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In this talk, we discuss “Hecke summation” for the classical Eisenstein series E_k in an adelic setting. The connection between classical and adelic functions is made by explicit calculations of local...
Let G be a classical complex Lie group, P any parabolic subgroup of G, and X = G/P the corresponding homogeneous space, which parametrizes (isotropic) partial flags of subspaces of a fix...
We propose a theory of double Schubert polynomials Pw(X;Y ) for the Lie types B, C, D which naturally extends the family of Lascoux and Schutzen Ä berger in type A. These polynomials satisfy po...
We give sufficient conditions for a tempered distribution to belong to certain modulation spaces by showing embeddings of some Besov-TriebelLizorkin spaces into modulation spaces. As aconsequence we h...
We study the problem of estimating  from data Y  N(; 2 ) under squared-error loss. We de ne three new scalar minimax problems in which the risk is weighted by the size of . Simple thresholding...
The full unitary dual for the complex classical groups viewed as real Lie groups is computed in [B1]. This was close to 20 years ago. Since then there have been many advances, but the general proble...
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
In this paper, the quantum logical ‘or’ is analyzed from a physical perspective. We show that it is the existence of EPR-like correlation states for the quantum mechanical entity under consideration...
Theorise of Data Analysis:From Magical Thinking Through Classical Statistics。
De Moivre gave a simple closed form expression for the mean absolute deviation of the binomial distribution. Later authors showed that similar closed form expressions hold for many of the other cl...
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the in...
Let G be a classical complex Lie group, P any parabolic subgroup of G, and G/P the corresponding partial flag variety. We prove an explicit combinatorial Giambelli formula which expresses an a...

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