標(biāo)題: Titlebook: Generalized Functions; Theory and Applicati Ram P. Kanwal Textbook 2004Latest edition Springer Science+Business Media New York 2004 Boundar [打印本頁(yè)] 作者: deferential 時(shí)間: 2025-3-21 19:24
書目名稱Generalized Functions影響因子(影響力)
作者: genesis 時(shí)間: 2025-3-21 23:21 作者: 不再流行 時(shí)間: 2025-3-22 02:15 作者: 大猩猩 時(shí)間: 2025-3-22 06:48
Distributional Derivatives of Functions with Jump Discontinuities,side or outside some surface . if the surface is closed, and on both sides of it if it is open. However, these functions or their first- or higher-order derivatives have jumps across 5. Classical theory is based on solving such problems on both sides of the boundaries and then attempting to satisfy 作者: TOXIN 時(shí)間: 2025-3-22 09:34 作者: 沉積物 時(shí)間: 2025-3-22 15:51 作者: 沉積物 時(shí)間: 2025-3-22 21:03
Applications to Boundary Value Problems,including dumbbells, elongated rods, and prolate bodies, of which spheres and spheroids are special cases. The methods rest on exploring the fundamental solutions of partial differential equations, as presented in the previous chapters, and then taking a suitable axial distribution of the Dirac delt作者: colony 時(shí)間: 2025-3-22 23:44 作者: 培養(yǎng) 時(shí)間: 2025-3-23 03:43
Interplay Between Generalized Functions and the Theory of Moments,the generalized functions and the theory of moments. Thus, they have not only succeeded in presenting a simplified approach to various known aspects of asymptotics but have also found many new results. They have applied their technique to many different branches of asymptotic expansions, such as asy作者: allude 時(shí)間: 2025-3-23 08:12 作者: beta-carotene 時(shí)間: 2025-3-23 10:53 作者: 催眠藥 時(shí)間: 2025-3-23 16:12 作者: 羅盤 時(shí)間: 2025-3-23 20:15 作者: insightful 時(shí)間: 2025-3-24 00:29
Applications to Wave Propagation,ul method of attacking these problems is to embed them in the whole space. This is achieved by extending the solution to the other side of the surface in some suitable fashion, as we did in deriving the Poisson integral formula in Chapter 10. We then obtain a regular singular function that satisfies作者: gregarious 時(shí)間: 2025-3-24 02:36 作者: dysphagia 時(shí)間: 2025-3-24 06:51 作者: extinct 時(shí)間: 2025-3-24 14:25 作者: glacial 時(shí)間: 2025-3-24 18:18
The Laplace Transform,is variable in this chapter. Let .(.) be a complex-valued function of the real variable . such that .(.).. is abolutely integrable over 0 < . < ∞, where . is a real number. Then the Laplace transform of .(.). ≥ 0, is defined as .where . = σ + .ω. The Laplace transform defined by (1) has the following basic properties.作者: 起草 時(shí)間: 2025-3-24 21:54 作者: 勤勉 時(shí)間: 2025-3-25 00:48 作者: Debility 時(shí)間: 2025-3-25 03:38
Christopher K. Macgowan,Andrea Kassneron to certain curvilinear coordinates. For this purpose we devote an entire section to this topic. Let us first study the meaning of the function δ[.(.)] and prove the result . Where .. runs through the simple zeros of . (.).作者: grandiose 時(shí)間: 2025-3-25 07:55
John A. Wilkinson BSc, MCh, FRCS is not integrable on any neighborhood of the origin. We succeeded in regularizing this function by defining the functionalPf (l/.) by the principal value of the singular integral defined by the quantity (φ, 1/.). The aim of this chapter is to extend this idea and to regularize various singular inte作者: 不自然 時(shí)間: 2025-3-25 13:24 作者: 公理 時(shí)間: 2025-3-25 17:48
Ghazi M. Rayan,Joseph Upton IIIespectively. Then a point in the Cartesian product .. +. = .. x .. is (.,.) = (..,…, .., ..,…, ..). Furthermore, let us denote by .., .., and ..+. the spaces of test functions with compact support in ..,.., and..+., respectively. When . (. ) and .(.) are locally integrable functions in the spaces ..作者: THE 時(shí)間: 2025-3-25 23:38
https://doi.org/10.1007/978-3-7985-1719-6is variable in this chapter. Let .(.) be a complex-valued function of the real variable . such that .(.).. is abolutely integrable over 0 < . < ∞, where . is a real number. Then the Laplace transform of .(.). ≥ 0, is defined as .where . = σ + .ω. The Laplace transform defined by (1) has the followin作者: 神圣不可 時(shí)間: 2025-3-26 03:44
Hirofumi Saiki MD,Hideaki Senzaki MDincluding dumbbells, elongated rods, and prolate bodies, of which spheres and spheroids are special cases. The methods rest on exploring the fundamental solutions of partial differential equations, as presented in the previous chapters, and then taking a suitable axial distribution of the Dirac delt作者: SPECT 時(shí)間: 2025-3-26 06:48 作者: Glower 時(shí)間: 2025-3-26 10:39
https://doi.org/10.1007/978-3-319-78423-6the generalized functions and the theory of moments. Thus, they have not only succeeded in presenting a simplified approach to various known aspects of asymptotics but have also found many new results. They have applied their technique to many different branches of asymptotic expansions, such as asy作者: 知識(shí) 時(shí)間: 2025-3-26 13:36
https://doi.org/10.1007/978-3-319-44691-2nctions into functions. Let a class of functions be given, all defined for a variable, say, time ., -∞ <. < ∞. Then an operator (transformation) . assigns a member of this class (inputs, excitations, or signals) to members of a second class of functions (outputs or responses). We shall use the symbo作者: CALL 時(shí)間: 2025-3-26 16:58
978-0-8176-4343-0Springer Science+Business Media New York 2004作者: 碎石 時(shí)間: 2025-3-26 23:36
https://doi.org/10.1007/978-3-642-67654-3The Heaviside function .(.) is defined to be equal to zero for every negative value of . and to unity for every positive value of ., that is, 作者: 評(píng)論性 時(shí)間: 2025-3-27 01:40
https://doi.org/10.1007/978-3-030-10782-6In attempting to define the Fourier transform of a distribution . (.), we would like to use the formula (in ..) ..作者: NEXUS 時(shí)間: 2025-3-27 09:02 作者: noxious 時(shí)間: 2025-3-27 11:29 作者: 誘使 時(shí)間: 2025-3-27 17:30 作者: NIB 時(shí)間: 2025-3-27 17:58
The Dirac Delta Function and Delta Sequences,The Heaviside function .(.) is defined to be equal to zero for every negative value of . and to unity for every positive value of ., that is, 作者: 凝結(jié)劑 時(shí)間: 2025-3-28 01:56 作者: Blatant 時(shí)間: 2025-3-28 02:08 作者: BROTH 時(shí)間: 2025-3-28 06:58
Applications to Partial Differential Equations,Recall from Chapter 2 that the differential operator . of order . in . independent variables ..,.., …,..,is .where the coefficients .. have partial derivatives of all orders. Its formal adjoint .* is defined as 作者: 現(xiàn)暈光 時(shí)間: 2025-3-28 12:04
Miscellaneous Topics,In order to present the applications of generalized functions to the theories of probability and random processes let us start with some basic concepts.作者: PALMY 時(shí)間: 2025-3-28 15:17 作者: Grasping 時(shí)間: 2025-3-28 22:26 作者: macabre 時(shí)間: 2025-3-28 23:17 作者: ANTI 時(shí)間: 2025-3-29 05:06 作者: Encephalitis 時(shí)間: 2025-3-29 11:08
Hirofumi Saiki MD,Hideaki Senzaki MDa function and its derivatives on a segment of the axis of symmetry of the body. This idea is extended to include distribution of these functions on arbitrary straight lines, curves, and disks [47-55].作者: airborne 時(shí)間: 2025-3-29 13:41 作者: palette 時(shí)間: 2025-3-29 18:44
https://doi.org/10.1007/978-3-319-44691-2l .(.) for an input and .(.) for the corresponding output. A system is a mathematical model of a physical device and is represented by an operator .. Then .(.) is called the response of .(.) due to the given system. A system is often represented by a box as shown in Figure 14.1.作者: 恃強(qiáng)凌弱 時(shí)間: 2025-3-29 23:46
Applications to Boundary Value Problems,a function and its derivatives on a segment of the axis of symmetry of the body. This idea is extended to include distribution of these functions on arbitrary straight lines, curves, and disks [47-55].作者: Processes 時(shí)間: 2025-3-29 23:55
Interplay Between Generalized Functions and the Theory of Moments,mptotic evaluation of divergent integrals, boundary layer theory and singular perturbations. Our aim in this chapter is to present the basic concepts of their methods and illustrate them with representative examples.作者: cipher 時(shí)間: 2025-3-30 04:13
Linear Systems,l .(.) for an input and .(.) for the corresponding output. A system is a mathematical model of a physical device and is represented by an operator .. Then .(.) is called the response of .(.) due to the given system. A system is often represented by a box as shown in Figure 14.1.作者: faculty 時(shí)間: 2025-3-30 11:31
Ghazi M. Rayan,Joseph Upton IIIdenote by .(.) ? .(.) the direct product of the distributions .(.) ∈ D. and .(.) ∈ D. according to (1),. and check whether the right side of this equation defines a linear continuous functional overD. . For this purpose , we prove the following lemma:.. D.. D., . D., and .. D.. (X., x.,..., xm) only. . D. as l → ∞, . ψ.. D. as l → ∞.作者: HALO 時(shí)間: 2025-3-30 13:53 作者: Genteel 時(shí)間: 2025-3-30 17:45 作者: isotope 時(shí)間: 2025-3-30 23:45
Congenital Diseases and Syndromesf order .; then we define . where .. = ?/?... 1,2,…, .. For the one-dimensional case .. reduces to ./.. Furthermore, if any component of . is zero, the differentiation with respect to the corresponding variable is omitted. For instance, in .., with . (3, 0, 4), we have
