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. (1994). Space-Time Wavelet Basis for the Continuity Equation. Applied and Computational Harmonic Analysis. 1(3), 284-294. 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. (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 MATH172 Calculus 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 Advanced Calculus I 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