Chủ đề này có 4 trả lời

[hello]

what is the "spectral theory of operator " in mathematical physics ?do " spectral theory " of function relate it ?

[Kakalotta]

thế nào là lý thuyết phổ của hàm? mình không hiểu lắm? bạn có thể giải thích một chút được không?

[vodanhvn]

f(A)=f(.)(A), ly thuyet pho trong ham toan tu co phai khong? vi du : e^{-At} toan tu semigroup co pho la e^{-zt} voi z la pho cua A, phai co mot so dieu kien cua ham so de ton tai pho cua toan tu ham so do

[hello]

ới trời ! mình đang hỏi các bạn học toán ,thế mà quay ra hỏi lại mình ,kỳ hông kìa ! .lý thuyết phổ của hàm hả ,đây ,trong cuốn sách này nè " Spectral Theory of the Riemann Zeta-Function "( tác giả Y.MoTohashi.Nihon University, Tokyo)lời trích dẫn "The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own recent research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts with an elementary but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. This is achieved by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory as well. These ideas are then utilised to unveil a new image of the zeta-function, first perceived by the author, revealing it to be the main gem of a necklace composed of all automorphic L-functions. In this book, readers will find a detailed account of one of the most fascinating stories in the recent development of number theory, namely the fusion of two main fields in mathematics that were previously studied separately"

[thieunhilienxo]

Nhưng bác phải nói rõ định hỏi gì chứ? cách học? tài liệu ? hay cái chi mới được chứ! nói vậy thì ai hiểu được