<ruby id="d9npn"></ruby>

      <sub id="d9npn"><progress id="d9npn"></progress></sub>

      <nobr id="d9npn"></nobr>

      <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

      <th id="d9npn"><meter id="d9npn"></meter></th>

      Stack Exchange Network

      Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

      Visit Stack Exchange

      Questions tagged [sp.spectral-theory]

      Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices

      1
      vote
      1answer
      57 views

      Sum of Square of the Eigenvalues of Wishart Matrix

      Let $A\in\mathbb{R}^{m\times d}$ matrix with iid standard normal entries, and $m\geqslant d$, and define $S=A^T A$. I want to have a tight upper bound for $\sum_{k=1}^d \lambda_k^2$, where $\...
      1
      vote
      0answers
      63 views

      Shift operator on a Banach space

      I have been the paper titled Dual Piecewise Analytic Bundle Shift Models of Linear Operators by Dmitry Yakubovich. In the second paragraph of the introduction it says "Let $T$ be a bounded Linear ...
      2
      votes
      1answer
      146 views

      Graph Fourier transform definition

      I have a question about the definition of the graph Fourier transform. Let me start with definition. Let $A$ be the adjacency matrix of a graph $G$ with vertex set $V = \{1, 2, \dots, n\}$. The ...
      2
      votes
      0answers
      35 views

      Zero in the spectrum of an elliptic second order operator

      This might be considered as a continuation of my previous question Spectrum of a linear elliptic operator but is independent. I have another question on V. Gribov's paper "Quantization of non-Abelian ...
      2
      votes
      0answers
      67 views

      Spectrum of a linear elliptic operator

      In the paper in quantum fields theory by Gribov,V.; (1978) "Quantization of non-Abelian gauge theories". Nuclear Physics B. 139: 1–19; in Section 3 the author makes the following claim from PDE and ...
      2
      votes
      0answers
      65 views

      Spectrum of a Hamiltonian which is a perturbation of Laplacian

      Let $\Delta =\frac{\partial^2}{\partial x_1^2}+\frac{\partial^2}{\partial x_2^2}+\frac{\partial^2}{\partial x_3^2}$ be the Laplacian on $\mathbb{R}^3$. Consider a self adjoint operator $H$ on complex ...
      0
      votes
      0answers
      65 views

      Show convergence of a sequence of resolvent operators

      Let $E$ be a locally compact separable metric space $(\mathcal D(A),A)$ be the generator of a strongly continuous contraction semigroup on $C_0(E)$ $E_n$ be a metric space for $n\in\mathbb N$ $(\...
      1
      vote
      0answers
      47 views

      Strong Differentiability of Spectral Projections

      Let $H$ be a Hilbert space and $W$ be a dense subspace, equipped with a different norm that turns it into a Hilbert space. Let $(A(t))_{t\in[0,T]}$ be a family of Operators in $B(W,H)$ (bounded ...
      10
      votes
      2answers
      473 views

      Eigenvalues of the Laplace-Beltrami operator on a compact Riemannnian manifold

      Let $(M,g)$ be a compact Riemannian manifold, and let $\Delta_g$ be its Laplace-Beltrami operator. A "well-known fact" is that the eigenvalues of $\Delta_g$ have finite multiplicity and tend to ...
      3
      votes
      1answer
      55 views

      How does $E$ closed follow from the upper semicontinuity of the spectrum?

      Let $f$ be an analytic function for a domain $D$ of $\mathbb{C}$ into a Banach algebra $A$. Suppose that, for all $\lambda \in D$, $\text{Sp}f(\lambda)$ is finite or a sequence converging to $0$. ...
      1
      vote
      0answers
      48 views

      Bounds on spectral radius using chromatic number

      I am struggling with this question: If I have a connected graph $G$ on $n$ vertices and $m$ edges with chromatic number $d$ then how can I give a bound(lower and upper) on its spectral radius in ...
      0
      votes
      0answers
      47 views

      Construction of a special sequence [duplicate]

      I m looking for a sequence $(f_j)\in C^\infty(\Bbb{R})$ such that $$ \int^\infty_0\Big|4r\partial^2_r f_j(r)+4\partial_r f_j(r)+rf_j(r)\Big|^2dr\to 0, $$ and $$\int_{\Bbb{R^+}}|f_j(r)|^2 dr=1\quad\...
      -1
      votes
      2answers
      144 views

      Invariance of spectrum under conjugation

      Let $T$ be a self-adjoint invertible operator on $\mathcal{H}$ with a continuous spectrum, means the spectral measure is nonatomic. For which class of invertible operators $V$( with continuous ...
      1
      vote
      0answers
      35 views

      Stable region of minimal hypersurfaces with finite Morse index

      In this Inventiones Mathematicae paper, Fischer-Colbrie proved the following result (Proposition 1): Proposition: Let $ M$ be a complete two-sided minimal surface in a three manifold $N$. Then if $M$...
      1
      vote
      0answers
      41 views

      Sturm-Liouville-like Eigenproblem

      Consider the piecewise-deterministic Markov process on $\mathbf{R}$ which moves according to the vector field $\phi (x) = 1$, experiences events at rate $\lambda(x) = 1$, and at events, jumps ...

      15 30 50 per page
      特码生肖图
      <ruby id="d9npn"></ruby>

          <sub id="d9npn"><progress id="d9npn"></progress></sub>

          <nobr id="d9npn"></nobr>

          <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

          <th id="d9npn"><meter id="d9npn"></meter></th>

          <ruby id="d9npn"></ruby>

              <sub id="d9npn"><progress id="d9npn"></progress></sub>

              <nobr id="d9npn"></nobr>

              <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

              <th id="d9npn"><meter id="d9npn"></meter></th>

              热那亚对 非常幸运,遇到极为难得的好机遇 龙族幻想路明非的职业 步行者老鹰 功夫派卖金龙珠 电竞传奇攻略 热血传奇客户端下载完整版官方网站 手机水果大战游戏 北京赛车pk10高手心得 广东26选5开奖