Protochlorophyllide Spectral Forms

Structures, in Vivo and in Vitro Interconversion Possibilities and Wavelength-dependent Photochemical Reactions of Protochlorophyllide Forms

Purification of protochlorophyllide holochrome.

Phototransformable protochlorophyllide holochrome was prepared from etiolated bean leaves. The detergent Triton X-100 in the presence of glycerol and tricine-KOH buffer (pH 8) enhanced the extractability, specific activity, and phototransformability of the holochrome. Purification was achieved by polyethylene glycol-6000 precipitation and hydroxyl-apatite, DEAE-cellulose, and agarose chromatogr...

Applications of Spectral Theory of Automorphic Forms

on Γ\H, parametrized as λw = w(w−1). Haas listed the w-values. Haas thought he was solving the differential equation (∆ − λ)u = 0. Stark and Hejhal observed zeros of ζ and of an L-function on Haas’ list. This suggested an approach to proving the Riemann Hypothesis, since it seemed that zeros w of ζ might give eigenvalues λ = w(w − 1) of ∆. Since ∆ is a self-adjoint, nonpositive operator, these ...

Spectral sequences and parametric normal forms

Article history: Received 19 November 2010 Revised 10 September 2011 Available online 19 October 2011 MSC: 34C20 34A34 16W5 68U99

A Spectral Sequence Approach to Normal Forms