Hindustan Book Agency 2013; 1366 pp; hardcover ISBN13: 9789380250571 List Price: US$165 Member Price: US$132 Order Code: HIN/65
 Volume 2: Differential Equations and Representation Theory, edited by Donald G. Babbitt, Ramesh Gangolli, and K. R. Parthasarathy; 648 pages Volume 3: Physics, Analysis, and Reflections and Reviews, edited by Enrico G. Beltrametti, Gianni Cassinelli, Rita Fioresi, Anatoly N. Kochubei, and K. R. Parthasarathy; 718 pages These two volumes constitute a selection of papers of V. S. Varadarajan. An earlier volume of Selected Papers was published by the American Mathematical Society and International Press in 1998. The papers reproduced in these two volumes include not only the articles published since 1998 but also some important papers published earlier which were not included in the original Selected Papers for reasons of space and other limitations. The current volumes contain the papers on fundamental questions of individual and families of meromorphic differential equations that are treated by a new group theoretic and functional approach; papers on representation theory of Lie groups; papers on foundations of physics, supersymmetry, and Padic aspects of quantum physical theories; papers on analysis, especially oscillatory integrals, on semisimple lie groups, their conjugacy classes, and their flag manifolds; and finally, several review articles, both personal and mathematical, on a number of the above topics. The volumes are divided into sections by topics and in each section the editors have included a brief summary of the contents of the section, put the papers in their historical context and, in the process, raised interesting new problems. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians. Table of Contents Contents for Volume 2: Differential Equations and Representation Theory Local Reduction Theory and Moduli  Donald G. Babbitt, Varadarajan and Differential Equations
 with Donald G. Babbitt, Formal reduction theory of meromorphic differential equations: A group theoretic view, Pacific J. Math. 109 (1983), 180
 with Donald G. Babbitt, Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations, Mem. Amer. Math. Soc. 55 (1985), 1147
 with Donald G. Babbitt, Some remarks on the asymptotic existence theorem for meromorphic differential equations, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 36 (1989), 247262
 with Donald G. Babbitt, Local moduli for meromorphic differential equations, Astérisque No. 169170, Société Mathématique de France, (1989), 1217
 Letter from Pierre Deligne, Documents Mathematiques 5 (2007), 4751
Representation Theory  V. S Varadarajan and Representation Theory, by Ramesh Gangolli
 with Johan A. C. Kolk, On the transverse symbol of vectorial distributions and some applications to harmonic analysis, Indag. Math. 7 (1996), 6796
 HarishChandra, his work, and its legacy, in The Mathematical Legacy of HarishChandra (Robert S. Doran and V. S. Varadarajan, Editors), Proc. Sympos. Pure Math. 68, Amer. Math. Soc. 2000, 136
 George Mackey and his work on representation theory and foundations of physics, in Group Representations, Ergodic Theory, and Mathematical Physics: A Tribute to George W. Mackey (Robert S. Doran, Calvin C. Moore, and Robert J. Zimmer, Editors), Contemp. Math. 449, Amer. Math. Soc., 2008, 417446
 with Rahul N. Fernandez, Matrix Airy functions for compact Lie groups, Internat. J. Math. 20 (2009), 945977
 with Jonathan Rogawski, Some comments on Weyl's complete reducibility theorem, Pacific J. Math. 260 (2012), 687694
Contents for Volume 3: Physics/Analysis/Reviews and Reflections Foundations of Quantum Theory  Enrico G. Beltrametti and Gianni Cassinelli, Varadarajan and the Department of Physics of the University of Genoa
 with P. Truini, Quantization of reductive Lie algebras: Construction and universality, Rev. Math. Phys. 5 (1993), 363415
 Quantum theory and geometry: Sixty years after von Neumann, Internat. J. Theoret. Phys. 32 (1993), 18151834
 with Richard Arens, On the concept of EinsteinPodolskyRosen states and their structure, J. Math. Phys. 41 (2000), 638651
 with E. G. Beltrametti and S. Bugajski, Extensions of convexity models, J. Math. Phys. 41 (2000), 25002514
 Vector bundles and connections in physics and mathematics: Some historical remarks, in A Tribute to C. S. Seshadri (V. Laksmibai, V. Balaji, V. B. Mehta, K. R. Nagarajan, and K. Paranjpe, Editors), Hindustan Book Agency, 2003, 502541
Supersymmetry  V. S. Varadarajan and Supersymmetry by Rita Fioresi
 with R. D'Auria, S. Ferrara, and M. A. Lledó, Spinor algebras, J. Geom. Phys. 40 (2001), 101129
 with C. Carmeli, G. Cassinelli, and A. Toigo, Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles, Comm. Math. Phys. 263 (2006), 217258
 with C. Carmeli, G. Cassinelli, and A. Toigo, Erratum to: Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles, Comm. Math. Phys. 307 (2011), 565566
 with R. Fioresi and M. A. Lledó, The Minkowski and conformal superspaces, J. Math. Phys. 48 (2007), 127
 Introduction, in Supersymmetry in Mathematics and Physics, Lecture Notes in Math. 2027, Springer, 2011, 115
Padic Physics  V. S. Varadarajan and \(p\)Adic mathematical physics, by Anatoly N. Kochubei
 Nonarchimedean models for spacetime, Modern Phys. Lett. A16 (2001), 387395
 with Trond Digernes and D. E. Weisbart, Schrödinger operators on local fields: Selfadjointness and path integral representations for propagators, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11 (2008), 495512
 with Rahul N. Fernandez and David Weisbart, Airy functions over local fields, Lett. Math. Phys. 88 (2009), 187206
 Multipliers for the symmetry groups of padic spacetime, pAdic Numbers Ultrametric Anal. Appl. 1 (2009), 6978
 with Jukka Virtanen, Structure, classification, and conformal symmetry, of elementary particles over nonArchimedean spacetime, pAdic Numbers Ultrametric Anal. Appl. 2 (2010), 157174
 Some problems involving Airy functions, Commun. Stoch. Anal. 6 (2012), 6568
Analysis  V. S. Varadarajan, The papers in Analysis/Probability
 with J. J. Duistermaat and J. A. C. Kolk, Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups, Compositio Math. 49 (1983), 309398
 The method of stationary phase and applications to geometry and analysis on Lie groups, in Algebraic and Analytic Methods in Representation Theory, Perspect. Math. 17, Academic Press, 1997, 167242
 Some remarks on the analytic proof of the prime number theorem, Nieuw. Arch. Wisk. (4) 16 (1998), 153160
 Some remarks on the continuity of random fields on Lipschitz spaces, Expo. Math. 18 (2000), 177196
 with David Weisbart, Convergence of quantum systems on grids, J. Math. Anal. Appl. 336 (2007), 608624.
 Euler and his work on infinite series, Bull. Amer. Math. Soc. 44 (2007), 515539
 with Trond. Digernes, Notes on Euler's work on divergent factorial series and their associated continued fractions, Indian J. Pure Appl. Math. 41 (2010), 3966
Reviews and Reflections  Henry Abel Dye, Pacific J. Math. 137 (1989), iiiv
 Richard Friederich Arens (19192000), Pacific J. Math. 195 (2000), 259260
 HarishChandra memorial talk, in The Mathematical Legacy of HarishChandra, Proc. Sympos. Pure Math. 68 (Robert S. Doran and V. S. Varadarajan, Editors), Amer. Math. Soc., 2000, 5557
 Niels Vigand Pedersen (19491996), Notices Amer. Math. Soc. 45 (1998), 7478
 Moshe Flato Remembered (19371998), in Reflections on Quanta, Symmetries, and Supersymmetries, Springer, 2011, 5355
 Book Review: Andri Weil: The apprenticeship of a mathematician [Birkhuser, Basel, 1992]. Notices Amer. Math. Soc. 46 (1999), 448456
 Some mathematical reminiscences, Special issue dedicated to Daniel W. Stroock and Srinivasa S. R. Varadhan on the occasion of their 60th birthday. Methods Appl. Anal. 9 (2002), no. 3, vxviii
 Mackey, HarishChandra, and Representation theory, in Reflections on quanta, symmetries, and supersymmetries, Springer, 2011, 207236
