{"id":66504,"date":"2025-05-11T14:57:58","date_gmt":"2025-05-11T14:57:58","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d9%87%d8%a7%d8%b1%d9%85%d9%88%d9%86%db%8c%da%a9-%d8%af%d8%b1-%d9%81%d8%b6%d8%a7%d9%87%d8%a7%db%8c-%d9%85%d8%aa%d9%82%d8%a7%d8%b1%d9%86\/"},"modified":"2025-05-11T11:29:04","modified_gmt":"2025-05-11T11:29:04","slug":"%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d9%87%d8%a7%d8%b1%d9%85%d9%88%d9%86%db%8c%da%a9-%d8%af%d8%b1-%d9%81%d8%b6%d8%a7%d9%87%d8%a7%db%8c-%d9%85%d8%aa%d9%82%d8%a7%d8%b1%d9%86","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%da%a9%d8%aa%d8%a7%d8%a8-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d9%87%d8%a7%d8%b1%d9%85%d9%88%d9%86%db%8c%da%a9-%d8%af%d8%b1-%d9%81%d8%b6%d8%a7%d9%87%d8%a7%db%8c-%d9%85%d8%aa%d9%82%d8%a7%d8%b1%d9%86\/","title":{"rendered":"\u06a9\u062a\u0627\u0628 \u062a\u062d\u0644\u06cc\u0644 \u0647\u0627\u0631\u0645\u0648\u0646\u06cc\u06a9 \u062f\u0631 \u0641\u0636\u0627\u0647\u0627\u06cc \u0645\u062a\u0642\u0627\u0631\u0646"},"content":{"rendered":"

 <\/p>\n

\"\u062f\u0627\u0646\u0644\u0648\u062f<\/div>\n\n\n\n
\n

\u0639\u0646\u0648\u0627\u0646 \u06a9\u062a\u0627\u0628 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc:<\/h3>\n<\/td>\n

\n

Harmonic Analysis on Symmetric Spaces \u2013 Euclidean Space, the Sphere, and the Poincare Upper Half-Plane<\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\u0633\u0627\u0644 \u0627\u0646\u062a\u0634\u0627\u0631: 2013\u00a0\u00a0|\u00a0\u00a0326 \u0635\u0641\u062d\u0647\u00a0\u00a0|\u00a0\u00a0\u062d\u062c\u0645 \u0641\u0627\u06cc\u0644: 8 \u0645\u06af\u0627\u0628\u0627\u06cc\u062a\u00a0\u00a0|\u00a0\u00a0\u0632\u0628\u0627\u0646: \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n
\u0646\u0648\u06cc\u0633\u0646\u062f\u0647<\/td>\nAudrey Terras<\/td>\n<\/tr>\n
\u0646\u0627\u0634\u0631<\/td>\nSpringer<\/td>\n<\/tr>\n
ISBN10:<\/td>\n1461479711<\/td>\n<\/tr>\n
ISBN13:<\/td>\n9781461479710<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u06a9\u062a\u0627\u0628<\/h2>\n
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincar\u00e9 upper half plane.\u00a0 This book is intended for beginning graduate students in mathematics or researchers in physics or engineering.\u00a0 Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.
\nMany corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others’ work on quantum chaos, the work of T. Sunada, Marie-France Vign\u00e9ras, Carolyn Gordon, and others on Mark Kac’s question “Can you hear the shape of a drum?”, A. Lubotzky, R. Phillips and P. Sarnak’s examples of Ramanujan graphs, and, finally, the author’s comparisons of continuous theory with the finite analogues.
\nTopics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson’s summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincar\u00e9 upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups \u0393, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.<\/div>\n

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\n\u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0627\u0635\u0644\u0627\u062d\u0627\u062a \u0648 \u0628\u0647 \u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06cc \u0647\u0627 \u062f\u0631 \u0627\u06cc\u0646 \u0646\u0633\u062e\u0647 \u062c\u062f\u06cc\u062f \u06af\u0646\u062c\u0627\u0646\u06cc\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.\u0628\u0647 \u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06cc \u0647\u0627 \u0634\u0627\u0645\u0644 \u0628\u062d\u062b \u062f\u0631 \u0645\u0648\u0631\u062f P. Sarnak \u0648 \u06a9\u0627\u0631\u0647\u0627\u06cc \u062f\u06cc\u06af\u0631\u0627\u0646 \u062f\u0631 \u0645\u0648\u0631\u062f \u0647\u0631\u062c \u0648 \u0645\u0631\u062c \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u060c \u06a9\u0627\u0631 T. Sunada \u060c Marie-France Vign\u00e9ras \u060c Carolyn Gordon \u0648 \u062f\u06cc\u06af\u0631\u0627\u0646 \u062f\u0631 \u0645\u0648\u0631\u062f \u0633\u0648\u0627\u0644 \u0645\u0627\u0631\u06a9 \u06a9\u0627\u06a9 “\u0622\u06cc\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0634\u06a9\u0644 \u06cc\u06a9 \u0637\u0628\u0644 \u0631\u0627 \u0628\u0634\u0646\u0648\u06cc\u062f\u061f” \u060c A.\u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc Lubotzky \u060c R. Phillips \u0648 P. Sarnak \u0627\u0632 \u0646\u0645\u0648\u062f\u0627\u0631\u0647\u0627\u06cc Ramanujan \u060c \u0648 \u0633\u0631\u0627\u0646\u062c\u0627\u0645 \u060c \u0645\u0642\u0627\u06cc\u0633\u0647 \u0646\u0648\u06cc\u0633\u0646\u062f\u0647 \u0627\u0632 \u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0627\u0648\u0645 \u0628\u0627 \u0622\u0646\u0627\u0644\u0648\u06af\u0647\u0627\u06cc \u0645\u062d\u062f\u0648\u062f.
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\n
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\r\n\t\t\t\u0634\u0645\u0627\u0631\u0647 \u062a\u0645\u0627\u0633: 09395106248 \r\n\r\n\t\t<\/td>\r\n\t<\/tr>\r\n\t\r\n<\/table>\r\n
\r\n\r\n<\/p>\n","protected":false},"excerpt":{"rendered":"

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