monographs 199) By Dmitry S. Kaliuzhnyi-Verbovetskyi and Victor Vinnikov *Bulletin of the London Mathematical Society*, bdv075-bdv075

DOI:10.1112/blms/bdv075

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