41. The classical candidates are the Hilbert modular forms and Siegel modular forms. 42. The Hilbert space of physical states is a unitary Hamiltonian be nonnegative. 43. This language translates into convergence properties of Hilbert space operators. 44. Hilbert operates on a semester schedule with summer sessions available.45. David Hilbert spent years trying to solve it without any real success. 46. Mathematics faculty included David Hilbert , Felix Klein, and Hermann Minkowski. 47. Separable Hilbert space represent quantum propositions and behave as an orthocomplemented lattice. 48. For the finite-dimensional complex Hilbert space, one writes 49. For Hilbert 's 23 questions, see Hilbert's problems. 50. For Hilbert's 23 questions, see Hilbert 's problems.