selected publications academic article Battle, G. (2013). A gradient-projective basis of compactly supported wavelets in dimension n > 1. Open Mathematics. 11(7), 1317-1333. Battle, G. (2013). Momentum-Entire Wavelets with Discrete Rotational Symmetries in 2D. British Journal of Mathematics & Computer Science. 3(3), 315-329. Battle, G. A. (2012). DISJOINT FREQUENCY BRAND.................WAVELETS. ICASTOR Journal of Mathematical Sciences. 6(1), 1-24. Battle, G. (2004). Osiris wavelets and Set wavelets. Journal of Applied Mathematics. 2004(6), 495-528. Battle, G. (2000). Osiris Wavelets in Three Dimensions. ANNALS OF PHYSICS. 286(1), 23-107. Battle, G. (1997). Heisenberg Inequalities for Wavelet States. Applied and Computational Harmonic Analysis. 4(2), 119-146. Battle, G. (1996). Wavelets of FederbushLemari Type. Journal of Mathematical Analysis and Applications. 201(1), 274-296. Battle, G. (1995). Spherically Harmonic Huygen Wavelets. Applied and Computational Harmonic Analysis. 2(2), 154-159. Battle, G., Federbush, P., & Uhlig, P. (1994). Wavelets for Quantum Gravity and Divergence-Free Wavelets. Applied and Computational Harmonic Analysis. 1(3), 295-297. Battle, G., & Federbush, P. (1994). Space-Time Wavelet Basis for the Continuity Equation. Applied and Computational Harmonic Analysis. 1(3), 284-294. Battle, G. (1994). Wavelet Refinement of the Wilson Recursion Formula. Wavelet Analysis and Its Applications. 3(C), 87-118. Battle, G. (1993). KleinGordon propagation of Daubechies wavelets. Journal of Mathematical Physics. 34(3), 1095-1109. Battle, G., & Federbush, P. (1993). Divergence-free vector wavelets. Michigan Mathematical Journal. 40(1), 181-195. Battle, G. (1990). Ondelettes: The spinor QED3 connection. ANNALS OF PHYSICS. 201(1), 117-151. Battle, G. (1989). Phase space localization theorem for ondelettes. Journal of Mathematical Physics. 30(10), 2195-2196. Battle, G. (1988). A block spin construction of ondelettes Part II: The QFT connection. Communications in Mathematical Physics. 114(1), 93-102. Battle, G. (1988). Heisenberg proof of the Balian-Low theorem. Letters in Mathematical Physics. 15(2), 175-177. Battle, G. (1987). A block spin construction of ondelettes. Part I: Lemari functions. Communications in Mathematical Physics. 110(4), 601-615. Battle, G., & Federbush, P. (1987). Ondelettes and phase cell cluster expansions, a vindication. Communications in Mathematical Physics. 109(3), 417-419. Battle, G. A. (1985). Federbush mode decomposition of 42. Reports on Mathematical Physics. 22(2), 205-226. BATTLE, G. A. (1984). A NEW COMBINATORIC ESTIMATE FOR CLUSTER EXPANSIONS. Communications in Mathematical Physics. 94(1), 133-139. BATTLE, G. A., & FEDERBUSH, P. (1984). A NOTE ON CLUSTER EXPANSIONS, TREE GRAPH IDENTITIES, EXTRA 1/N FACTORS. Letters in Mathematical Physics. 8(1), 55-57. Battle, G. A., & Federbush, P. (1983). A phase cell cluster expansion for a hierarchical 34 model. Communications in Mathematical Physics. 88(2), 263-293. BATTLE, G. A. (1983). NON-GAUSSIAN A-POSITIVITY OF PHI-D2N FIELD-THEORIES. Journal of Functional Analysis. 51(3), 312-325. Battle, G. A., & Federbush, P. (1982). A phase cell cluster expansion for Euclidean field theories. ANNALS OF PHYSICS. 142(1), 95-139. BATTLE, G. A. (1982). PSEUDOSCALAR INTERACTION OF COUPLED QUANTUM-MECHANICAL OSCILLATORS WITH INDEPENDENT FERMI SYSTEMS. Journal of Mathematical Physics. 23(5), 760-779. Battle, G. A. (1981). Ceneralized analytic functions and the two-dimensional euclidean dirac operator. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 6(2), 121-151. BATTLE, G. A., & ROSEN, L. (1981). ON THE INFINITE VOLUME LIMIT OF THE STRONGLY COUPLED YUKAWA-2 MODEL. Journal of Mathematical Physics. 22(4), 770-776. BATTLE, G. A., & ROSEN, L. (1980). THE FKG INEQUALITY FOR THE YUKAWA2 QUANTUM FIELD-THEORY. Journal of Statistical Physics. 22(2), 123-192. Battle, G. A. (1978). Dynamics and phase transitions for a continuous system of quantum particles in a box. Journal of Mathematical Physics. 19(1), 39-51. Battle, G. A. (1977). Phase transitions for a continuous system of classical particles in a box. Communications in Mathematical Physics. 55(3), 299-315. book Battle, G. (1999). Wavelets and Renormalization. WORLD SCIENTIFIC. chapter Battle, G. (2009). A block spin construction of ondelettes1. part i: Lemarie functions. Fundamental Papers in Wavelet Theory. (pp. 245-259). Battle, G. (1992). Cardinal Spline Interpolation and the Block Spin Construction of Wavelets. Wavelets. (pp. 73-90). Elsevier.
teaching activities MATH151 Engineering Math I Instructor MATH221 Hnr-sev Variable Calculus Instructor MATH251 Engineering Math Iii Instructor MATH308 Differential Equations Instructor MATH309 Linear Alg For Diff Eq Instructor MATH311 Top In Applied Math I Instructor MATH401 Adv Engineering Math Instructor MATH409 Analysis On The Real Line Instructor MATH411 Math Probability Instructor MATH602 Meth Appl Part Diff Eq Instructor MATH603 Meth Appl Math Ii Instructor MATH685 Directed Studies Instructor
education and training Ph.D. in Mathematics, Duke University - (Durham, North Carolina, United States) 1977 M.S. in Physics, Murray State University - (Murray, Kentucky, United States) 1973 M.A. in Mathematics, Indiana University System - (Bloomington, Indiana, United States) 1970