標(biāo)題: Titlebook: Generalized Functions and Their Applications; R. S. Pathak Book 1993 Springer Science+Business Media New York 1993 Manifold.Standard.diffe [打印本頁] 作者: affront 時間: 2025-3-21 17:52
書目名稱Generalized Functions and Their Applications影響因子(影響力)
書目名稱Generalized Functions and Their Applications影響因子(影響力)學(xué)科排名
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書目名稱Generalized Functions and Their Applications網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Generalized Functions and Their Applications被引頻次
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書目名稱Generalized Functions and Their Applications讀者反饋
書目名稱Generalized Functions and Their Applications讀者反饋學(xué)科排名
作者: 極大痛苦 時間: 2025-3-21 20:53 作者: 擁擠前 時間: 2025-3-22 02:57
Applications of Generalized Functions to Shocks and Discrete Models,tion. Generalized functions are also a powerful tool to formulate in a unified manner fundamental physical laws. We shall give here two general examples of such an application of generalized functions. The first is to the writing of the equations satisfied by shock waves : we establish in particular作者: instate 時間: 2025-3-22 08:35 作者: JUST 時間: 2025-3-22 09:50 作者: DEBT 時間: 2025-3-22 14:42 作者: DEBT 時間: 2025-3-22 17:07 作者: terazosin 時間: 2025-3-23 00:45
Nonstandard Treatments of New Generalised Functions,lombeau and others. The new generalised functions of Colombeau [1], [2], [3], [4], include distributions as a special sub-class, together with various non-linear functions of them. In particular the multiplication problem is comprehensively solved and expressions such as δ., δ. and so on are meaning作者: 生命層 時間: 2025-3-23 02:23
Interplay between Singularities Asymptotics and Generalized Functions,.We start with the basic concepts of the sifting property of the delta function and the fact that it is the derivative of the Heaviside function. Then we build up the derivatives of the generalized functions across a surface of discontinuity. We demonstrate that this information is sufficient to der作者: 鑒賞家 時間: 2025-3-23 08:42
Hyperfunctions, Ultradistributions and Microfunctions,(Ω) in 1948–51. Dirac’s . function and Hadamard’s finite part of .., . < -1, are famous. More generally P. Lévy [16] had determined the dual of ..([a, b]). Yet the true history of generalized functions started with Schwartz.作者: 蚊子 時間: 2025-3-23 10:09
On the Expansion of Zonal Holomorphic Functions on the Complex Sphere,to study functions or generalized functions on it, we study the Fourier series. If we are working in the analytic category, our objects are real analytic functions and hyperfunctions on .. and they can be characterized by the growth conditions of their Fourier coefficients. For example, . is real an作者: Aboveboard 時間: 2025-3-23 16:47 作者: 祖?zhèn)?nbsp; 時間: 2025-3-23 18:44 作者: 幻想 時間: 2025-3-24 00:08 作者: 漸強 時間: 2025-3-24 03:54
Arduino, Circuits and Components,ce. In one of the applications we describe the domains of exponentiated square roots of Jacobi operators in ordinary Sobolev spaces on [-1,1]. This case was left in [GE]. We also relate this to a refinement of Szeg?’s result on series of Jacobi polynomials on an ellips. (Thm 4.1).作者: Gesture 時間: 2025-3-24 07:11 作者: BROTH 時間: 2025-3-24 11:13
Alan J. Grodzinsky,Eliot H. Frankerfect in a reasonable sense, but the situation will be restrictive in two senses. The first sense is on the assumption for the boundary values of the members of the Szeg? space. Indeed, he assumes that the members of the Szeg? space can be extended continuously up to the boundary. Therefore, his sp作者: antiquated 時間: 2025-3-24 17:57
Book 1993studies generalized functions on manifold and gives applications to shocks and discrete models. The other contributions relate to contemporary problems and achievements in theory and applications, especially in the theory of partial differential equations, differential geometry, mechanics, mathemati作者: 說不出 時間: 2025-3-24 20:03 作者: 內(nèi)閣 時間: 2025-3-24 23:34
Riesz Bases of Special Polynomials in Weighted Sobolev Spaces of Analytic Functions,ce. In one of the applications we describe the domains of exponentiated square roots of Jacobi operators in ordinary Sobolev spaces on [-1,1]. This case was left in [GE]. We also relate this to a refinement of Szeg?’s result on series of Jacobi polynomials on an ellips. (Thm 4.1).作者: 字的誤用 時間: 2025-3-25 06:10 作者: exclamation 時間: 2025-3-25 10:44 作者: HEW 時間: 2025-3-25 15:08 作者: ARK 時間: 2025-3-25 19:21 作者: rods366 時間: 2025-3-25 21:20
An Impossible Yet Necessary Task(Ω) in 1948–51. Dirac’s . function and Hadamard’s finite part of .., . < -1, are famous. More generally P. Lévy [16] had determined the dual of ..([a, b]). Yet the true history of generalized functions started with Schwartz.作者: Bereavement 時間: 2025-3-26 02:57 作者: 幾何學(xué)家 時間: 2025-3-26 04:28
Learning and Using Specific Instances,established tauberian theorems for Fourier-Laplace transforms of generalized functions in the complex domain. In the present work Pseudo-asymptotic expansion (p.a.e.) of generalized functions is defined as an improvement over its quasi-asymptotic expansion (q.a.e.) providing an error term in q.a.e.作者: TAIN 時間: 2025-3-26 09:25 作者: 怎樣才咆哮 時間: 2025-3-26 15:54
,Generalized D’Alembert Functional Equation in Distributions,fining certain operators on Schwartz distributions and using these to reformulate the classical equation. It is shown that for regular distributions (i.e. locally integrable functions), the distributional solution reduces to the classical one.作者: Deceit 時間: 2025-3-26 19:40 作者: 褪色 時間: 2025-3-27 00:46
On the Expansion of Zonal Holomorphic Functions on the Complex Sphere,to study functions or generalized functions on it, we study the Fourier series. If we are working in the analytic category, our objects are real analytic functions and hyperfunctions on .. and they can be characterized by the growth conditions of their Fourier coefficients. For example, . is real analytic if and only if 作者: 漸強 時間: 2025-3-27 02:43
Pseudo-Asymptotic Expansion of Generalized Functions,established tauberian theorems for Fourier-Laplace transforms of generalized functions in the complex domain. In the present work Pseudo-asymptotic expansion (p.a.e.) of generalized functions is defined as an improvement over its quasi-asymptotic expansion (q.a.e.) providing an error term in q.a.e.作者: 寵愛 時間: 2025-3-27 06:56 作者: PRE 時間: 2025-3-27 09:45
978-1-4899-1593-1Springer Science+Business Media New York 1993作者: 熄滅 時間: 2025-3-27 17:08
https://doi.org/10.1007/978-3-031-37813-3ll of the Euclidean space .., which moreover satisfy specific boundary conditions on the unit sphere. These nullsolutions are complexified to the Lie ball in .., thus forming a closed sub-module of the Hilbertmodule (Math) which consists of holomorphic functions in the Lie ball with ..-boundary beha作者: 送秋波 時間: 2025-3-27 20:16
https://doi.org/10.1007/978-1-4939-4026-4numbers which is used to define ultradistributions. A norm growth of the Cauchy integral of elements in .’ (..), where * is either (..) or {..}, is obtained involving the associated function . corresponding to the sequences ..; the Cauchy integral is a holomorphic function of . ? . + . 2282 .. where作者: Confess 時間: 2025-3-27 23:27
https://doi.org/10.1007/978-3-658-44470-9tion. Generalized functions are also a powerful tool to formulate in a unified manner fundamental physical laws. We shall give here two general examples of such an application of generalized functions. The first is to the writing of the equations satisfied by shock waves : we establish in particular作者: 音樂等 時間: 2025-3-28 03:23 作者: cavity 時間: 2025-3-28 09:32 作者: 碳水化合物 時間: 2025-3-28 10:33
Arduino, Circuits and Components,n tools are introduced..First, starting from weighted Sobolev spaces on a disc or an annulus and supplied with the Taylor basis, we move to an ‘a(chǎn)rbitrary’ open set by means of a conformal mapping. In many cases our weighted Sobolev spaces behave naturally under an analytic pull-back. The analytic fu作者: ASTER 時間: 2025-3-28 15:39
Svetlana Yarosh,Gregory D. Abowdme preliminary results concerning Toeplitz operators for Bergman classes. More explicitly, we look at the space of boundary functions of elements in the standard Bergman class ..(.), consisting of functions analytic on the open unit disk . and square-summable with respect to the area measure. As the作者: spinal-stenosis 時間: 2025-3-28 20:59 作者: verdict 時間: 2025-3-29 01:14
Anne Katherine Griswold,Erika Ruckert.We start with the basic concepts of the sifting property of the delta function and the fact that it is the derivative of the Heaviside function. Then we build up the derivatives of the generalized functions across a surface of discontinuity. We demonstrate that this information is sufficient to der作者: 阻礙 時間: 2025-3-29 05:28 作者: extrovert 時間: 2025-3-29 07:46 作者: endure 時間: 2025-3-29 12:28 作者: 懸崖 時間: 2025-3-29 17:31
https://doi.org/10.1007/978-3-030-46274-1utions stimulated many mathematicians to study such problems in various subspaces of distributions. We cite here only the results of Zielezny ([15], [16]) and Swartz ([12], [13]), since they are connected with the results of this paper. Convolution equations for ultradistribution spaces were studied作者: PARA 時間: 2025-3-29 22:50 作者: trigger 時間: 2025-3-30 02:07
V. Vijayaraghavan,J. Rian LeevinsonThe Cauchy representation of distributions in the space (..(..))’ is proved. It is shown that every probability density defines a generalized function on the space ..(..) (1 < p < ∞) of test functions. Application of these results in probability theory are discussed.作者: Nonconformist 時間: 2025-3-30 06:26
Connecting the Internet of ThingsSome classes of spaces of generalized functions with special reference to the Laplace transformation are surveyed, the spaces being norm completions. It is proved using a theorem of G. D. Birkhoff that these spaces contain universal approximants..Mathematics Subject Classification: primary 44A40, 44A10, secondary 44A35, 46F12.作者: 過剩 時間: 2025-3-30 10:57
Andrew Junor,Damian Gleeson,Susan MaysonSince the publication of Schwartz’s work on the theory of distributions (Schwartz, 1950–1951), in particular his work on the Fourier transform of distributions, there has been a tremendous influx of research papers on integral transforms of generalized functions. One of the main sources on this topic is the book by Zemanian (1968).作者: dissent 時間: 2025-3-30 12:39 作者: 新鮮 時間: 2025-3-30 20:26 作者: 典型 時間: 2025-3-30 20:48
Cauchy Representation of Distributions and Applications to Probability II,The Cauchy representation of distributions in the space (..(..))’ is proved. It is shown that every probability density defines a generalized function on the space ..(..) (1 < p < ∞) of test functions. Application of these results in probability theory are discussed.作者: scotoma 時間: 2025-3-31 01:25 作者: 魯莽 時間: 2025-3-31 06:06
An Extension of the Radon Transform,Since the publication of Schwartz’s work on the theory of distributions (Schwartz, 1950–1951), in particular his work on the Fourier transform of distributions, there has been a tremendous influx of research papers on integral transforms of generalized functions. One of the main sources on this topic is the book by Zemanian (1968).作者: Synapse 時間: 2025-3-31 09:27 作者: obviate 時間: 2025-3-31 14:30 作者: 提名 時間: 2025-3-31 20:14 作者: flourish 時間: 2025-3-31 23:57
Svetlana Yarosh,Gregory D. Abowdhe standard Bergman class ..(.), consisting of functions analytic on the open unit disk . and square-summable with respect to the area measure. As the functions in .. (.) usually have boundary values only in the sense of Schwartz distributions, so we are led to the notion of Toeplitz operators acting on distributions.作者: 迅速飛過 時間: 2025-4-1 02:28
https://doi.org/10.1007/978-3-030-46274-116]) and Swartz ([12], [13]), since they are connected with the results of this paper. Convolution equations for ultradistribution spaces were studied by Meise, Taylor, Voigt and their cooperators; (see [1], [7] and references there.)作者: anagen 時間: 2025-4-1 09:21
