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The pseudodifferential operator A(x,D)

The pseudodifferential operator A(x,D)

... Definition 2.1 . Let a(x, ξ) be a complex-valued smooth function belonging to the space C ∞ (I × I), where I = (0,∞), and let its derivatives satisfy certain growth condi- tions such as (2.3). The ... See full document

13

Hole conductivity in oxygen-excess BaTi(1-x)CaxO(3-x+d)

Hole conductivity in oxygen-excess BaTi(1-x)CaxO(3-x+d)

... which were dried prior to weighing at 180, 800 and 180 1 C, respectively. Samples totalling ca. 3 g were mixed with acetone manually in a mortar and pestle, dried and fired in Pt crucibles, initially to decarbonate at ... See full document

9

Properties of positive solutions for the operator equation \(Ax=\lambda x\) and applications to fractional differential equations with integral boundary conditions

Properties of positive solutions for the operator equation \(Ax=\lambda x\) and applications to fractional differential equations with integral boundary conditions

... Remark . Comparing Theorem . and Corollary . with many main results in the literature, here we present an alternative approach to the study of similar problems under different conditions. Our results cannot only ... See full document

10

X(3915) as a tensor D∗D¯∗ molecule

X(3915) as a tensor D∗D¯∗ molecule

... the X(3915) charmonium- like state may be identified as a tensor DD ¯ ∗ molecule and as such may have a prominent helicity-0 component in its wave function which would allow one to treat the ... See full document

6

Analysis of Reproductive Characters in Hybrid Pig Combination (CLW x CL) x (D x Pn)

Analysis of Reproductive Characters in Hybrid Pig Combination (CLW x CL) x (D x Pn)

... From reached results of reproductive traits in studied hybrid combination (Czech Large White x Czech Landrace) x (Pietrain x Duroc) it is possible to pronounce that very good results were achieved. ... See full document

7

Wind tunnel experiments on wind turbine wakes in yaw: effects of inflow turbulence and shear

Wind tunnel experiments on wind turbine wakes in yaw: effects of inflow turbulence and shear

... and x/D = 6 match qualitatively well with our results when an opposite sense of turbine rota- tion is taken into ...at x/D = 3 and x/D = 6 of the results presented here of test ... See full document

15

A Note on the Range of the Operator X↦TX−XT Defined on

A Note on the Range of the Operator X↦TX−XT Defined on 𝒞2(ℋ)

... Proof. It is well known that an operator T ∈ H M H with finite spectrum is normal. Indeed, for such an operator, the restriction to an invariant subspace M belongs to H M M. On the other hand, if T ∈ H M H ... See full document

6

On fixed points of φ-type Ciric operators

On fixed points of φ-type Ciric operators

... Ciri´c operator over (X,d) via integral met- ric, and search for appropriate conditions that ensure fixed point of φ -type ´ Ciri´c operator over a complete metric space; allied matters like ... See full document

12

The Fuglede Putnam theorem for quasihyponormal operators

The Fuglede Putnam theorem for quasihyponormal operators

... We show that if T ∈ Ꮾ ( Ᏼ ) is a (p,k)-quasihyponormal operator and S ∗ ∈ Ꮾ ( ᏷ ) is a p- hyponormal operator, and if TX = XS, where X : ᏷ → Ᏼ is a quasiaffinity (i.e., a one-one map having dense ... See full document

7

The Continuous Wavelet Transform Associated with a Dunkl Type Operator on the Real Line

The Continuous Wavelet Transform Associated with a Dunkl Type Operator on the Real Line

... In Section 3, we exhibit a relationship between the generalized and Dunkl continuous wavelet transforms. Such a relationship allows us to establish for the gener- alized continuous wavelet transform a Plancherel for- ... See full document

8

Fractional integration operator of variable order in the holder spaces Hλ(x)

Fractional integration operator of variable order in the holder spaces Hλ(x)

... paper we deal only with the question of improving the smoothness property, expressed in terms of the Holder type condition, by the operator 1, and the theorem.. required definitions and [r] ... See full document

12

Wavefront sets and polarizations on supermanifolds

Wavefront sets and polarizations on supermanifolds

... of pseudodifferential operators on supermanifolds as introduced by Rem- pel and Schmitt, we define a suitable notion of super wavefront set for superdistribu- tions which generalizes Dencker’s polarization sets ... See full document

26

Some Orlicz norms inequalities for the composite operator T ∘ d ∘ H

Some Orlicz norms inequalities for the composite operator T ∘ d ∘ H

... where A: Θ × Λ ℓ ( ℝ n ) ® Λ ℓ ( ℝ n ) and B: Θ × Λ ℓ ( ℝ n ) ® Λ ℓ -1 ( ℝ n ) satisfy the conditions: |A(x, h)| ≤ a|h| s-1 , A(x, h) · h ≥ |h| s , and |B(x, h)| ≤ b|h| s-1 for almost every x ... See full document

12

Significantly Reduced Radiation Exposure to Operators during Kyphoplasty and Vertebroplasty Procedures: Methods and Techniques

Significantly Reduced Radiation Exposure to Operators during Kyphoplasty and Vertebroplasty Procedures: Methods and Techniques

... lateral x-ray tube, and the ...the operator during the ...lateral x-ray ...the operator, consisting of a loud chirping noise that is pro- Received June 13, 2005; accepted after revision August ... See full document

6

Relation of Generalized Two Dimensional Fractional Cosine Transform with Other Transform

Relation of Generalized Two Dimensional Fractional Cosine Transform with Other Transform

... signal x(t) to be represented along the time axis and its ordinary FT X (F) to be represented along the frequency axis, then the FT operator (denoted by F) can be visualized as change in ... See full document

9

A differentiable characterization of local contractions on Banach spaces

A differentiable characterization of local contractions on Banach spaces

... converges locally to x ∗ ([], Chapter , p.). Conversely, if () converges locally to x ∗ , it must be the case that ρ(∂φ(x ∗ )) ≤ . In this note we prove a refinement to this result for ... See full document

5

Existence of Weak Solutions for a Nonlocal Problem Involving the p(x) Laplace Operator

Existence of Weak Solutions for a Nonlocal Problem Involving the p(x) Laplace Operator

... [8] I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974), 324–353. [9] X. L. Fan, J. S. Shen and D. Zhao, Sobolev embedding theorems for spaces W k,p( · ) (Ω), J. Math. Anal. Appl. 262 ... See full document

6

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

... The first author [17] has given another simple proof of the theorem by virtue of the Rubio de Francia algorithm [4, 25–27]. The proof in [17] is applicable to the case that X is a ball Banach function space and to ... See full document

11

Operator theory on spectrum of discrete laplace beltrami operator riemannian metric

Operator theory on spectrum of discrete laplace beltrami operator riemannian metric

... a Riemannian manifold , having define vectors and one-form we can define tensor , a tensor of rank ( m , n ) also called ( m , n ) tensor , is defined to be scalar function of m one-forms and v vectors that is linear in ... See full document

23

Factorization of the identity through operators with large diagonal

Factorization of the identity through operators with large diagonal

... space X with an unconditional basis, we consider the following question: does the identity operator on X factor through every operator on X with large diagonal relative to the ... See full document

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